A sample of 31 observations is selected from a normal population. The sample mean is 69, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.01 significance level.   H0: μ = 72 H1: μ ≠ 72   Is this a one- or two-tailed test?   multiple choice 1 One-tailed test Two-tailed test     What is the decision rule?   multiple choice 2 Reject H0 if −2.576 < z < 2.576 Reject H0 if z < −2.576 or z > 2.576     What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)         What is your decision regarding H0?   multiple choice 3 Reject H0 Fail to reject H0     e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)         e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)

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

A sample of 31 observations is selected from a normal population. The sample mean is 69, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.01 significance level.

 

H0: μ = 72

H1: μ ≠ 72

 

  1. Is this a one- or two-tailed test?

 

multiple choice 1

  • One-tailed test
  • Two-tailed test

 

 

  1. What is the decision rule?

 

multiple choice 2

  • Reject H0 if −2.576 < z < 2.576
  • Reject H0 if z < −2.576 or z > 2.576

 

 

  1. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

 

 

 

 

  1. What is your decision regarding H0?

 

multiple choice 3

  • Reject H0
  • Fail to reject H0

 

 

  1. e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

 

 

 

 

  1. e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)

 

 

 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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