Consider the following hypothesis test.Ho: ≤ 12H₂: #> 12A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.54.(a) Compute the value of the test statistic. (Round your answer to three decimal places.)(b) Use the t distribution table to compute a range for the p-value.p-value > 0.200O 0.100 < p-value < 0.200O 0.050 12.Reject Ho. There is sufficient evidence to conclude that # > 12.Reject Ho. There is insufficient evidence to conclude that > 12.Do not reject Ho. There is insufficient evidence to conclude that μ> 12.(d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round youranswer to three decimal places.)test statistic stest statistic 2What is your conclusion?Do not reject Ho. There is sufficient evidence to conclude that > 12.Reject Ho. There is sufficient evidence to conclude that /> 12.Reject Ho. There is insufficient evidence to conclude that μ> 12.Do not reject Ho. There is insufficient evidence to conclude that µ> 12.

Given that Sample size = n = 25, Sample standard deviation = s = 4.54 Note : According to bartleby…

Answered: Consider the following hypothesis test.…

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

You wish to test the following claim (HaHa) at a significance level of α=0.001. Ho:μ=90.9 Ha:μ>90.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=583 with mean M=91.7 and a standard deviation of SD=10.1.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. The sample data support the claim that the population mean is…
You wish to test the following claim (HaHa) at a significance level of α=0.10. Ho:μ=61.2 Ha:μ>61.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=104 with mean M=64.8 and a standard deviation of SD=20.3.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = __________What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = __________The p-value is... less than (or equal to) αα or greater than α (choose one) ________________
A shop sells a particular make of video recorder. Find the minimum number that should be in stock at the beginning of a month so that the shop can be at least 95% sure of being able to meet the demands during the month. None of the choices 0.9626 0.9376 0.9374
You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:μ = 90.9 Ha:μ > 90.9 You believe the population is normally distributed and you know the standard deviation is o = 15.2. You obtain a sample mean of M = 97.7 for a sample of size n = 39. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... o less than (or equal to) a Ogreater than a This test statistic leads to a decision to... o reject the null O accept the null o fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. The sample data support the claim that the population mean is greater than 90.9. There…
You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: p=61.8 Ha : μ < 61.8 You believe the population is normally distributed and you know the standard deviation is o = 13.8. You obtain a sample mean of M = 56.3 for a sample of size n = 43. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (Ha) at a significance level of α=0.002 Ho:μ=81.8 Ha:μ<81.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22 with mean M=76.5 and a standard deviation of SD=14.6What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... A-less than (or equal to) αα B-greater than αα This test statistic leads to a decision to... A-reject the null B-accept the null C-fail to reject the null As such, the final conclusion is that... A-There is sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. B-There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. C-The sample data support the claim that the population mean…
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=50.8 Ha:μ>50.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=7 with mean x=56.1 and a standard deviation of s=8.8What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 50.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 50.8. The sample data support the claim that the population mean is greater than 50.8. There is not sufficient sample evidence to support the claim that the population mean is greater…
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 70.7 Ha:H # 70.7 You believe the population is normally distributed and you know the standard deviation is o = 7.1. You obtain a sample mean of M = 74.7 for a sample of size n = 35. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = %3D
You wish to test the following claim (HaHa) at a significance level of α=0.01. Ho:μ=77.7 Ha:μ<77.7You believe the population is normally distributed and you know the standard deviation is σ=9.2. You obtain a sample mean of M=73.4 for a sample of size n=41What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... (multiple choice) less than (or equal to) αα greater than αα This test statistic leads to a decision to... (multiple choice) reject the null accept the null fail to reject the null As such, the final conclusion is that... (multiple choice) There is sufficient evidence to warrant rejection of the claim that the population mean is less than 77.7. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 77.7. The sample data support the claim that…
You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:µ = 60.5 Ha:µ + 60.5 You believe the population is normally distributed and you know the standard deviation is o = 11.1 You obtain a sample mean of M = 56.9 for a sample of size n = 39. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is. O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 60.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 60.5. O The sample data support the claim that the population mean is not equal to 60.5. O…
You wish to test the following claim (HaHa) at a significance level of α=0.005. Ho:μ=75.6 Ha:μ≠75.6You believe the population is normally distributed and you know the standard deviation is σ=5.1. You obtain a sample mean of M=72.6 for a sample of size n=28.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
You wish to test the following claim ( Ha) at a significance level of α= 0.10. Ho: μ= 84.8Ha: μ< 84.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:66.582.260.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is...less than (or equal to) α or greater than α This test statistic leads to a decision to...reject the nullaccept the nullfail to reject the null As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population mean is less than 84.8.There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 84.8.The sample data support the claim that the population mean is less than 84.8.There is not sufficient sample evidence to…

SEE MORE QUESTIONS

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