(Please provide a breakdown and describe/show step by step details on how you arrived the answers so I can learn - thanks)

QUESTION: HGTV Real Estate surveyed prices per square foot in the valley and foothills of Tennessee, NC. Based on HGTV's DATA (see below - columns, "Valleys" and "Foothills"), are prices per square foot equal at 0.01?

(Note: Is this paired data (2 measurements dependent on the unit of observation), or data

from 2 independent populations? )

A) The critical value is 2.977 since this is a two-tail scenario. The test statistic is 1.513. Since the test statistic < the critical value, the test statistic does not lie in the area of rejection. Do not reject the null hypothesis. The prices per square foot are equal at alpha = 0.01

B) The critical value is 2.977 since this is a two-tail scenario. The test statistic is 1.936. Since the test statistic < the critical value, the test statistic does not lie in the area of rejection. Do not reject the null hypothesis. The prices per square foot are equal at alpha = 0.01

C) The critical value is 2.977 since this is a two-tail scenario. The test statistic is 2.239. Since the test statistic < the critical value, the test statistic does not lie in the area of rejection. Do not reject the null hypothesis. The prices per square foot are equal at alpha = 0.01

D) The critical value is 2.977 since this is a two-tail scenario. The test statistic is 3.207. Since the test statistic > the critical value, the test statistic does lie in the area of rejection. Reject the null hypothesis. The prices per square foot are not equal alpha = 0.01

DATA:

Valley Foothills

109 82

116 161

106 163

157 112

147 222

105 137

173 226

153 200

137 154

110 176