The image discusses a statistical problem related to the piston diameter of a hand pump. The diameter is normally distributed with a mean of 0.7 inches and a standard deviation of 0.005 inches. After recalibrating the production machine, the manager randomly selects 26 pistons and finds the standard deviation to be 0.0044 inches. The question posed is whether there is significant evidence to conclude that the standard deviation has decreased at the α = 0.01 level of significance.**Instructions for the Problem:**1. **Calculate the value of the test statistic:** - \(\chi^2 =\) [Box provided for entry] - (Round to three decimal places as needed.)2. **Use technology to determine the P-value for the test statistic:** - The P-value is [Box provided for entry] - (Round to three decimal places as needed.)3. **Conclusion at \(\alpha = 0.01\) level of significance:** - Since the P-value is [greater] than the level of significance, [do not reject] the null hypothesis. There [is not] sufficient evidence to conclude that the standard deviation has decreased at the 0.01 level of significance.**Additional Notes:**- Checkboxes are used for selecting the correct options related to the P-value comparison and decision on the null hypothesis.

Given that: Sample standard deviation = 0.0044 Population standard deviation = 0.005 Sample size=26

Answered: The piston diameter of a certain hand…

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

The piston diameter of a certain hand pump is 0.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.7 inch and a standard deviation of 0.003 inch. After recalibrating the production machine, the manager randomly selects 25 pistons and determines that the standard deviation is 0.0026 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is H₂: = 0.003. The alternative hypothesis is H₁: Calculate the value of the test statistic. 6 n example X = (Round to two decimal places as needed.) D 0.003. Get more help - # Clear all
The piston diameter of a certain hand pump is 0.8 inch. The manager determines that the diameters are normally distributed, with a mean of 0.8 inch and a standard deviation of 0.004 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0035 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: The alternative hypothesis is H,: Calculate the value of the test statistic. x= (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is. (Round to three decimal places as needed.) What is the correct conclusion at the a= 0.10 level of significance? Since the P-value is than the level of significance, V the null hypothesis. There V sufficient evidence to conclude that the standard deviation…
Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.35, and a sample of 43 ships that carry 500 or more passengers provided an average rating of 81.60. Assume that the population standard deviation is 4.54 for ships that carry fewer than 500 passengers and 3.99 for ships that carry 500 or more passengers. Round your all answers to two decimal places. a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships? to
The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager randomly selects 23 pistons and determines that the standard deviation is 0.0051 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.01 level of significance? x2 = (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) Enter your answer in each of the answer boxes: OVi 11:54 hp esc DII %23 %24 96 backspac 6 e r t f k a m alt ctri alt Op USE YOUR S Revlews Sp
The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.007 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0051 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a 0.05 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: o 0.007. The alternative hypothesis is H,: o 0.007. Calculate the value of the test statistic. x 14.863 (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is. (Round to three decimal places as needed.)
A nurse is interested in the amount of time patients spend exercising per day. According to a recent study, the daily workout time per adult follows an approximately normal distribution with a mean of 94 minutes and a standard deviation of 27minutes. If the nurse randomly samples patients in her office to analyze their exercise time and gets a standard error of 3minutes, how many patients did she sample?
The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.003 inch. After recalibrating the production machine, the manager randomly selects 28 pistons and determines that the standard deviation is 0.0027 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a= 0.10 level of significance? What are the correct hypotheses for this test? The null hypothesis is H₂: 0 M The alternative hypothesis is H₁: Calculate the value of the test statistic. x² = (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the α = 0.10 level of significance? Since the P-value is than the level of significance, the null hypothesis. There C sufficient evidence to conclude that the standard…
The manager of a computer retail store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.9 years and a standard deviation of 0.6 years. He then randomly selects records on 47 laptops sold in the past and finds that the mean replacement time is 3.7 years. Assuming that the laptop replacement times have a mean of 3.9 years and a standard deviation of 0.6 years, find the probability that 47 randomly selected laptops will have a mean replacement time of 3.7 years or less. P(M≤ 3.7 years) - Enter your answer rounded to 4 decimal places.
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.
The 2013 general Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 3.7 with a standard deviation of 2.5. Assume that in a sample of 57 teenagers, the sample standard deviation of daily TV time is 2.2 hours, and that the population of TV watching times is normally distributed. Under 1% significance level can you conclude that the population standard deviation of TV watching times for teenagers is different from 2.5? Procedure: One variance x² Hypothesis Test v Assumptions: (select everything that applies) ✔Population standard deviation is unknown ✔Simple random sample Normal population Sample size is greater than 30 0° The number of positive and negative responses are both greater than 10 Population standard deviation is known Step 1. Hypotheses Set-Up: Ho: Select an answer Ha: Select an answer ✓ ? V Step 2. The significance level a = OT % where? is the Select an answer ? " Part 2 of 5 and the units are and the test…

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS