It is estimated that the average downtime for computer systems at businesses across the country is 175 hours a year (source: networkworld.com). In a sample of 50 companies located outside major metropolitan areas, the average downtime was 192 hours. Given the following hypotheses, H0: μ = 175 (The average downtime for companies outside major metropolitan areas is the same as the national average.) Ha: μ ≠ 175 (The average downtime for companies outside major metropolitan areas is not the same as the national average.)
a. Compute the p value for the sample result in this two tailed test. Assume the population standard deviation is 43 hours.
b. If the significance level is 5%, can the null hypothesis be rejected? Explain.