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Mortagage rate following are interest rates ( annual percentage rates) for a 30 year rate mortage from a sample of lender in Macon Georgia on

Mortagage rate following are interest rates ( annual percentage rates) for a 30 year rate mortage from a sample of lender in Macon Georgia on a recen day. It is reasonable to assume that the population is approximately normal

A) Construct a 99% confidence interval for the mean rate.

B) One week the mean rate was 4.050% A mortgage broker claims that the mean rate is now higher. Based on the confidence interval, is this a reasonable claim. Explaim.

4.750 4.375 4.176 4.679 4.426 4.227
4.125 4.250 3.950 4.191 4.299 4.415

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