The test statistic is The p-value is Should the null hypothesis be rejected?

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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In a sample of 351 gamers between the ages of 16-25, the mean number of hours spent gaming per week was 42.5
hours. In a sample of 269 gamers between the ages of 26-40, the mean number of hours spent gaming per week was
43.8 hours. If the population standard deviation for the mean number of hours spent gaming per week is 9.5 for the age
group 16-25 and 10.7 for the age group 26-40, test the claim that gamers between the ages of 16-25 spend less time
gaming per week than gamers between the ages of 26-40. Assume a = 0.03.
Let population 1 be gamers in the age group 16-25 and population 2 be gamers in the age group 26-40.
Round the test statistic to two decimal places, and round the p-value to four decimal places.
The test statistic is
The p-value is
Should the null hypothesis be rejected?
[Type "yes" if it should be rejected and "no" if it should not be rejected.]
Transcribed Image Text:In a sample of 351 gamers between the ages of 16-25, the mean number of hours spent gaming per week was 42.5 hours. In a sample of 269 gamers between the ages of 26-40, the mean number of hours spent gaming per week was 43.8 hours. If the population standard deviation for the mean number of hours spent gaming per week is 9.5 for the age group 16-25 and 10.7 for the age group 26-40, test the claim that gamers between the ages of 16-25 spend less time gaming per week than gamers between the ages of 26-40. Assume a = 0.03. Let population 1 be gamers in the age group 16-25 and population 2 be gamers in the age group 26-40. Round the test statistic to two decimal places, and round the p-value to four decimal places. The test statistic is The p-value is Should the null hypothesis be rejected? [Type "yes" if it should be rejected and "no" if it should not be rejected.]
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