O B. Ho: H1 H2 O A. Ho: H1242 D. Ho: H1 2 H: H > P2 OC. Ho: 1 =42 H: 1 42 The test statistic, t, is 1.29, (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.)
O B. Ho: H1 H2 O A. Ho: H1242 D. Ho: H1 2 H: H > P2 OC. Ho: 1 =42 H: 1 42 The test statistic, t, is 1.29, (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.)
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
100%
![A study was conducted on body temperatures of men and women. The results are presented in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.
**Table: Body Temperatures of Men and Women**
| | Men (μ₁) | Women (μ₂) |
|---------------|---------|-----------|
| Sample Size (n) | 11 | 59 |
| Mean (x̄) | 97.77°F | 97.43°F |
| Standard Deviation (s) | 0.83°F | 0.61°F |
Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women.
**Hypothesis Testing:**
What are the null and alternative hypotheses?
- **Option A:**
\( H_0: \mu_1 \geq \mu_2 \)
\( H_1: \mu_1 < \mu_2 \)
- **Option B:**
\( H_0: \mu_1 \neq \mu_2 \)
\( H_1: \mu_1 < \mu_2 \)
- **Option C:**
\( H_0: \mu_1 = \mu_2 \)
\( H_1: \mu_1 \neq \mu_2 \)
- **Option D (Selected):**
\( H_0: \mu_1 = \mu_2 \)
\( H_1: \mu_1 > \mu_2 \)
**Results:**
- The test statistic \( t \) is **1.29**. (Round to two decimal places as needed.)
- The P-value is **\[ \]**. (Round to three decimal places as needed.)
This setup is used to determine if there is a statistically significant difference in mean body temperatures between men and women, with the claim being that men have a higher average body temperature.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2042fb1-363a-4ac8-9b5e-36efb4689de7%2F852c47d9-205c-4d66-ac8a-05451445c1ab%2F887761_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A study was conducted on body temperatures of men and women. The results are presented in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.
**Table: Body Temperatures of Men and Women**
| | Men (μ₁) | Women (μ₂) |
|---------------|---------|-----------|
| Sample Size (n) | 11 | 59 |
| Mean (x̄) | 97.77°F | 97.43°F |
| Standard Deviation (s) | 0.83°F | 0.61°F |
Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women.
**Hypothesis Testing:**
What are the null and alternative hypotheses?
- **Option A:**
\( H_0: \mu_1 \geq \mu_2 \)
\( H_1: \mu_1 < \mu_2 \)
- **Option B:**
\( H_0: \mu_1 \neq \mu_2 \)
\( H_1: \mu_1 < \mu_2 \)
- **Option C:**
\( H_0: \mu_1 = \mu_2 \)
\( H_1: \mu_1 \neq \mu_2 \)
- **Option D (Selected):**
\( H_0: \mu_1 = \mu_2 \)
\( H_1: \mu_1 > \mu_2 \)
**Results:**
- The test statistic \( t \) is **1.29**. (Round to two decimal places as needed.)
- The P-value is **\[ \]**. (Round to three decimal places as needed.)
This setup is used to determine if there is a statistically significant difference in mean body temperatures between men and women, with the claim being that men have a higher average body temperature.
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 with 2 images
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