Question

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 for the mean number of families with no children. At , is there a difference between the means? Use the critical value method and tables. No children - xbar=8.7, standard. deviation= 2.8 n= 35 Children- xbar= 10.5, standard deviation= 2.7, n=35

State the hypotheses and identify the claim.

H0 : ▼(Choose one) H1 : ▼(Choose one) This hypothesis test is a ▼(Choose one) 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):

Answer 1

This hypothesis is a two-tailed test.

This hypothesis test is two sample means independent t-test.

We want to find 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.

u1 = mean number of hours per week that a family with no children participates in recreational activities

u2 = mean number of hours per week that a family with children participates in recreational activities.

we want to test there is any difference.

is that they are equal or not.

Critical values are 1.995, -1.995.

We may conclude that the data provide sufficient evidence to support the claim that the 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.