The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September April Ho: H = 0 kg H₁: Hd> 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t= 2.82 (Round to two decimal places as needed.) 54 74 81 64 67 56 94 60 64 56 82 82 68 66 58 105 61 68 a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Identify the P-value. P-value = 0.011 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is kg<
The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September April Ho: H = 0 kg H₁: Hd> 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t= 2.82 (Round to two decimal places as needed.) 54 74 81 64 67 56 94 60 64 56 82 82 68 66 58 105 61 68 a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Identify the P-value. P-value = 0.011 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is kg<
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
![The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their
freshman year. Listed in the accompanying table are weights (kg) of randomly selected male
college freshmen. The weights were measured in September and later in April. Use the listed
paired sample data, and assume that the samples are simple random samples and that the
differences have a distribution that is approximately normal. Complete parts (a) through (c).
CHL
= 0 kg
September
April
54 74 81 64 67 56 94 60 64
56 82 82 68 66 58 105 61 68
a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April.
In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What
are the null and alternative hypotheses for the hypothesis test?
Ho: Pd
H₁: Hd > 0 kg
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= 2.82 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.011 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is less than the significance level, reject the null hypothesis. There is
college students, the weights in September are less than the weights in the following April.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is
kg<µg <kg.
(Type integers or decimals rounded to one decimal place as needed.)
sufficient evidence to support the claim that for the population of freshman male](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43a88bb5-68f0-4994-862d-8655793efb49%2F4a094f42-3f97-4bd4-bdd6-794bc1401e47%2Fu09dy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their
freshman year. Listed in the accompanying table are weights (kg) of randomly selected male
college freshmen. The weights were measured in September and later in April. Use the listed
paired sample data, and assume that the samples are simple random samples and that the
differences have a distribution that is approximately normal. Complete parts (a) through (c).
CHL
= 0 kg
September
April
54 74 81 64 67 56 94 60 64
56 82 82 68 66 58 105 61 68
a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April.
In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What
are the null and alternative hypotheses for the hypothesis test?
Ho: Pd
H₁: Hd > 0 kg
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= 2.82 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.011 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is less than the significance level, reject the null hypothesis. There is
college students, the weights in September are less than the weights in the following April.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is
kg<µg <kg.
(Type integers or decimals rounded to one decimal place as needed.)
sufficient evidence to support the claim that for the population of freshman male
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman