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...



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.





Jun 03, 2022
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