If a random sample of 16 homes south of Center Street in Provohas a mean selling price of $145,450 and a standard deviation of$4525, and a random sample of 28 homes north of Center Street has amean selling price of $148,900 and a standard deviation of $5625,can you conclude that there is a significant difference between theselling price of homes in these two areas of Provo at the 0.05level? Assume normality. (a) Find t. (Give your answer correct totwo decimal places.)
(ii) Find the p-value. (Give your answer correct to four decimalplaces.)
(b) State the appropriate conclusion.
Reject the null hypothesis, there is not significant evidence ofa difference in means.
Reject the null hypothesis, there is significant evidence of adifference in means.
Fail to reject the null hypothesis, there is significantevidence of a difference in means.
Fail to reject the null hypothesis, there is not significantevidence of a difference in means.
