Real Estate surveyed prices per square foot in the valley and foothills of Hoke. Based on the data, are prices per square foot equal at alpha = 0.01?

a. The critical value is 2.977 since this is a two-tail scenario. The test statistic is 1.936. Since the test statistic < critical value, the test statistic does not lie in the area of rejection. Do not reject the null hypothesis. The prices per sq 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 1.513. Since the test statistic < critical value, the test statistic does not lie in the area of rejection. Do not reject the null hypothesis. The prices per sq 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 3.207. Since the test statistic > critical value, the test statistic does lie in the area of rejection. Reject the null hypothesis. The prices per sq foot are not equal at alpha = 0.01.

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