ST 201-A producer of ready-made pumpkin pies sells their
A producer of ready-made pumpkin pies sells their pie by the ounce. The pie should weight approximately 24 ounces. For quality assurance they weigh a random sample of 20 pies from each batch to see whether there is evidence the average weight of the batch of pies is different than 24 ounces. If there is evidence they will need to price the whole batch of pies at a discount and investigate their pie making procedures. From one batch the average weight of the sampled pies is 23.3 ounces with a sample standard deviation of 1.4 ounces. They assume the population of pie weights is normally distributed. Use a significance level of 0.05 to answer the following question of interest.State: Is there evidence the true average weight of the pumpkin pies is different than 24 ounces? Plan: a. (2 points) State the null and alternative hypotheses to answer the question of interest.b. (2 points) What type of test is appropriate to answer the question of interest and why?c. (1 point) State the level of significance.Solve: d. (4 points) Calculate the test statistic. n = __________e. (1 point) What is the p-value for the test? Is it one or two sided?f. (3 points) Calculate a 95% confidence interval for µ.Conclude:g. (4 points) Interpret the results from the hypothesis test and confidence interval in the context of the problem. Use the four step process described at the beginning of the activity to write a conclusion.
