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Statistics Quiz Questions

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Comprehensive questions in statistics

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Page 1: Statistics Quiz Questions
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A nominal scale variable isA.Usually the result of counting somethingB.Has a meaningful zero pointC.May assume negative valuesD.Cannot have more than two categories

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The science of statistics includes which of the following:A.Organizing dataB.Presenting dataC.Interpreting dataD.All of the above

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A discrete variable isA. An example of a qualitative variableB. Can assume only whole number valuesC. Can assume only certain clearly separated values

D. Cannot be negative

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A qualitative variableA. Always refers to a sampleB. Is not numericC. Has only two possible outcomesD. All of the above are correct

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The ordinal scale of measurementA. Has a meaningful zero pointB. Is based on ranksC. Cannot assume negative valuesD. All of the above

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Which of the following are examples of continuous variables?A. Birth weight of babiesB. Distance between tollbooths on the New Jersey Turnpike

C. Age of the CEOs of the Fortune 500 companies

D. All of the above

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Which of the following statements is true regarding a population?A. It must be a large number of valuesB. It must refer to peopleC. It is a collection individuals, objects, or measurements

D.None of the

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Which of the following statements is true regarding a sample?A. It is a part of populationB. It must contain at least five observationsC. It refers to descriptive statisticsD. All of the above are correct

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The ratio scale of measurementA. Usually involves rankingB. Cannot assume negative valuesC. Has a meaningful zero pointD. Is usually based on counting

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In descriptive statistics our main objective is toA. Describe the populationB. Describe the data we collectedC. Infer something about the populationD. Compute an average

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You are conducting a survey of the people of the United Kindom to find out how popular the racket sports are. You randomly choose people to call, and make 1,000 phone calls to people scattered across the country. In this study, what is the statistics term for THE PEOPLE IN THE U.K., and what is the statistics term for THE PEOPLE YOU CALLED?

A. Both the people of the U.K. and the people you called are POPULATIONSB. The people of the U.K. are the POPULATION, and the people you called are the SAMPLE.C. The people of the U.K. are the SAMPLE, and the people you called are the POPULATION.D. Both the people of the U.K. and the people you called are SAMPLES.

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Age is classified asA. Nominal dataB. Ordinal dataC. Interval dataD. Ratio data

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You are interested in how stress affects heart rate in humans. Your dependent variable would be the _____.A. InterestB. Heart rateC. HumansD. Stress

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Gender is categorized asA. NominalB. OrdinalC. IntervalD. Ratio

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You are conducting a study to see whether a new experimental medication will cause bald men to grow hair. You divide your patients into 2 groups. To one group you give the medication. To the other group, you give a placebo. In this study, the correct terms for the taking of the medication and the growth of hair are the following.

A. Both the medication and the hair growth are dependent variables.B. Both the medication and the hair growth are independent variables.C. The medication is the dependent variable, and the hair growth is the independent variable.D. The medication is the independent variable, and the hair growth is the dependent variable.

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Which of the following definitions is the definition of the MODE?

A. The MODE is the value that has the highest frequency.

B. The MODE is the average calculated by adding up all the values and dividing by the number of entries.

C. The MODE is the largest value.

D. The MODE is the value that half of the entries are below and half of the entries are above.

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Which of the following definitions is the definition of the MEAN?

A. The MEAN is the largest value.B. The MEAN is the value that half of the entries are below and half of the entries are above.C. The MEAN is the value that has the highest frequency.D. The MEAN is the average calculated by adding up all the values and dividing by the number of entries.

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Which of the following definitions is the definition of the MEDIAN?

A. The MEDIAN is the value that half of the entries are below and half of the entries are above.B. The MEDIAN is the value that has the highest frequency.C. The MEDIAN is the largest value.D. The MEDIAN is the average calculated by adding up all the values and dividing by the number of entries.

