A study was done on body temperatures of men and women. The results are shown 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. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? XA. Ho: H₁ = H₂ H₁ H₁ H₂ đc. Hoi HH2 H₁: H₁ H₂ The test statistic, t, is (...) (Round to two decimal places as needed.) OB. Ho: H1 H₂ H₁: Hy
A study was done on body temperatures of men and women. The results are shown 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. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? XA. Ho: H₁ = H₂ H₁ H₁ H₂ đc. Hoi HH2 H₁: H₁ H₂ The test statistic, t, is (...) (Round to two decimal places as needed.) OB. Ho: H1 H₂ H₁: Hy
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**A Study on Body Temperatures of Men and Women**
A study was conducted to analyze the body temperatures of men and women. The results are presented in the table below. For the purpose of the study, it is assumed that the two samples are independent simple random samples taken from normally distributed populations, and the population standard deviations are not equal. The following analysis will address parts (a) and (b) of the study.
| | Men | Women |
|---------|------------------|---------|
| **μ** | μ₁ | μ₂ |
| **n** | 11 | 59 |
| **x̄** | 97.61°F | 97.23°F |
| **s** | 0.81°F | 0.65°F |
---
**a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women.**
**What are the null and alternative hypotheses?**
1. **Option A:**
\[
\begin{align*}
\text{H}_0 &: \mu_1 = \mu_2 \\
\text{H}_1 &: \mu_1 \neq \mu_2
\end{align*}
\]
2. **Option B:**
\[
\begin{align*}
\text{H}_0 &: \mu_1 \neq \mu_2 \\
\text{H}_1 &: \mu_1 < \mu_2
\end{align*}
\]
3. **Option C (Correct):**
\[
\begin{align*}
\text{H}_0 &: \mu_1 = \mu_2 \\
\text{H}_1 &: \mu_1 > \mu_2
\end{align*}
\]
4. **Option D:**
\[
\begin{align*}
\text{H}_0 &: \mu_1 \ge \mu_2 \\
\text{H}_1 &: \mu_1 < \mu_2
\end{align*}
\]
**The test statistic, t, is [ ]***(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc39c14df-2a2f-44a5-9a29-9a69b6af0bf6%2Fe70143dc-a56a-4267-9258-7f021cb0f303%2Foyke9bk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**A Study on Body Temperatures of Men and Women**
A study was conducted to analyze the body temperatures of men and women. The results are presented in the table below. For the purpose of the study, it is assumed that the two samples are independent simple random samples taken from normally distributed populations, and the population standard deviations are not equal. The following analysis will address parts (a) and (b) of the study.
| | Men | Women |
|---------|------------------|---------|
| **μ** | μ₁ | μ₂ |
| **n** | 11 | 59 |
| **x̄** | 97.61°F | 97.23°F |
| **s** | 0.81°F | 0.65°F |
---
**a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women.**
**What are the null and alternative hypotheses?**
1. **Option A:**
\[
\begin{align*}
\text{H}_0 &: \mu_1 = \mu_2 \\
\text{H}_1 &: \mu_1 \neq \mu_2
\end{align*}
\]
2. **Option B:**
\[
\begin{align*}
\text{H}_0 &: \mu_1 \neq \mu_2 \\
\text{H}_1 &: \mu_1 < \mu_2
\end{align*}
\]
3. **Option C (Correct):**
\[
\begin{align*}
\text{H}_0 &: \mu_1 = \mu_2 \\
\text{H}_1 &: \mu_1 > \mu_2
\end{align*}
\]
4. **Option D:**
\[
\begin{align*}
\text{H}_0 &: \mu_1 \ge \mu_2 \\
\text{H}_1 &: \mu_1 < \mu_2
\end{align*}
\]
**The test statistic, t, is [ ]***(Round to two decimal places as needed.)
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