A company that produces valves wants to error test the valves. 12% of all produced valves gave at least (at least) one error. It is done some changes to the production process to try to reduce the amount of produces valves with errors. After the changes in the production process is done, the company wants to find out if the changes has had some effects. This will be done by preforming a hypothesis test with a 5% significant value based on the information they get from counting the number of valves with errors they find in a production with n independent valves. a) Formulate the issue as a hypothesis test. b) If the amount of valves with errors after the changes is 10%, what is the probability for the test to discard(what is the strength of the test) ifn = 100? c) Calculate the strength of the test if n = 100 and the amount of errors after the changes is 8%. d) If you would want a probability at 90% for the test to discard (strength at 90%) if the amount of errors after the changes is about 8%, how many valves, n, have to be tested?

A company that produces valves wants to error test the valves. 12% of all produced valves gave at least (at least) one error. It is done some changes to the production process to try to reduce the amount of produces valves with errors. After the changes in the production process is done, the company wants to find out if the changes has had some effects. This will be done by preforming a hypothesis test with a 5% significant value based on the information they get from counting the number of valves with errors they find in a production with n independent valves. a) Formulate the issue as a hypothesis test. b) If the amount of valves with errors after the changes is 10%, what is the probability for the test to discard(what is the strength of the test) ifn = 100? c) Calculate the strength of the test if n = 100 and the amount of errors after the changes is 8%. d) If you would want a probability at 90% for the test to discard (strength at 90%) if the amount of errors after the changes is about 8%, how many valves, n, have to be tested?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A auto shop wants to examine the proportion of customers that have to return after an appointment. Last year, an examination of 264 customers found that 30.1% had to return after an appointment. You instituted some changes at the auto shop this year, and found from a sample of 326 customers that 22.4% had to return after an appointment. You want to conduct an analysis to determine if there has been an increase in the proportion of customers that need to return after an appointment since the past year, with a = 0. 10. Using this information, what is the critical value of your analysis? Round your final answer to two decimal places. 2.11 1.96 2.33 1.28 1.64
Please answer these questions thanks
You are a medical researcher that wants to determine if your new drug can lower people's blood pressure. You recruit 60 participants with high blood pressure to be part of your study. You randomly assign participants to one of three groups to receive either 10 mg of your drug, 5 mg, or 0 mg (given as a placebo control). After 2 weeks, participants' blood pressure is measured and you compare among the 3 groups. Which statistical test would be best to determine if there is a significant difference in blood pressure among the three groups?
A person is interested in studying the amount of time (in minutes ) people spend on social media in a day. The following data is collected from a sample of 12 people : 45, 60,25,55,75,90,100,120,105,80, 0 and 220. Does the data contain outlier(s)? Explain your reasoning. ( use empirical rule and use the quartile method to check ).
Five years ago 54% of American families owned stocks or stock funds.the Investment Company Institute sampled 400 American families to estimate that the percent owning stocks or stock funds is decreased or not. And find 210 owns stock . What is the test statistics for your hypothesis test (round to 3 decimals)?
We need first to determine the degrees of freedom before we could calculate the sample mean True False
Clothes dried outside smell better than those dried in a dryer because of a process called photolysis. Sunlight breaks down compounds that cause odor. A trained smeller is asked to smell a random sample of 20 towels. The smeller does not know it, but all of the 20 towels have been dried in the sun. The smeller is blindfolded and is not allowed to touch the towels but leans forward to smell the towel then rates the towel on a smell-scale of 1 to 10, where 1 is the an extremely unpleasant smell and 10 is a very good smell. A smell rating of 8 is typically attributed to a towel that is dried in the dryer. The mean smell rating for these 20 towels is approximately normal with a mean of 8.45 and the standard deviation is 0.887. A statistician performs a test of Ho μ = 8 versus H₁ μ> 8 where is the true mean smell rating for all towels dried in the sun. This test yields a P-value of 0.0176. What conclusion would you make at the significance level a = 0.05? Because the P-value of 0.0176 < α =…
A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?
A gigantic warehouse stores approximately 70 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with blackspot, rendering them unusable. A statistician was hired by the insurance company to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate p to within 0.02 with 95% confidence? The statistician should sample (Round up to the nearest can.) cans to estimate the proportion that were contaminated by the fire to within 0.02 with 95% confidence.