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 =α0.10, is there a difference between the means? Use the critical value method and tables. State the hypotheses and identify the claim.  H0: Claim or not a claim   H1: Claim or not a claim One-tailed or Two-tailed? Critical Value: Round to at least 3 decimal places. Test Value: z= Round to at least 3 decimal places. Make the decision Summarize       X σ n No children 8.9 2.8 20 Children 10.3 2.8 20

A First Course in Probability (10th Edition)
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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 =α0.10, is there a difference between the means? Use the critical value method and tables.

State the hypotheses and identify the claim.  H0: Claim or not a claim   H1: Claim or not a claim

One-tailed or Two-tailed?

Critical Value: Round to at least 3 decimal places.

Test Value: z= Round to at least 3 decimal places.

Make the decision

Summarize

 

 

 
X
σ
n
No children
8.9
2.8
20
Children
10.3
2.8
20
Expert Solution
Step 1: Given

sample mean 1 =stack X subscript 1 with bar on top=8.9

population standard deviation = sigma subscript 1 = 2.8 

sample size 1= n1=20


sample mean 2 = stack X subscript 2 with bar on top=10.3

population standard deviation = sigma subscript 2 = 2.8

sample size 2= n2=20


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