A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.18 centimeters in diameter. The variance of the bolts should be 0.02. A random sample of 22 bolts has an average diameter of 0.19⁢cm with a standard deviation of 0.2428. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.005level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the decision. Step 5 of 5: What is the conclusion?

A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.18 centimeters in diameter. The variance of the bolts should be 0.02. A random sample of 22 bolts has an average diameter of 0.19⁢cm with a standard deviation of 0.2428. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.005level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the decision. Step 5 of 5: What is the conclusion?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

See similar textbooks

Similar questions

A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.24 centimeters in diameter. The variance of the bolts should be 0.015. A random sample of 12 bolts has an average diameter of 0.23 cm with a standard deviation of 0.2406. Can the manufacturer conclude that the bolts vary by more than the required variance at a = 0.025 level? Step 5 of 5: What is the conclusion?
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.19 centimeters in diameter. The variance of the bolts should be 0.015. A random sample of 21 bolts has an average diameter of 0.18⁢cm with a standard deviation of 0.1908. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.025 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.4 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 1090 samples is 4.3 ppm. Assume the variance is known to be 1.44. Does the data support the claim at the 0.05 level? Step 1 of 5: Enter the hypotheses: Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
A bolt manufacturer wants to investigate the machine that produces bolts with a diameter of 0.26 centimeters. If the variance of the diameters is equal to 0.02, then the machine is working as expected. A random sample of 20 bolts has a standard deviation of 0.2475. Does the manufacturer have evidence at the a = 0.005 level that the variance of the bolt diameters is more than required? Assume the population is normally distributed. Step 5 of 5: What is the conclusion?
A bolt manufacturer wants to investigate the machine that produces bolts with a diameter of 0.22 centimeters. If the variance of the diameters is equal to 0.015, then the machine is working as expected. A random sample of 30 bolts has a standard deviation of 0.0744. Does the manufacturer have evidence at the a= 0.025 level that the variance of the bolt diameters is less than required? Assume the population is normally distributed. Step 5 of 5: What is the conclusion?