15. Professor Sigma randomly selects a sample of five test scores from her history class. They are: 65 82 73 47 88 a) Find the mean. b) Find the standard deviation. Remember that it's a sample. Round to the nearest whole number. c) The student who got the 47 is named Bob. Compute poor Bob's z-score.

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15. Professor Sigma randomly selects a sample of five test scores from her history class. They are:
65 82 73 47 88
a) Find the mean.
b) Find the standard deviation. Remember that it's a sample. Round to the nearest whole number.
c) The student who got the 47 is named Bob. Compute poor Bob's z-score.
d) Since this is just a sample, there are other students in the class not represented here. For example,
Bob's friend Amy earned a z-score of +1.75. Interpret this number: did she do better than average,
roughly average, or worse than average on the test?
e) Determine Amy's test score by using z = 1.75, u = answer to part (a), and a = answer to part (b).
Transcribed Image Text:15. Professor Sigma randomly selects a sample of five test scores from her history class. They are: 65 82 73 47 88 a) Find the mean. b) Find the standard deviation. Remember that it's a sample. Round to the nearest whole number. c) The student who got the 47 is named Bob. Compute poor Bob's z-score. d) Since this is just a sample, there are other students in the class not represented here. For example, Bob's friend Amy earned a z-score of +1.75. Interpret this number: did she do better than average, roughly average, or worse than average on the test? e) Determine Amy's test score by using z = 1.75, u = answer to part (a), and a = answer to part (b).
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