You wish to test the following claim (Ha) at a significance level of a = 0.05. H.: µ1 = µ2 Ha: µ1 7 42 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size nį = 18 with a mean of M1 : Iu deviation of SD1 : 63.3 and a standard = 13.3 from the first population. You obtain a sample of size n2 = 10 with a mean of M2 and a standard deviation of SD2 = 7.8 from the second population. 71.3 %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =-1.680 X What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.) p-value =.1049 × %3D

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 a =
0.05.
H,: µ1
= µ2
Ha:µ1 7 µ2
You believe both populations are normally distributed, but
you do not know the standard deviations for either. However,
you also have no reason to believe the variances of the two
populations are not equal. You obtain a sample of size
nj = 18 with a mean of M1
63.3 and a standard
deviation of SD1 = 13.3 from the first population. You
obtain a sample of size n2 =
and a standard deviation of SD2 = 7.8 from the second
population.
10 with a mean of M2
71.3
What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic = -1.680 X
What is the p-value for this sample? For this calculation, use
the conservative under-estimate for the degrees of freedom
as mentioned in the textbook. (Report answer accurate to
four decimal places.)
p-value
|.1049 X
%D
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.05. H,: µ1 = µ2 Ha:µ1 7 µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size nj = 18 with a mean of M1 63.3 and a standard deviation of SD1 = 13.3 from the first population. You obtain a sample of size n2 = and a standard deviation of SD2 = 7.8 from the second population. 10 with a mean of M2 71.3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = -1.680 X What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.) p-value |.1049 X %D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 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.
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