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 α=0.05, is there a difference between the means? Use the P-value method and tables X σ n No children 8.9 2.7 35 Children 10.5 2.8 35 State the hypotheses and identify the claim with the correct hypothesis. H0: claim/do not claim? H1: claim/do not claim? This hypothesis test is one tailed/two tailed? Compute the test value. Round all intermediate steps to four decimal places and always round z score values to tow decimal places. z= Compute the P-value. Round the answer to four decimal places. P -value = Make the decision. Reject/do not reject the null hypothesis. 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.
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 α=0.05, is there a difference between the means? Use the P-value method and tables
X
|
σ
|
n
|
|
---|---|---|---|
No children |
8.9
|
2.7
|
35
|
Children |
10.5
|
2.8
|
35
|
State the hypotheses and identify the claim with the correct hypothesis.
H0: claim/do not claim?
H1: claim/do not claim?
This hypothesis test is one tailed/two tailed?
Compute the test value. Round all intermediate steps to four decimal places and always round z score values to tow decimal places.
z=
Compute the P-value. Round the answer to four decimal places.
P -value =
Make the decision.
Reject/do not reject the null hypothesis.
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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