A quality-assurance inspector periodically examines the output of a machine to determine whether it is properly adjusted. When set properly, the machine produces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.

An operations specialist has measured the standard deviation of all parts for a process to be 0.002921374. The sample size is five parts. What is the estimated standard deviation for the X̄-chart? a. 0.000292137 b. 0.000584275 c. 0.000923820 d. 0.001306478 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.

A consumer group claims that the average annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds. You believe it is higher. You take a simple random sample of 31 people in the U.S. and find an average of 53.3 pounds with a standard deviation of 5.2 pounds. Test at 5% significance.Round to the fourthH0: HA: Test Statistic: P-value: Did something significant happen? Select the Decision Rule: There enough evidence to conclude

A supplier is selling lumber to a building supply company.  The building supply company requires that the overall length of a particular type of board measure between 95.9 and 96.1 inches. Before sending its next shipment, the supplier collects a large sample of boards and determines the mean length of the sample is 96.03 inches, with a standard deviation of 0.029 inches. What is the process capability index of the current process? Two decimal places.

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,700 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,750 bus miles and a sample standard deviation of 175 bus miles. Complete parts​ (a) and​ (b) below. Identify the critical​ value(s). Determine the test statistic. State the conclusion. Determine the​ p-value and interpret its meaning

Watching TV: In 2012, the General Social Survey asked a sample of 1318 people how much time they spent watching TV each day. The mean number of hours was 2.95 with a standard deviation of 2.63. A sociologist claims that people watch a mean of 3 hours of TV per day. Do the data provide sufficient evidence to conclude that the mean hours of TV watched per day differs from the claim? Use the a= 0.01 level of significance and the critical value method. Part: 0 / 5 Part 1 of 5 State the appropriate null and alternate hypotheses. H: H₁ : This hypothesis test is a (Choose one) test. 0<0 ☐☐ X □<口 μ 0=0 Ś

During an economic​ crisis, the average value of homes in a community of 36 homes lost ​$9284 with a standard deviation of $1450. The average home value in the region lost ​$8790. Was this community of 36 homes​ unusual? Use a​ t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test.   H0: μ ▼   less than< greater than> equals= not equals≠ nothing HA: μ ▼   less than< not equals≠ greater than> equals= nothing The test statistic is nothing. ​(Round to two decimal places as​ needed.) The​ P-value is nothing. ​(Round to three decimal places as​ needed.) What is the conclusion of the​ test? Was the average loss observed significantly different from the region​ value?   ▼   Fail to reject Reject the null hypothesis because the​ P-value is ▼   greater less than the given significance​ level, and conclude that the…

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.8 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 8.0 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 94 bolts. The sample mean bolt length was 19.06 centimeters. The population standard deviation is known to be o = 0.26 centimeters. What is the test statistic z? Ex: 1.23 What is the p-value? Ex. 0.123 Does sufficient evidence exist that the length of boltş is actually greater than the mean value at a significance level of a = 0.01?[ Select v

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.3 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 4.7 pounds/square inch with a standard deviation of 0.8. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.