Homework Help is Here – Start Your Trial Now!
Math
Statistics
What is the test statistic and P value?

What is the test statistic and P value?

MATLAB: An Introduction with Applications
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
icon
Related questions
Question

What is the test statistic and P value?

You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.02\). \[ H_0: \mu = 62.6 \\ H_a: \mu \neq 62.6 \] You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: \[ \begin{array}{cccccc} 65.1 & 52.8 & 71.9 & 53.1 & 57.5 \\ 58.3 & 70.2 & 59.4 & 54.6 & 79.0 \\ 48.4 & 79.0 & 75.6 & 56.6 & 60.1 \\ 64.3 & 62.7 & 55.2 & 64.5 & 64.9 \\ 67.6 & 79.0 & 64.7 & 56.6 & 66.8 \\ 60.7 & 64.7 & 63.5 & 72.5 & 64.7 \\ 58.3 & 62.7 & 52.1 & 52.4 & 63.1 \\ 66.3 & 59.6 & 63.5 & 67.3 & 59.0 \\ 46.6 & 49.7 & 69.8 & 75.6 & 57.5 \\ \end{array} \] 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 = \_\_\_\_
Transcribed Image Text:You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.02\). \[ H_0: \mu = 62.6 \\ H_a: \mu \neq 62.6 \] You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: \[ \begin{array}{cccccc} 65.1 & 52.8 & 71.9 & 53.1 & 57.5 \\ 58.3 & 70.2 & 59.4 & 54.6 & 79.0 \\ 48.4 & 79.0 & 75.6 & 56.6 & 60.1 \\ 64.3 & 62.7 & 55.2 & 64.5 & 64.9 \\ 67.6 & 79.0 & 64.7 & 56.6 & 66.8 \\ 60.7 & 64.7 & 63.5 & 72.5 & 64.7 \\ 58.3 & 62.7 & 52.1 & 52.4 & 63.1 \\ 66.3 & 59.6 & 63.5 & 67.3 & 59.0 \\ 46.6 & 49.7 & 69.8 & 75.6 & 57.5 \\ \end{array} \] 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 = \_\_\_\_
Expert Solution
steps

Step by step

Solved in 3 steps with 11 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS