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The average age of an adult's first vacation without a parent or guardian was reported to be 23 years old. A travel agent believes that the average age is different than reported. They sample 27 adults and they were asked their age in years when they first vacationed as an adult without a parent or guardian, data shown below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places.

The average age of an adult's first vacation without a parent or guardian was reported to be 23 years old. A travel agent believes that the average age is different than reported. They sample 27 adults and they were asked their age in years when they first vacationed as an adult without a parent or guardian, data shown below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The average age of an adult's first vacation without a parent or guardian was reported to be 23 years old. A travel agent believes that the average age is different than reported. They sample 27 adults and they were asked their age in years when they first vacationed as an adult without a parent or guardian, data shown below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Age 24 28 23 28 25 27 24 18 23 21 22 26 26 19 24 25 24 25 27 24 21 21 21 22 22 21 22 What are the correct hypotheses? Но: е years H1: @ |years Based on the hypotheses, find the following: Test Statistic = p-value Based on the above we choose to (Fail to reject the null hypothesis The correct summary would be: (There is enough evidence to reject the claim that the average age of an adult's first vacation without a parent or guardian is not 23 years old.
Transcribed Image Text:The average age of an adult's first vacation without a parent or guardian was reported to be 23 years old. A travel agent believes that the average age is different than reported. They sample 27 adults and they were asked their age in years when they first vacationed as an adult without a parent or guardian, data shown below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Age 24 28 23 28 25 27 24 18 23 21 22 26 26 19 24 25 24 25 27 24 21 21 21 22 22 21 22 What are the correct hypotheses? Но: е years H1: @ |years Based on the hypotheses, find the following: Test Statistic = p-value Based on the above we choose to (Fail to reject the null hypothesis The correct summary would be: (There is enough evidence to reject the claim that the average age of an adult's first vacation without a parent or guardian is not 23 years old.
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