If a random sample of 17 homes south of a town has a mean selling price of $145,325 and a standard deviation of $4600, and a random sample of 22 homes north of a town has a mean selling price of $148,450 and a standard deviation of $5950, can you conclude that there is a significant difference between the selling price of homes in these two areas of the town at the 0.05 level? Assume normality. (a) Find t. (Round your answer to two decimal places.) (ii) Find the p-value. (Round your answer to four decimal places.)

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If a random sample of 17 homes south of a town has a mean selling price of
$145,325 and a standard deviation of $4600, and a random sample of 22
homes north of a town has a mean selling price of $148,450 and a standard
deviation of $5950, can you conclude that there is a significant difference
between the selling price of homes in these two areas of the town at the
0.05 level? Assume normality.
(a) Find t. (Round your answer to two decimal places.)
(ii) Find the p-value. (Round your answer to four decimal places.)
(b) State the appropriate conclusion.
O Reject the null hypothesis. There is significant evidence of a
difference in means.
O 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.
O Reject the null hypothesis. There is not significant evidence of a
difference in means.
Transcribed Image Text:If a random sample of 17 homes south of a town has a mean selling price of $145,325 and a standard deviation of $4600, and a random sample of 22 homes north of a town has a mean selling price of $148,450 and a standard deviation of $5950, can you conclude that there is a significant difference between the selling price of homes in these two areas of the town at the 0.05 level? Assume normality. (a) Find t. (Round your answer to two decimal places.) (ii) Find the p-value. (Round your answer to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis. There is significant evidence of a difference in means. O 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. O Reject the null hypothesis. There is not significant evidence of a difference in means.
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