You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are:  Ho: μ=100  H1:μ<100H You take a simple random sample of 79 individuals and find the mean IQ score is 98.3, with a standard deviation of 15.3. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known.  Round to three decimal places where appropriate.  Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t =  Test Statistic: z =  Critical Value: t =  Critical Value: z =  p-value:  p-value:  Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ score is less than 100. There is NOT sufficient evidence to support the claim that the average IQ score is less than 100. There is sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100. There is NOT sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100. Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ score is less than 100. There is NOT sufficient evidence to support the claim that the average IQ score is less than 100. There is sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100. There is NOT sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100. Is there a significant difference between when we know the population standard deviation and when we don't? Explain.

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
Question
100%

You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are:

 Ho: μ=100

 H1:μ<100H

You take a simple random sample of 79 individuals and find the mean IQ score is 98.3, with a standard deviation of 15.3. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. 

Round to three decimal places where appropriate. 

Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15
Test Statistic: t =  Test Statistic: z = 
Critical Value: t =  Critical Value: z = 
p-value:  p-value: 
Conclusion About the Null:
  • Reject the null hypothesis
  • Fail to reject the null hypothesis
Conclusion About the Null:
  • Reject the null hypothesis
  • Fail to reject the null hypothesis
Conclusion About the Claim:
  • There is sufficient evidence to support the claim that the average IQ score is less than 100.
  • There is NOT sufficient evidence to support the claim that the average IQ score is less than 100.
  • There is sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100.
  • There is NOT sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100.
Conclusion About the Claim:
  • There is sufficient evidence to support the claim that the average IQ score is less than 100.
  • There is NOT sufficient evidence to support the claim that the average IQ score is less than 100.
  • There is sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100.
  • There is NOT sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100.

Is there a significant difference between when we know the population standard deviation and when we don't? Explain.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps

Blurred answer
Knowledge Booster
Statistical Power and Errors
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