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Suppose the average size of a new house built in a certain county in 2006 was 2,276 square feet. A random sample of 30 new homes built in this county was selected in 2010. The average square footage was 2,191, with a sample standard deviation of 224 square feet. Using a = 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? a. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H= 2,276 and H4: u > 2,276 O B. Ho: H= 2,276 and H,:µ#2,276 OC. Ho: H#2,276 and H,: H = 2,276 O D. Ho: H22,276 and H,: µ<2,276 Determine the critical value(s). The critical value(s) is(are). (Round to three decimal places as needed. Use comma to separate answers as needed.) Determine the test statistic, t.

Suppose the average size of a new house built in a certain county in 2006 was 2,276 square feet. A random sample of 30 new homes built in this county was selected in 2010. The average square footage was 2,191, with a sample standard deviation of 224 square feet. Using a = 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? a. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H= 2,276 and H4: u > 2,276 O B. Ho: H= 2,276 and H,:µ#2,276 OC. Ho: H#2,276 and H,: H = 2,276 O D. Ho: H22,276 and H,: µ<2,276 Determine the critical value(s). The critical value(s) is(are). (Round to three decimal places as needed. Use comma to separate answers as needed.) Determine the test statistic, t.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Suppose the average size of a new house built in a certain county in 2006 was 2,276 square feet. A random sample of 30 new homes built in this county was selected in 2010. The average square footage was 2,191, with a sample standard deviation of 224 square feet. Using a = house size of a new home in the county has changed since 2006? 0.10, does this sample provide enough evidence to conclude that the average a. Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: µ= 2,276 and H,: µ> 2,276 O B. Ho: H= 2,276 and H1: µ#2,276 C. Ho: H+ 2,276 and H,: µ = 2,276 D. Ho: H22,276 and H,: µ<2,276 Determine the critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t;.
Transcribed Image Text:Suppose the average size of a new house built in a certain county in 2006 was 2,276 square feet. A random sample of 30 new homes built in this county was selected in 2010. The average square footage was 2,191, with a sample standard deviation of 224 square feet. Using a = house size of a new home in the county has changed since 2006? 0.10, does this sample provide enough evidence to conclude that the average a. Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: µ= 2,276 and H,: µ> 2,276 O B. Ho: H= 2,276 and H1: µ#2,276 C. Ho: H+ 2,276 and H,: µ = 2,276 D. Ho: H22,276 and H,: µ<2,276 Determine the critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t;.
Determine the test statistic, t. 女=ロ %3D (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct answer below. A. Reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006. B. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006. C. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006. D. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006.
Transcribed Image Text:Determine the test statistic, t. 女=ロ %3D (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct answer below. A. Reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006. B. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006. C. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006. D. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006.
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