Exercise 18. Consider the following data: 89.4 77.5 98.9 93.7 67.9 91.5 49.2 61.1 70.0 62.5. a) Assuming the data are normally distributed, find a 95%-confidence interval for the mean . b) Assume that we have somehow learned that the above sample comes from a normal distri- bution with variance o2 = 172, how should we adjust the confidence interval to incorporate this extra information?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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Exercise 18. Consider the following data:
89.4 77.5 98.9 93.7 67.9 91.5 49.2 61.1 70.0 62.5.
a) Assuming the data are normally distributed, find a 95%-confidence interval for the mean .
b) Assume that we have somehow learned that the above sample comes from a normal distri-
bution with variance o2 = 172, how should we adjust the confidence interval to incorporate
this extra information?
Transcribed Image Text:Exercise 18. Consider the following data: 89.4 77.5 98.9 93.7 67.9 91.5 49.2 61.1 70.0 62.5. a) Assuming the data are normally distributed, find a 95%-confidence interval for the mean . b) Assume that we have somehow learned that the above sample comes from a normal distri- bution with variance o2 = 172, how should we adjust the confidence interval to incorporate this extra information?
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