secol the opposite sig for the rejection rule, to three decimal places, ar test statistic < 4.004 test statistic 2 -2.002

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
Step 8
This is a two-tailed test, so we are concerned about the critical values that give a total area of 0.05 in both
the upper and lower tails. Therefore, each tail will have an area equal to half of 0.05, or 0.025. Any test
statistic greater than or equal to the positive critical value or less than or equal to the negative critical value
will result in the null hypothesis being rejected. An excerpt of the t table with 57 degrees of freedom is given
below.
Area in Upper Tail
Degrees
of Freedom
0.20
0.10
0.05
0.025
0.01
0.005
57
0.848
1.297
1.672
2.002
2.394
2.665
Move along the row for 57 degrees of freedom until reaching the column corresponding to an upper tail area
of 0.025. This value of t will be the positive critical value. Find this value, rounding the results to three
decimal places.
t = 2.002
The second critical value will be the opposite sign of the positive one just found. Therefore, the critical values
for the rejection rule, to three decimal places, are as follows.
test statistic < 4.004
test statistic > -2.002
Submit
Skip (you cannot come back)
Transcribed Image Text:Step 8 This is a two-tailed test, so we are concerned about the critical values that give a total area of 0.05 in both the upper and lower tails. Therefore, each tail will have an area equal to half of 0.05, or 0.025. Any test statistic greater than or equal to the positive critical value or less than or equal to the negative critical value will result in the null hypothesis being rejected. An excerpt of the t table with 57 degrees of freedom is given below. Area in Upper Tail Degrees of Freedom 0.20 0.10 0.05 0.025 0.01 0.005 57 0.848 1.297 1.672 2.002 2.394 2.665 Move along the row for 57 degrees of freedom until reaching the column corresponding to an upper tail area of 0.025. This value of t will be the positive critical value. Find this value, rounding the results to three decimal places. t = 2.002 The second critical value will be the opposite sign of the positive one just found. Therefore, the critical values for the rejection rule, to three decimal places, are as follows. test statistic < 4.004 test statistic > -2.002 Submit Skip (you cannot come back)
Expert Solution
steps

Step by step

Solved in 2 steps

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
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