15. Professor Sigma randomly selects a sample of five test scores from her history class. They are:65 82 73 4788a) Find the mean.Add allImcan = 284.6= 284.%3Db) 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, µ = answer to part (a), and o = answer to part (b).

Let X denote the test scores from the history class. The z score is defined as Z = (X - mean)/SD…

a) Find the mean. Add all %3D 284.6 Imean=284.6 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.

a) Find the mean. Add all %3D 284.6 Imean=284.6 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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.
Add all
Imcan = 284.6
= 284.
%3D
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, µ = answer to part (a), and o = answer to part (b).

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