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What is the median of the following set of numbers?{12,8,13,4,7,6,3,3,15}

A.12B.8C.7D.7.5

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What is the mode and the mean for the following set of numbers?{4,9,8,2,16,4,4,8,9,6}

A.Mean = 7, mode =8B.Mean = 7, mode =4C.Mean = 6, mode =8D.Mean = 8, mode =9

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Find the mean in the following numbers:19, 21, 18, 17, 18, 22, 46

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What is the median in the following numbers:19, 21, 18, 17, 18, 22, 46

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Find the range in the following numbers:9, 8, 15, 8, 20

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Find the mean in the following numbers:36, 38, 33, 34, 32, 30, 34, 35

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A box-and-whisker diagram is the most appropriate diagram to use when trying to determine the __________ of a data set.A. MeanB. SpreadC. ModeD. Mean Absolute Deviation

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Erin and Jessica both took the same four health tests. Their grades are listed below. Which of the following statements is true? Erin: 89, 76, 92, 83 Jessica: 95, 69, 78, 87

A. Erin's mean score is lower than Jessica's mean score.B. Jessica's mean score is lower than Erin's mean score.C. Jessica's median score is higher than Erin's median score.D. Jessica and Erin had the same median score.

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Find the interquartile range for the data set below. S = {1220, 1890, 1560, 1670, 1180, 2100, 1440}

A. 670B. 920C. 1560D.1580

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Find the mean absolute deviation for the data set below. 180, 154, 210, 177, 194

A.183B.76C.15.2D.14.6

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Justin took 10 math tests. His scores are listed below. Which of the following is the correct description of the lower 25% of Justin's scores? 82, 89, 75, 91, 83, 82, 71, 65, 93, 83A. 89 – 93B. 82.5 - 93C. 65 - 82.5D. 65 - 75

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Mike is deciding on tile for his bathroom. He has narrowed it down to 7 tiles. The price of the 7 tiles are listed below. Find the mean price of the tiles. $3.29, $4.15, $2.97, $2.61, $5.00, $2.99, $3.75

A. $24.76B. $3.54C. $3.29D. $3.53

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The min, Q1, Q2, Q3 and max of EOCT scores for 5 different math classes are listed below. Which class had the smallest middle 50% spread? Class A: 56, 71, 82, 89, 95 Class B: 64, 69, 78, 85, 92 Class C: 59, 67, 73, 80, 89 Class D: 64, 75, 83, 89, 94

A. Class AB. Class BC. Class CD. Class D

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The heights of 12 tomato plants in centimeters are listed below. In general the average height of a tomato plant is 90 cm and the median height is 86.5 cm. How does this data set compare? 67, 76, 79, 84, 86, 88, 89, 90, 91, 95, 95, 100

A. The mean for this data set is lower and the median is higher.B. The mean for this data set is higher and the median is lower.C. Both the mean and the median for this data set is lower.D. Both the mean and median for this data set is higher.E. The mean and median for this set are the same as the mean and median for the general population of tomato plants.

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The sum of deviations taken from arithmatic mean is?

A. MinimumB. ZeroC. MaximumD. None of the rest options given here

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2. What is the probability of drawing an ace from a bunch of playing cards?A. 1/10B. 1/13C. 1/52D. 1/4

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3. Which of the following statement is not correct in respect of the range as a measure of dispersion?A. It is difficult to calculateB. Only two points in the data set determines itC. It is affected by extreme valuesD. There may be considerable change in it from one

sample to another

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Which of the following statements about statistics is not correct?A. Statistics is sometimes misused by statisticians.B. Statistics has hardly any limitations.C. Statistics is indispensable in the management of business enterprises.D. Statistics is of two types: descriptive and inferential.

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What will be the range of "r" when we find that the dependent variable increases as the independent variable increases?A. 0 to -0.05B. 1 to 2C. 0.1 to 1D. None of the rest options

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The first step in the formation of a frequency table is?A. Choosing a suitable size or width of class intervals.B. Establishing the boundaries of each class intervals.C. Deciding an appropriate number of class groupings.D. Classifying the data into the appropriate classes.

