A body mass index of more than 25 is considered unhealthful. The technology output given is from 50 randomly and independently selected people from a health agency's study. Test the hypothesis that the mean BMI is more than 25 using a significance level of 0.05. Assume that conditions are met. One-Sample T Test of µ = 25 vs > 25 N Mean 50 27.143 A. Ho: μ< 25 Ha:μ ≥25 StDev 6.339 D. Ho: μ#25 H₂:μ = 25 SE Mean 0.896 Determine the null and alternative hypotheses. Choose the correct answer below. B. H₂:μ = 25 Ha:μ>25 T 2.39 E. Ho: μ = 25 Ha: μ#25 P 0.010 The test statistic is 2.39. (Type an integer or decimal rounded to two decimal places as needed.) The p-value is (Type an integer or decimal rounded to three decimal places as needed.) C. Ho: μ = 25 Ha: μ<25 F. Ho: μ> 25 Ha:μ≤25

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A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of 115 homeowners selected from this area showed that they pay an average of $1577 per month for their mortgages. The population standard deviation of such mortgages is $208.Find a 97% confidence interval for the mean amount of mortgage paid per month by all homeowners in this area.Round your answers to two decimal places.