1)Determine the test statistic the a size of a new house built in a certain coun
ID: 3368094 • Letter: 1
Question
1)Determine the test statistic the a size of a new house built in a certain county in 2006 was 2,274 square feet. A random sample of 30 new homes built in this county was selected in 2010. The average square footage was 2,199, with a sample standard deviation of 222 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 a. Determine the null and alternative hypotheses. Choose the correct answer below A. lo B. O C. @fD. Ho. ?22,274 and H1?? 2.274 Ho u#2274 and H,: H-2274 Ho: ?-2,274 and H1:?#2.274 Determine the cntical value(s) The critical value(s) is/are) Round to three decimal places as needed. Use a comma to separate answers as needed)Explanation / Answer
degree of freedom=30-1=29
alpha=0.1
we use t score to calculate critical value as we dont know population standard deviation here.
critical values are -1.6991 , +1.6991 by using T.INV.2T(0.1,29)
rounded to three decimal place
-1.699,+1.699
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