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A developer collects a random sample of the ages of houses from two neighborhoods and finds that the summary statistics for each are as shown. Test the hypothesis that the mean age of houses in the two neighborhoods is the same. Assume that the ages of houses in each neighborhood follow a Normal distribution. Complete parts a through c below. The P-value is (Round to three decimal places as needed.) BOCC Neighborhood 1 Neighborhood 2 0₁-40 ₂=30 Ho for both cases. There same in the two neighborhoods. y₁ = 54.5 $₁ = 7.05 Y₂=43.7 2=7.18 a) Calculate the P-value of the statistic given that the approximation formula for degrees of freedom gives df = 62.0. The P-value is (Round to three decimal places as needed.) b) Calculate the P-value of the statistic using the rule that df = min(n, - 1. n₂-1). t=6.28 c) What do you conclude at a=0.10, if the null hypothesis Ho is that the mean ages of houses in the two neighborhoods are equal and the alternative hypothesis HA is that they are not equal? sufficient evidence to reject the claim that the mean age of houses is the

The P-value is (Round to three decimal places as needed.) c) What do you conclude at a=0.10, if the null hypothesis H, is that the mean ages of houses in the two neighborhood equal and the alternative hypothesis H, is that they are not equal? sufficient evidence to reject the claim that the mean age of houses is the Ho for both cases. There rhoods. Fail to reject Reject

The P-value is (Round to three decimal places as needed.) c) What do you conclude at a=0.10, if the null hypothesis Ho is that the mean ages of houses in the two neighborhoods are equal and the alternative hypothesis HA is that they are not equal? sufficient evidence to reject the claim that the mean age of houses is the Ho for both cases. There same in the two neighborhoods. is is not