It is reported that Americans stayed an average of 6.5 nights when they went on vacation. A student conducted a survey and obtained the following number of nights his classmates stayed on their vacations: 7 6 6 5 8 6 (a) Construct a 90% confidence interval for the average nights American stayed when they went on vacation. Assume normal population. (b) Based on the confidence interval in (a), can we conclude that Americans stayed an average of 6.5 nights when they went on vacation? Why?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Please answer using classical approach, not p-value approach

It is reported that Americans stayed an average of 6.5 nights when they went on vacation.
A student conducted a survey and obtained the following number of nights his classmates
stayed on their vacations:
766 5 8 6
(a) Construct a 90% confidence interval for the average nights American stayed when they
went on vacation. Assume normal population.
(b) Based on the confidence interval in (a), can we conclude that Americans stayed an
average of 6.5 nights when they went on vacation? Why?
Transcribed Image Text:It is reported that Americans stayed an average of 6.5 nights when they went on vacation. A student conducted a survey and obtained the following number of nights his classmates stayed on their vacations: 766 5 8 6 (a) Construct a 90% confidence interval for the average nights American stayed when they went on vacation. Assume normal population. (b) Based on the confidence interval in (a), can we conclude that Americans stayed an average of 6.5 nights when they went on vacation? Why?
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