Suppose the average size of a new house built in a certain county in 2006 was 2,

Question

Suppose the average size of a new house built in a certain county in 2006 was 2,265 square feet. A random sample of 20 new homes built in this county was selected in 2010. The average square footage was 2,188, with a sample standard deviation of 226 square feet. a. Using ?-0.10, 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. y D. Ho: ?-2265 and H1:?#2265 Determine the critical value(s) The critical value(s) is(are 1.729,1.729 Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t 1.52 (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct answer below. A. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006. O 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. O D. Reject the null hypothesis. The data do not provide sufficent evidence to conclude that the average house size has changed since 2006 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.)

Explanation / Answer

b) P value = P(t<-1.52)+P(t>1.52)

Us excel function

2*(1-T.DIST(1.52,20-1,TRUE))

= 0.145

So, answer is 0.145

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