A developer collects a random sample of the ages of houses from two neighborhood

Question

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 Neighborhood 1 Neighborhood 2 n1 40 1 56.5 1-7.72 n2 35 y2-46.4 82-7.89 t-5.58 a) Calculate the P-value of the statistic given that the approximation formula for degrees of freedom gives df 71.2 The P-value is (Round to four decimal places as needed.) b) Calculate the P-value of the statistic using the rule that df min(n1-1, n2-1) The P-value is Round to four decimal places as needed.)

Explanation / Answer

a)

her for 71 df and above test statisic p value =0.0000

b)

here for (40-1,35-1)=34 df and above test statisic p value = 0.0000

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