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If the outcome of one event doesnot influence another event, then the two events are:A. Mutually exclusiveB. DependentC. IndependentD. Both a & c

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8. When the two regression lines coincide, then "r" is:A. 0B. -1C. 1D. 0.5

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What is the probability of getting an even number when a die is tossed?A. 1/3B. 1/2C. 1/6D. 1

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When the correlation coefficient between x and y is positive, then as variable x decreases, variable y :A. Remains the sameB. IncreasesC. DecreasesD. Changes linearly

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Which of the following correlation coefficients shows the highest degree of association?A. -1B. 1C. 0.9D. Both a & b

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12. Which of the curves is more peaked than the normal curve?A. MesokurticB. PlatykurticC. LapokurticD. None of the rest

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When the sample size increases , which of the following is correct?A. The standard error remains unchangedB. The standard error increasesC. The standard error declinesD. None of the rest options

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Which of the following is the most accurate method of classifying data?A. Qualitative MethodB. Quantitative MethodC. Method depending on the nature of information

required for a particular situation/ problem.D. A & B

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Which of the following is not true in respect of mean deviation?A. It is simple to understand.B. It considers each & every item in a series.C. It is capable of further algebric treatment.D. The extreme items have less effect on its

magnitude.

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In a symmetrical series:A. Mode > meanB. Mean > medianC. Mean < modeD. Mean=mode=median

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Which of the following statements is not correct?A. Extreme value in data affects the meanB. Mean is also known as averageC. Some data sets do not have meanD. At times weighted mean is much better

than the simple mean

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Which of the following statements describes "Statistics" most appropriately?A. Statistics is the science of counting.B. Statistics is the science of averages.C. Statistics is concerned with the collection, presentation and analysis of data leading to valid

conclusions.D. Statistics is the aggregate of facts.

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Which of the following components is used for a short-term forecast?A. CyclicalB. TrendC. SeasonalD. None of the rest options

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When calculating median of data set, the first step is:A. Calculate the mean of two middle items in the data setB. Arrange the data in ascending or descending orderC. Determine the relative weights of data values in terms of

importanceD. None of the other given options

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There are 10 different cereals at the grocery store. 5 of the 10 cereals are made by General Mills. What is the probability of randomly choosing 3 boxes and having all three be General MIlls brand?A. 1/10B. 1/120C. 1/12D. 1500

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A jar contains 4 green marbles, 5 red marbles, and 11 white marbles. If one marble is chosen at random, what is the probability that it will NOT be green?A. 4/5B. 1/5C. 20D. 3/4

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Serial numbers for a product are to be made using three letters (using any letter of the alphabet) followed by two single-digit numbers. For example, JGR29 is one such serial number. How many such serial numbers are possible if neither letters nor numbers can be repeated?A. 117,000B. 15,690C. 2,000,000,000D. 1,404,000

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There are 10 different cereals at the grocery store. 5 of the 10 cereals are made by General Mills. What is the probability of randomly choosing 3 boxes and having none of the three boxes be General Mills?A. 1/10B. 1/120C. 1/12D. 1500

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A restaurant’s fixed-price special dinner consists of an appetizer, an entrée, and dessert. If the restaurant offers 5 different types of appetizers, 5 different types of entrees, and 4 different types of desserts, how many different ways to order a fixed-price special dinner?A. 60B. 100C. 200D. 3000

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A phone number has 10 digits (0, 1, 2, ..., 9). How different phone numbers are there?A. 1x10^10B. 1,000C. 1x10^100D. 3,628,800

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A menu offers 4 choices for the first course, 5 choices for the second course, and 2 courses for dessert. How many different meals, consisting of a first course, a second course, and a dessert, can one choose from this menu?A. 60B. 40C. 20D. 10

