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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. Neighborhood 1 Neighborhood 2 n₁=40 n₂=35 y₁ = 52.4 Y₂ = 43.7 $₁ = 7.72 $₂=7.64 a) Calculate the P-value of the statistic given that the approximation formula for degrees of freedom gives df=71.9. 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). The P-value is (Round to three decimal places as needed.) t=4.89 Ho for both cases. There houses is the same in the two neighborhoods. c) What do you conclude at a=0.10, if the null hypothesis H 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

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 n₂=35 y₁ = 52.4 Y₂ = 43.7 $₁ = 7.72 $₂=7.64 a) Calculate the P-value of the statistic given that the approximation formula for degrees of freedom gives df=71.9. 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). The P-value is (Round to three decimal places as needed.) t=4.89 Ho for both cases. There houses is the same in the two neighborhoods. c) What do you conclude at a=0.10, if the null hypothesis H 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 6SGR
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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. Neighborhood 1 Neighborhood 2 n₁ = 40 n₂=35 The P-value is (Round to three decimal places as needed.) Y₁ = 52.4 $₁ = 7.72 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). a) Calculate the P-value of the statistic given that the approximation formula for degrees of freedom gives df = 71.9. Ho for both cases. There houses is the same in the two neighborhoods. Y₂ = 43.7 $₂ = 7.64 t = 4.89 0 c) What do you conclude at x = 0.10, if the null hypothesis H, is that the mean ages of houses in the two neighborhoods are equal and the alternative hypothesis H is that they are not equal? sufficient evidence to reject the claim that the mean age of
Transcribed Image Text: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 n₂=35 The P-value is (Round to three decimal places as needed.) Y₁ = 52.4 $₁ = 7.72 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). a) Calculate the P-value of the statistic given that the approximation formula for degrees of freedom gives df = 71.9. Ho for both cases. There houses is the same in the two neighborhoods. Y₂ = 43.7 $₂ = 7.64 t = 4.89 0 c) What do you conclude at x = 0.10, if the null hypothesis H, is that the mean ages of houses in the two neighborhoods are equal and the alternative hypothesis H is that they are not equal? sufficient evidence to reject the claim that the mean age of
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