# Question: A production line operates with a mean filling weight of

A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation σ = .8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is α = .05.

a. State the hypothesis test for this quality control application.

b. If a sample mean of x = 16.32 ounces were found, what is the p-value? What action would you recommend?

c. If a sample mean of x = 15.82 ounces were found, what is the p-value? What action would you recommend?

d. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion?

a. State the hypothesis test for this quality control application.

b. If a sample mean of x = 16.32 ounces were found, what is the p-value? What action would you recommend?

c. If a sample mean of x = 15.82 ounces were found, what is the p-value? What action would you recommend?

d. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion?

## Answer to relevant Questions

At Western University the historical mean of scholarship examination scores for fresh-man applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample ...The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost of $125,000 or less per lot. Suppose a sample of 32 properties provided a sample mean of ...1. Conduct a hypothesis test for each sample at the .01 level of significance and determine what action, if any, should be taken. Provide the test statistic and p-value for each test.2. Compute the standard deviation for ...Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation’s largest retailers (Consumer Reports, March 2012). Each survey respondent is asked to rate a specified retailer in terms of ...The following data are from matched samples taken from two populations./a. Compute the difference value for each element.b. Compute d.c. Compute the standard deviation sd.d. What is the point estimate of the difference ...Post your question