Need help with next question to this problem. Using the information in part b, calculate the p-wave and use it to test Ho versus Ha at each of a=0.10, 0.5, 0.01, 0.001. Please show work so I'll understand how you arrived at the answer. Please and thank you.

MGMT Case Study 4 - Word REFERENCES MAILINGS REVIEW VIEW Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-box wishes to use the random sample of 65 satisfaction ratings to provide evidence supporting the claim that the mean composite satisfaction rating for the XYZ-Box exceeds 42. a. Letting u represent the mean composite satisfaction rating for the XYZ-Box, set up the null hypothesis Ho and the alternative hypothesis Ha needed if we wish to attempt to provide evidence supporting the claim that u exceeds 42. Ho: mu = 42, Ha: mu > 42 b. The random sample of 65 satisfaction ratings yields a sample mean of 42.954. Assuming that the population standard deviation equals 2.64, use critical values to test Ho versus Ha at each of a-0.10, 0.05, 0.01, and 0.001. Critical value of z = (sample mean - 42) / (standard deviation / square root of 65) Critical value of z = (42.954 - 42) / (2.64 / 8.0622577483) Critical value of z = 0.954 / 0.3274517 Critical value of z = 2.91340677 If a = 0.10 then the critical value of z = 1.64