Question

# f a random sample of 16 homes south of Center Street in Provo has a mean...

f a random sample of 16 homes south of Center Street in Provo has a mean selling price of \$145,475 and a standard deviation of \$4800, and a random sample of 15 homes north of Center Street has a mean selling price of \$148,350 and a standard deviation of \$5975, can you conclude that there is a significant difference between the selling price of homes in these two areas of Provo at the 0.05 level? Assume normality.

(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.Reject the null hypothesis, there is not significant evidence of a difference in means.Reject the null hypothesis, there is significant evidence of a difference in means.    Fail to reject the null hypothesis, there is significant evidence of a difference in means.Fail to reject the null hypothesis, there is not significant evidence of a difference in means.

Here our two hypotheses are

vs

Where are population mean price for South of Center street and North of center Street.

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