The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 21 males and 24 females. The males took an average of 2.3 English courses with a standard deviation of 1.1. The females took an average of 1.6 English courses with a standard deviation of 0.4. Conduct a hypothesis test at the 5% level of significance to determine whether the means are tatistically the same.
The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 21 males and 24 females. The males took an average of 2.3 English courses with a standard deviation of 1.1. The females took an average of 1.6 English courses with a standard deviation of 0.4. Conduct a hypothesis test at the 5% level of significance to determine whether the means are tatistically the same.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
No rounding please
![The mean number of English courses taken in a two-year time period by male and female college
students is believed to be about the same. An experiment is conducted and data are collected from
21 males and 24 females. The males took an average of 2.3 English courses with a standard
deviation of 1.1. The females took an average of 1.6 English courses with a standard deviation of 0.4.
Conduct a hypothesis test at the 5% level of significance to determine whether the means are
statistically the same.
Step 1: State the null and alternative hypotheses.
Ho: H1 – µ2 EM0
(So we will be performing a two-tailed
test.)
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the
differences of sample means.
The differences of sample means are t-distributed
vv with distribution mean 0
and distribution standard deviation
Enter an integer or decimal number [more..]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ef5f725-b08b-4f71-a80c-f37e47d07785%2F850c32dc-176c-46f2-a048-c5329631e8b1%2Fm3sm0b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The mean number of English courses taken in a two-year time period by male and female college
students is believed to be about the same. An experiment is conducted and data are collected from
21 males and 24 females. The males took an average of 2.3 English courses with a standard
deviation of 1.1. The females took an average of 1.6 English courses with a standard deviation of 0.4.
Conduct a hypothesis test at the 5% level of significance to determine whether the means are
statistically the same.
Step 1: State the null and alternative hypotheses.
Ho: H1 – µ2 EM0
(So we will be performing a two-tailed
test.)
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the
differences of sample means.
The differences of sample means are t-distributed
vv with distribution mean 0
and distribution standard deviation
Enter an integer or decimal number [more..]
Transcribed Image Text:Step 3: Find the p-value of the point estimate.
P(d 2v
= P(IV
p-value
%3D
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Knowledge Booster
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman