Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
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
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a
0.01
significance level to test the claim that women and men have the same mean diastolic blood pressure.Women Men
70.0 69.0
94.0 65.0
81.0 67.0
67.0 60.0
71.0 65.0
80.0 69.0
57.0 59.0
50.0 40.0
71.0 67.0
88.0 65.0
67.0 83.0
59.0 73.0
73.0 53.0
63.0 77.0
67.0 53.0
89.0 91.0
57.0 79.0
84.0 79.0
69.0 61.0
63.0 73.0
69.0 80.0
71.0 101.0
88.0 59.0
71.0 78.0
65.0 71.0
69.0 84.0
70.0 65.0
83.0 67.0
73.0 57.0
91.0 83.0
62.0 78.0
71.0 56.0
77.0 62.0
91.0 67.0
85.0 71.0
59.0 48.0
78.0 64.0
81.0 76.0
77.0 73.0
85.0 53.0
75.0 67.0
60.0 61.0
63.0 67.0
77.0 77.0
60.0 73.0
68.0 74.0
65.0 65.0
53.0 89.0
66.0 65.0
73.0 75.0
65.0 48.0
73.0 88.0
79.0 89.0
66.0 69.0
85.0 72.0
60.0 66.0
93.0 73.0
57.0 87.0
77.0 55.0
73.0 92.0
59.0 83.0
78.0 88.0
65.0 94.0
91.0 87.0
46.0 89.0
46.0 101.0
67.0 71.0
70.0 83.0
56.0 70.0
71.0 65.0
66.0 64.0
71.0 70.0
70.0 71.0
65.0 54.0
74.0 75.0
64.0 65.0
72.0 79.0
56.0 91.0
57.0 80.0
79.0 87.0
71.0 65.0
70.0 71.0
63.0 77.0
66.0 77.0
83.0 59.0
53.0 67.0
76.0 83.0
73.0 71.0
51.0 67.0
91.0 68.0
57.0 71.0
83.0 75.0
81.0 71.0
77.0 67.0
66.0 77.0
73.0 67.0
63.0 50.0
88.0 65.0
55.0 72.0
76.0 67.0
77.0 77.0
91.0 52.0
64.0 54.0
69.0 66.0
80.0 85.0
42.0 85.0
74.0 72.0
71.0 81.0
46.0 70.0
72.0 55.0
88.0 85.0
78.0 83.0
69.0 59.0
67.0 69.0
71.0 65.0
81.0 67.0
65.0 71.0
99.0 63.0
67.0 65.0
71.0 78.0
61.0 86.0
69.0 77.0
68.0 95.0
75.0 96.0
59.0 75.0
69.0 80.0
53.0 73.0
55.0 56.0
69.0 77.0
69.0 74.0
75.0 50.0
76.0 76.0
40.0 82.0
73.0 67.0
57.0 81.0
69.0 75.0
79.0 83.0
65.0 54.0
73.0 84.0
65.0 98.0
67.0 67.0
55.0 68.0
96.0 68.0
71.0 69.0
65.0 46.0
83.0 57.0
53.0 51.0
67.0
44.0
82.0
63.0
74.0
70.0
![**Hypothesis Testing for Mean Diastolic Blood Pressure**
Consider \(\mu_1\) as the mean diastolic blood pressure for women and \(\mu_2\) as the mean diastolic blood pressure for men. We need to determine the null and alternative hypotheses regarding these means.
**Options for Null and Alternative Hypotheses:**
- **A.**
- \(H_0\): \(\mu_1 = \mu_2\)
- \(H_1\): \(\mu_1 > \mu_2\)
- **B.**
- \(H_0\): \(\mu_1 < \mu_2\)
- \(H_1\): \(\mu_1 = \mu_2\)
- **C.**
- \(H_0\): \(\mu_1 \neq \mu_2\)
- \(H_1\): \(\mu_1 = \mu_2\)
- **D.**
- \(H_0\): \(\mu_1 = \mu_2\)
- \(H_1\): \(\mu_1 \neq \mu_2\)
**Statistical Analysis Steps:**
1. **Calculate the Test Statistic:**
- \( t = \) [box for input] (Round to two decimal places as needed.)
2. **Find the P-value:**
- P-value = [box for input] (Round to three decimal places as needed.)
3. **Make a Conclusion:**
- Conclusion regarding \(H_0\): Select from a dropdown
- There [dropdown for input] sufficient evidence to warrant rejection of the claim that women and men have the same mean diastolic blood pressure.
**Note:** Fill in the calculations as needed on your study page.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75dae615-689e-4398-9c82-2dfb5974be65%2F43500d09-ac1d-4cae-8f4c-84e92ee81f32%2Ft35q39h_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing for Mean Diastolic Blood Pressure**
Consider \(\mu_1\) as the mean diastolic blood pressure for women and \(\mu_2\) as the mean diastolic blood pressure for men. We need to determine the null and alternative hypotheses regarding these means.
**Options for Null and Alternative Hypotheses:**
- **A.**
- \(H_0\): \(\mu_1 = \mu_2\)
- \(H_1\): \(\mu_1 > \mu_2\)
- **B.**
- \(H_0\): \(\mu_1 < \mu_2\)
- \(H_1\): \(\mu_1 = \mu_2\)
- **C.**
- \(H_0\): \(\mu_1 \neq \mu_2\)
- \(H_1\): \(\mu_1 = \mu_2\)
- **D.**
- \(H_0\): \(\mu_1 = \mu_2\)
- \(H_1\): \(\mu_1 \neq \mu_2\)
**Statistical Analysis Steps:**
1. **Calculate the Test Statistic:**
- \( t = \) [box for input] (Round to two decimal places as needed.)
2. **Find the P-value:**
- P-value = [box for input] (Round to three decimal places as needed.)
3. **Make a Conclusion:**
- Conclusion regarding \(H_0\): Select from a dropdown
- There [dropdown for input] sufficient evidence to warrant rejection of the claim that women and men have the same mean diastolic blood pressure.
**Note:** Fill in the calculations as needed on your study page.
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