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How many 4-person committees can be formed from a club of 12 members?A. 11,880B. 495C. 48D. 3

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There are 30 students in a statistics class. How many ways can the teacher pick out a group of 5 students?A. 150B. 17,100,720C. 142,506D. None of the answers

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Kareem has 4 sweaters, 6 shirts, and 3 pairs of slacks. How many distinct outfits, each consisting of a sweater, a shirt, and a pair of slacks, can Kareem select?A. 13B. 36C. 72D. 216

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In how many ways can a first prize, a second prize and four identical third prizes be awarded to a group of 15 people?A. 5005B. 3,603,600C. 150,150D. None of the answers

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Of the 40 dogs at the animal shelter, 12 are purebred. If 1 of the 40 dogs is selected at random, what is the probability that it is purebred?A. .12B. .30C. .40D. .70

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At the school cafeteria, 4 boys and 3 girls are forming a lunch line. If the boys must stand in the first two and last two places in line, how many different lines can be formed?A. 24B. 6C. 144D. 12

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If A={1, 2, 3, 4, 5}B={4, 5, 6, 7}C={5, 6, 7, 8}What is

A. {1, 2, 3, 4, 5}B. {4, 5, 6, 7, 8}C. {5}D. {1, 2, 3, 4, 5, 6, 7, 8}

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Pizza Hut offers 15 different toppings. Assuming no topping can be repeated on a single pizza, how many different 3 topping pizzas be created?A. 455B. 2730C. 45D. None of the answers

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In a new group of 15 employees at a restaurant, 10 are to be assigned as servers, 3 are to be assigned as hosts, and 2 are to be assigned as cashiers. In how many ways can the assignment be made?A. 60B. 30,030C. 3014D. 50,000

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A phone number has 10 digits (0, 1, 2, ..., 9). How many phone numbers consist of 10 digits where none of the digits repeat?A. 1,000,000,000B. 3,628,800C. 5,000,000D. 1,000

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John needs to pick up his clothes for the day. He can choose from 6 different shirts, 4 different pairs of pants, and 8 different socks. If an outfit consists of 1 shirt, 1 pair of pants, and 2 socks, how many different outfits could he choose?A. 192B. 672C. 6,720D. 10,000

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There are 20 people who work in an office together. Four of these people are selected to attend four different conferences. The first person selected will go to a conference in New York, the second will go to Chicago, the third to San Franciso, and the fourth to Miami. How many such selections are possible?A. 116280B. 4845C. 80D. Not enough information

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10 people wait in line for a movie. How many different ways can the line be arranged?A. 3,628,800B. 1C. 100D. 1,000

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If, A={1, 2, 3, 4} B={4, 5, 6, 7}

what is A. {4}B. {1, 2, 3, 4, 5, 6, 7}C. {5, 6, 7}D. {1, 2, 3, 4, 5, 6, 7, 8}

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There are 10 different cereals at the grocery store. How many different ways can you choose 3 boxes of cereal (you cannot pick two of the same type)?A. 30B. 120C. 720D. 100

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If,A={1} B={2, 3, 4} C={10, 12}What is ? A. {1, 2, 3, 4, 10, 12}B. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}C. Empty setD. {10, 12}

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A certain bank issues 4-digit identification codes to its customers using numbers 0, 1, 2, ..., 9. How many different codes are possible?A. 40B. 100C. 1000D. 10,000

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A 7-card hand is chosen from a standard 52-card deck. How many of these will have four spades and three hearts (remember that there are 13 cards of each suit in a deck)?A. 29,446,560B. 1001C. 204,490D. Not enough information

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A jar contains 4 green marbles, 5 red marbles, and 11 white marbles. If one marble is chosen at random, what is the probability that it will be green?A. 1/5B. 1/4C. 20D. 1

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Given that A={1, 2, 3, 4, 5}B={4, 5, 6, 7}C={5, 6, 7, 8}Evaluate A. {1, 2, 3, 4, 5, 6, 7, 8}B. {4, 5}C. {5}D. Empty set

