Find the 95% confidence interval for population mean.
A college student is doing some research on the cost of one-bedroom apartments in town. He has randomly selected 25 apartments for which the price was published. The average price for these apartments is = $652. He will suppose that price follows roughly a normal distribution. Based on prices from previous years, a real estate agent gives him the information that σ is approximately $55. A 95% confidence interval for µ is found to be 652 ± 21.56 = ($630.44, $673.56). Resolve which of the following statements is true.
A) A test of the hypotheses H0: µ0 = 650 vs. Ha: µ1 < 650 would be rejected at the 0.05 level.
B) A test of the hypotheses H0: µ0 = 650 vs. Ha: µ1 > 650 would be rejected at the 0.05 level.
C) A test of the hypotheses H0: µ0 = 675 vs. Ha: µ1 ≠ 675 would be rejected at the 0.05 level.
D) All the above.