It is reported that the average American eats out at a restaurant 5.9 times per week. A random sample of 40 Americans showed that the average amount of times they ate out at a restaurant per week was 5.1 times with a standard deviation of 1.7.  Is there enough evidence at the 5% level that the average American eats out less than 5.9 times per week? What is the conclusion?: a) We do not reject Ho. There is not statistically significant evidence to reject Ho. We conclude the average amount of times Americans eat out at a restaurant per week is more than 5.9. b) We reject Ho. There is statistically significant evidence to reject Ho. We conclude the average amount of times Americans eat out at a restaurant per week is less than 5.9. c) We do not reject Ho. There is not statistically significant evidence to reject Ho. We conclude the average amount of times Americans eat out at a restaurant per week is not less than 5.9. d) We reject Ho. There is statistically significant evidence to reject Ho. We conclude the average amount of times Americans eat out at a restaurant per week is less than 5.1.

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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It is reported that the average American eats out at a restaurant 5.9 times per week. A random sample of 40 Americans showed that the average amount of times they ate out at a restaurant per week was 5.1 times with a standard deviation of 1.7.  Is there enough evidence at the 5% level that the average American eats out less than 5.9 times per week?

What is the conclusion?:

a) We do not reject Ho. There is not statistically significant evidence to reject Ho. We conclude the average amount of times Americans eat out at a restaurant per week is more than 5.9.

b) We reject Ho. There is statistically significant evidence to reject Ho. We conclude the average amount of times Americans eat out at a restaurant per week is less than 5.9.

c) We do not reject Ho. There is not statistically significant evidence to reject Ho. We conclude the average amount of times Americans eat out at a restaurant per week is not less than 5.9.

d) We reject Ho. There is statistically significant evidence to reject Ho. We conclude the average amount of times Americans eat out at a restaurant per week is less than 5.1.

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