1. Suppose the weight of McDonald's quarter pounder patties arenormally distributed with a standard deviation of?=0.022. You collect a sample of 16 quarter pounders and finda sample mean of 0.24 LBs.

   1. a) Carry out the appropriate hypothesis test at ? = 0.05to decide if we have evidence that the

      mean weight is actually less than a quarter pound. Please showall steps.

   2. b) Find the largest significance level at which thishypothesis testing procedure does not reject H0.

      (to two decimal places)

   3. c) Suppose the actual mean weight of quarter pounders are0.245 LBs. What is the power of this

      test with your current sample size of 16?

   4. d) To achieve a power of at least 0.9 with this test ofalternative mean ?a = 0.245, what sample size

      would you need to use?