Answered: Assume that the two samples are…

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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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.

Let μ1 be the mean diastolic blood pressure for women and let

μ2 be the mean diastolic blood pressure for men. What are the null and alternative hypotheses?

H0:

μ1<μ2

H1:

μ1=μ2

H0:

μ1=μ2

H1:

μ1>μ2

H0:

μ1≠μ2

H1:

μ1=μ2

H0:

μ1=μ2

H1:

μ1≠μ2

Calculate the test statistic.

t=_____

(Round to two decimal places as needed.)

Find the P-value.

P-value=_____

(Round to three decimal places as needed.)

Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

▼

Fail to reject

Reject

H0.

There

▼

is not

sufficient evidence to warrant rejection of the claim that women and men have the same mean diastolic blood pressure.

Data for diastolic blood pressure of men and women
Women
Men
Women
Men
70.0
71.0
64.0
65.0
93.0
65.0
73.0
81.0
81.0
68.0
56.0
91.0
67.0
59.0
59.0
80.0
73.0
65.0
79.0
89.0
81.0
70.0
71.0
63.0
58.0
59.0
70.0
71.0
50.0
40.0
65.0
78.0
71.0
66.0
67.0
75.0
87.0
65.0
83.0
58.0
69.0
83.0
54.0
67.0
60.0
75.0
75.0
85.0
71.0
54.0
75.0
71.0
68.0
68.0
69.0
75.0
72.0
61.0
76.0
51.0
65.0
52.0
91.0
88.0
91.0
57.0
56.0
77.0
82.0
83.0
80.0
81.0
70.0
61.0
77.0
68.0
61.0
73.0
65.0
77.0
71.0
81.0
73.0
67.0
73.0
103.0
62.0
51.0
89.0
60.0
88.0
65.0
71.0
79.0
55.0
72.0
67.0
73.0
75.0
66.0
69.0
83.0
75.0
76.0
71.0
65.0
90.0
52.0
83.0
67.0
65.0
53.0
74.0
55.0
70.0
66.0

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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