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MATH 120: Introduction to Statistics Lime Spring Week 8 Final Exam
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MATH 120: Introduction to Statistics Lime Spring Week 8 Final Exam
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MATH 120 WEEK 8 FINAL EXAM 2023-2024 (AMU) r r r r r r rrEXAM VERSION 1 SPRING-FALL TERM
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1. 10 students take an exam and earn the following scores: 86, 96, 90, 92, 79, 94, 86, 74, 82, and 91
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What is the mean of the scores?
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A: 87. r
2. 10 students take an exam and earn the following scores: 86, 96, 90, 92, 79, 94, 86, 74, 82, and 91
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What is the median of the scores?
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A: 88. r
3. 10 students take an exam and earn the following scores: 86, 96, 90, 92, 79, 94, 86, 74, 82, and 91
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What is the mode of the scores?
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A: 86. r
4. While conducting market research, an automobile manufacturer looks at the number of SUVs
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and sedans produced in the prior year. What type of data is this?
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A: Quantitative data.
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5. While conducting market research, an automobile manufacturer asks consumers about their
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preferences between SUVs and sedans. What type of data is this?
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A: Qualitative data.
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6. A political think tank wants to conduct a poll of likely voters in a state. If the think tank breaks
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the state into 20 groups with common characteristics and then randomly samples each group,
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what type of sampling is this?
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A: Stratified sampling.
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7. A research team at a medical device manufacturer wants FDA approval for the manufacturer's
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latest product. The team sets up a study where half of the participants in the study use the
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device and half of the participants in the study do not. When the study is over, the research
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team compares the results of the two groups. Which type of study is this?
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A: Experimental study.
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8. If 10,000 students take a standardized test, which type of graph would be most helpful for
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understanding the data?
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A: A histogram..
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,9. If the graph is displaying the estimated value of homes in an area, approximately what is the
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average home value?
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A: $375K.
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10. Which answer explains why the average home value is above the median home value?
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A: A few outlier home values are skewing the average high.
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11. If there is a 30% chance of rain each of the next two days, what is the probability of rain both
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rdays? (Assume rain is an independent event.)
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A: 9% r
12. If there is a 60% chance of rain each of the next two days, what is the probability that it does not
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rrain on either day? (Assume rain is an independent event.)
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A: 16% r
13. Roulette is a game of chance using a wheel with 38 colored pockets and a ball that randomly
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lands in one of the colored pockets. In the American version of roulette, there are 18 red
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pockets, 18 black pockets, and 2 green pockets. What is the probability that a gambler betting on
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green will win?
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A: 16 r
, 14. If a deck of cards contains 52 cards, divided into 13 clubs, 13 diamonds, 13 hearts, and 13
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rspades, what is the probability of drawing a spade from the deck?
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A: 25% r
15. If a deck of cards contains 52 cards, divided into 13 clubs, 13 diamonds, 13 hearts, and 13
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rspades, what is the probability of drawing two spades in a row from the deck? (Note, cards are
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rnot replaced between draws.)
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A: 5.9% r
16. If a charity raises money from thirty donors, and sixteen of the donors each give \$20, twelve of
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rthe donors each give \$50, and two of the donors each give \$100, what is the weighted average
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rdonation?
A: $37 r
17. If a venture capitalist is considering an investment and she believes there is a 20% chance the
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rinvestment loses \$1M, a 70% chance the investment makes \$1M, and a 10% chance the
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rinvestment makes \$10M, what is the expected value of the investment?
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A: $1.5M r
18. What is the factorial of 4? r r r r r
A: 24
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19. If a bank assigns 8-digit account numbers to all of its customers, how many possible account
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rnumbers are there? (Note that digits can be range from 0 to 9.)
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A: 100,000,000
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20. If a bank assigns 8-digit account numbers to all of its customers, but decides that account
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rnumbers cannot contain the number 0 or start with the number 1, how many possible account
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rnumbers are there? r r
A: 38,263,752
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21. The area under a normal distribution is equal to:
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A: 1.00 r
22. In a normal distribution, what is the relationship between the mean and the median?
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A: They are the same.
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23. If 1 million people take a standardized test and Sarah scores two standard deviations above the
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rmean, what percentile is she? r r r r
A: 97% r
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