A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 422 gram setting. Based on a 24 bag sample where the mean is 424 grams and the standard deviation is 14, is there sufficient evidence at the 0.1 level that the bags are overfilled? Assume the population distribution is approximately normal.
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to three decimal places.
Specify if the test is one-tailed or two-tailed.
Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Make the decision to reject or fail to reject the null hypothesis.
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 3 images
- As a mechanical engineer, the company you are working for assigned you for quality control. The manufacturing company produce 50,000 devices per day. Briefly explain: how will you determine equipment failures among manufactured devices? What sampling method will you apply to check the quality of the manufactured devices? Justifyarrow_forwardIf the objective function exposure quality of 90 changes by 65 ETV will not be 0. Should the 90 be 25 or 155arrow_forward38arrow_forward
- In a hypothesis test, a small value for the sample variance increases the likelihood that a statistically significant treatment effect will be detected. O True O Falsearrow_forwardA manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 438.0 gram setting. It is believed that the machine is underfilling the bags. A 46 bag sample had a mean of 436.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the variance is known to be 400.00. Enter the decision rule.arrow_forwardTwelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 11.404 0.044 7 11.403 0.021 2 11.400 0.051 8 11.407 0.058 3 11.389 0.042 9 11.397 0.039 4 11.406 0.037 10 11.403 0.038 5 11.395 0.048 11 11.401 0.054 6 11.397 0.053 12 11.406 0.061 Part 2 For the given data, the x = enter your response here inches (round your response to four decimal places). The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before…arrow_forward
- A control chart for fraction nonconforming is to be established using a center line of p=0.03. What sample size is required if we wish to detect a shift in the process fraction nonconforming to 0.08 with probability 0.50? 1269 475 73 316 216 2 105 150 265arrow_forwardA sampling plan is desired to have a producer's risk of 0.10 at AQL -0.8% and a consumer's risk of 0.05 at LQL-7.5% nonconforming Find the single sampling plan that meets the consumer's stipulation and comes as close as possible to meeting the producer's stipulation.arrow_forwardWhich of the following is a basic step in selecting a sample from a population regardless of the specific technique being used? Select one: a. Identify the population b. All of these option c. Define the sample size d. Select a samplearrow_forward
- A Brisbane warehouse buys pre-packed bulk bags of Bundaberg Sugar with an advertised mean weight of 20 kilograms. To determine the validity of the advertised claim, the warehouse manager took a random sample of 55 packets from the latest shipment and found an average weight of the packets of 20.011 kilograms. Bundaberg Sugar know, from analysing data over many years, that their 20kg bulk bag packing process results in a standard deviation of 45 grams. 1. State the direction of the alternative hypothesis used to test the advertised claim. Type the letters gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box. 2. Use the tables in the text to determine the critical value used to conduct the test, assuming a 10% level of significance. If there are two critical values, state only the positive value. 3. Calculate the test statistic, reporting your answer to two decimal places 4. Is the null hypothesis…arrow_forwardWhich of the following involves a test of two-related samples? Multiple Choice Test of whether the mean salary of professors at Metro University is higher than the national average for university professors Test of differences in the percent of men and women who are or are not members of Greek organizations on campus Test of whether a change occurred in the proneness for heart disease among people who switched to a diet high in fish Test of the average incomes of subscribers of Southern Living and Better Homes and Gardens Test of differences in ad recall among three experimental groups (each of which saw a different advertisement) and a control grouparrow_forwardA publisher reports that 67% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 160 found that 71% of the readers owned a personal computer. Is there sufficient evidence at the 0.01 level to support the executive's claim? Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 6: Specify if the test is one-tailed or two-tailed. Step 4 of 6: Determine the decision rule for rejecting the null hypothesis, H0H0. Step 5 of 6: Make the decision to reject or fail to reject the null hypothesis. Step 6 of 6: State the conclusion of the hypothesis test.arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill EducationOperations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
- Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage LearningProduction and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.