Recreational Time A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use μ1 for the mean number of families with no children. At =α0.01, is there a difference between the means? Use the critical value method and tables. X σ n No children 8.7 2.8 35 Children 10.5 2.7 35 (a) State the hypotheses and identify the claim. H0: claim/ do not claim H1: claim/not claim This hypothesis test is a one tailed/two-tailed test. (b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): (c) Compute the test value. Always round z score values to at least two decimal places. z= (d) Make the decision. Reject/ do not reject the null hypothesis. (e) Summarize the results. There is/ is not enough evidence to support the claim that the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities are different.

Name: Recreational Time A researcher wishes to see if there is a difference
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Description: Recreational Time A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Recreational Time A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use μ1 for the mean number of families with no children. At =α0.01, is there a difference between the means? Use the critical value method and tables.

	X	σ	n
No children	8.7	2.8	35
Children	10.5	2.7	35

(a) State the hypotheses and identify the claim.

H0: claim/ do not claim

H1: claim/not claim

This hypothesis test is a one tailed/two-tailed test.

(b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas.

Critical value(s):

(d) Make the decision.

Reject/ do not reject the null hypothesis.

(e) Summarize the results.

There is/ is not enough evidence to support the claim that the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities are different.

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