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
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
|
sample mean 1 ==8.9
population standard deviation = = 2.8
sample size 1= n1=20
sample mean 2 = =10.3
population standard deviation = = 2.8
sample size 2= n2=20
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