I need help solving these problems

Ex 1. 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. b. The random sample of 65 satisfaction ratings yields a sample mean of * =42.954 . Assuming hat o equals 2.64, use critical values to test Ho versus Ha at each of a. 10, .05, .01, and .001. Ex 2. National Motors has equipped the ZX-900 with a new disk brake system. We define u to be the mean stopping distance (from a speed of 35 mph) of all ZX-900s. National Motors would like to claim that the ZX-900 achieves a shorter mean stopping distance than the 60 ft claimed by a competitor. a. Set up the null and alternative hypotheses needed to support National Motors' claim. b. A television network will allow National Motors to advertise its claim if the appropriate null hypothesis can be rejected at a = .05. If a random sample of 81 ZX-900s have a mean stopping distance of * = 57.8 ft, will National Motors be allowed to advertise the claim? Assume that o = 6.02 ft and justify your answer using a critical value approach. Ex 3. The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles of the popular Crown Classic Cola soft drink. Both overfilling and underfilling bottles are undesirable: Underfilling leads to customer complaints and overfilling costs the company considerable money. In order to verify that the filler is set up correctly, the company wishes to see whether the mean bottle fill, u, is close to the target fill of 16 ounces. To this end, a random sample of 36 filled bottles is selected from the output of a test filler run. If the sample results cast a substantial amount of doubt on the hypothesis that the mean bottle fill is the desired 16 ounces, then the filler's initial setup will be readjusted. a. The bottling company wants to set up a hypothesis test so that the filler will be readjusted if the null hypothesis is rejected. Set up the null and alternative hypotheses for this hypothesis test. b. Suppose that Crown Bottling Company decides to use a level of significance of a = .01, and suppose a random sample of 36 bottle fills is obtained from a test run of the filler. For each of the following four sample means- * =16.05 , x =15.96 , x =16.02 and * =15.94 -determine whether the filler's initial setup should be readjusted. In each case, use a critical value approach to test the hypothesis. Assume that o equals 1