Statistics

TV Watching: The average number of hours of television watched per week by women over age 55 is 48 and 43 hours for men over 55. Random samples of 40 men and 40 women from a large retirement community yielded the following data. Women Men Sample size Sample mean 48.2 hrs 44.3 hrs Population stand. dev 5.6 hrs 4.5 Question: At 1% level of significance, can it be concluded that the difference in the mean television viewing time for women and men is greater than 4 hours? Let: 1- mean television viewing time in hours for women and pa - mean viewing time In hours for men. Perform the hypothesis test, using the 5-step process: a) State Ho and H1 in symbols only. Identify which hypothesis is the claim and determine the type of test (right-tall, left-toil, two tail). b) Determine the critical value and label it. (For example, z - 1.96 ort - -2.421, etc). c) Compute the test value. If you are using the p-value method, then compute the test value and the p-value of the test. d) Make the decision to Reject Ho or Do not reject Ho. e) State your complete conclusion in the context of the claim