You wish to test the following claim (Ha) at a significance level of α=0.002.      Ho:μ=58.6      Ha:μ≠58.6You believe the population is normally distributed and you know the standard deviation is σ=15.9. You obtain a sample mean of M=62.8 for a sample of size n=75.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = ± __________What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = ____________The test statistic is... in the critical region not in the critical region 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 not equal to 58.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 58.6. The sample data support the claim that the population mean is not equal to 58.6. There is not sufficient sample evidence to support the claim that the population mean is not equal to 58.6.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

You wish to test the following claim (Ha) at a significance level of α=0.002.

      Ho:μ=58.6
      Ha:μ≠58.6

You believe the population is normally distributed and you know the standard deviation is σ=15.9. You obtain a sample mean of M=62.8 for a sample of size n=75.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ± __________

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = ____________

The test statistic is...

  • in the critical region
  • not in the critical region



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 not equal to 58.6.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 58.6.
  • The sample data support the claim that the population mean is not equal to 58.6.
  • There is not sufficient sample evidence to support the claim that the population mean is not equal to 58.6.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman