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A mortgage specialist would like to analyze the average mortgage rates for Atlanta, Georgia. He collects data on the annual percentage rates (APR in %)
A mortgage specialist would like to analyze the average mortgage rates for Atlanta, Georgia. He collects data on the annual percentage rates (APR in %) for 30-year fixed loans as shown in the following table. If he is willing to assume that these rates are randomly drawn from a normally distributed population, can he conclude that the mean mortgage rate for the population exceeds 4.25%? Test the hypothesis at a 5% level of significance. (You may find it useful to reference the appropriate table: z table or | table Financial Institution APR G Squared Financial 4. 8551 Best Possible Mortgage 4.325 Bersch Financial Group 4. 685 Total Mortgages Services 4.095 Wells Fargo 4.615 Quicken Loans 4.575 Amerisave 4-825 Source: MSN Money.com; data retrieved October 1, 2010. Click here for the Excel Data File a. Select the null and the alternative hypotheses. O HO: W E 4.25; HAD A 4.250 OHI M - 4.25, HAL / M 4.25 b. Calculate the value of the test statistic, (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Answer is complete but not entirely correct. Test statistic 2.27
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