Recall that very satisfied customers give the XYZ- Box video game system ...

  

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 μ 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 μ exceeds 42.
 

(b) The random sample of 65 satisfaction ratings yields a sample mean of x̄ = 42.954 . Assuming that o equals 2.64, use critical values to test Ho versus Ha at each of α =.10, .05, .01, and .001.
 

(c) Using the information in part b, calculate the p- value and use it to test Ho versus Ha at each of α =.10, .05, .01, and .001.
 

(d) How much evidence is there that the mean composite satisfaction rating exceeds 42?