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There are 20 people who work in an office together. Four of these people are selected to go to the same conference together. How many such selections are possible?A. 116280B. 4845C. 80D. Not enough information

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A certain bank issues 3-letter identification codes to its customers. If each letter can be used only once per code, how many different codes are possible?A. 26B. 78C. 15,600D. 326

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What is the probability when you will flip a coin 3 times and get tails all 3 times?A. 1/2B. 3/2C. 1/8D. 1/4

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A 6-sided dice is rolled 3 times. What is the probability that a 5 or more is rolled all 3 times?A. 2/6B. 1/3C. 8/216D. 1/27

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What is the probability that the last 4 numbers of your phone number repeat?A. 10/6561B. 1/1000C. 10/1000D. 1/100

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Bag A contains 4 chips numbered 1, 3, 5 and 7 while bag B contains 3 chips numbered 2, 4 and 6. A chip is drawn from each bag. Find the probability that the sum of the two chips drawn is odd.

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A letter is selected at random from each of the words “SURE” and “WIN”. Find the probability of getting two vowels.

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The probabilities that a robber will hide in places A and B are 0.29 and 0.17 respectively. Find the probability that the robber will hide in place A or place B.

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In a 100-metre race, the probabilities that Alex and James will break the national record are 0.1 and 0.16 respectively. Find the probability that the record will be broken by both.

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A box of 12 bulbs contains 3 faulty ones. Two bulbs are taken out at random. Find the probability that one bulb is good and the other is faulty.

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A bag contains 7 cards numbered 1 to 7. Two cards are drawn at random. Find the probability that the product of the two numbers is odd.

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What is meant by p≤0.05? A. That participants had an average score of 0.05B. The probability of results occuring by chance is

equal to or less that 0.05C. There is a 0.05 chance that the results are wrong

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What is meant by a Type 1 error?A. Rejecting a null hypothesis that is trueB. Retaining a null hypothesis that is falseC. Inputting your data inaccurately in a statistical test

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Which type of inferential statistical test is suitable for correlational data?A. Mann WhiteneyB. Spearmans RhoC. Chi-Squared

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A psychology student has conducted a Mann Whitney test on his data. The results show that the observed value is less than the critical value. What should this student do?A. Accept the null hypothesis and reject the

experimental hypothesisB. Reject the null hypothesis and accept the

experimental hypothesisC. Re-write the hypothesis

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Which of the following is a null hypothesis?A. There will be a difference between the length

of time taken to complete a test online and the time taken to complete a test on paper.B. Tests completed online will be completed faster than tests completed on paper.C. There will be no difference between the length of time taken to complete tests online and tests completed on paper, and if there is it is due to chance.

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In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If a student is chosen at random, what is the probability of choosing a girl or an A student?A. 19/30B. 11/15C. 17/180D. None of the above

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The duration of a heart operation is a normally distributed random variable with mean 170 minutes and standard deviation 14 minutes. What percentage of operations last between 142-198 minutes?A. 68%B. 95%C. 99%D. 100%

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Experimental probability:A. Compares favorable outcomes to unfavorable outcomes.B. Demonstrates the number of times that an event actually occurred.C. Becomes less accurate the more that the experiment is repeated

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What are the odds that you choose the letter m from the word mathematics?A. 2:11B. 1:2C. 2:9D. 1:11

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Theoretical probability:A. Is based on mathematical rules or expectationsB. Is the result of an experiment.C. Is less accurate than than "odds"

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Theoretical probability:A. Is based on mathematical rules or expectationsB. Is the result of an experiment.C. Is less accurate than than "odds"

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"Odds" are defined as: A. Favorable outcomes to unfavorable outcomesB. Favorable outcomes to total outcomesC. Total outcomes to favorable outcomesD. Unfavorable outcomes to favorable outcomes

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