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 69 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 He and the alternative hypothesis wa needed if we wish to attempt to provide evidence supporting the claim that u exceeds 42. HOW 42 versus Hau (b) The random sample of 69 satisfaction ratings yields a sample mean of F = 42.820. Assuming that o equals 2.61, use critical values to test He versus Ha at each of a = 10.05, 01, and 001. (Round your answer zos to 3 decimal places and other 2-scores to 2 decimal places.) Z rices Rejection Points 2.10 2.05 2:01 2.001 Reject HO with a = but not with a (c) Using the information in part (b), calculate the p-value and use it to test Ho versus Ha at each of a -10.05.01, and .001. (Round your answers to 4 decimal places.) p-value Since p-value is less than roject HO at those levels of a but not with a (d) How much evidence is there that the mean composite satisfaction rating exceeds 42? ices There is evidence