This question: 1 point(s) possible Submit quiz Suppose the average size of a new house built...

Transcribed Image Text:

This question: 1 point(s) possible Submit quiz Suppose the average size of a new house built in a certain county in 2006 was 2,274 square feet. A random sample of 16 new homes built in this county was selected in 2010. The average square footage was 2,199, with a sample standard deviation of 224 square feet. a. Using a = 0.01, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since 2006? b. Use technology to determine the p-value for this test. a. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: =2,274 and H: >2,274 B. Ho: 22,274 and H: <2,274 OC. Ho: 2,274 and H: u=2,274 OD. Ho=2,274 and H: *2,274 Determine the critical value(s). The critical value(s) is (are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct answer below. OA. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006. B. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006. C. Reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006. OD. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2008. b. Use technology to determine the p-value for this test. What is the p-value? p-value= (Round to three decimal places as needed.) This question: 1 point(s) possible Submit quiz Suppose the average size of a new house built in a certain county in 2006 was 2,274 square feet. A random sample of 16 new homes built in this county was selected in 2010. The average square footage was 2,199, with a sample standard deviation of 224 square feet. a. Using a = 0.01, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since 2006? b. Use technology to determine the p-value for this test. a. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: =2,274 and H: >2,274 B. Ho: 22,274 and H: <2,274 OC. Ho: 2,274 and H: u=2,274 OD. Ho=2,274 and H: *2,274 Determine the critical value(s). The critical value(s) is (are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct answer below. OA. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006. B. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006. C. Reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006. OD. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2008. b. Use technology to determine the p-value for this test. What is the p-value? p-value= (Round to three decimal places as needed.)