g) What type of error, and why, might be being made with the conclusion of this test ? h) A95% confidence interval for the population characteristic of interest is (125.866,128.534). What is the value...

Extracted text: g) What type of error, and why, might be being made with the conclusion of this test ? h) A95% confidence interval for the population characteristic of interest is (125.866,128.534). What is the value of t ? Does the conclusion of the hypothesis test concur with the result of the hypothesis test ? Provide rationale for your answer.


Extracted text: Regulations require that product labels on containers of food that are available for sale to the public accurately state the amount of food in those containers. Specifically, if milk containers are labeled to have 128 fluid ounces and the mean number of fluid ounces of milk in the containers is at least 128, the milk processor is considered to be in compliance with the regulations. The filling machines can be set to the labeled amount. Variability in the filling process causes the actual contents of milk containers to be normally distributed. A random sample of 12 containers of milk was drawn from the milk processing line in a plant, and the amount of milk in each container was recorded. The sample mean and sample standard deviation of this sample of 12 containers of milk were 127.2 ounces and 2.1 ounces, respectively. Suppose a hypothesis test is going to be done to determine whether the packaging plant is not in compliance with the regulations? a) What is the name of the hypothesis test that should be done ? b) What hypotheses should be tested ? c) What are type 1 and type 2 errors in context ? d) What are consequences of each error type in context ? e) Suppose that are conditions and assumptions necessary to run a hypothesis test for this scenario are in place. What is the value of the test statistic ? SHOW all work. f) The p-value for this test is 0.1069. What conclusion should be made ? Is this result considered statistically significant ?