Question

8. We know that the mean weight of men is greater than the mean weight of women, and the mean height of men is greater than the mean height of women. A person’s body mass index (BMI) is computed by dividing weight (kg) by the square of height (m). Use α = 0.05 significance level to test the claim that females and males have the same mean BMI. Below are the statistics for random samples of females and males. Female BMI: n = 75, ?̅= 29.04, s = 7.32 Male BMI: n = 85, ?̅= 28.33, s = 5.31

(a) identify the claim and state H0 and H1

(b) find the critical value

(c) find the test statistic

(d) decide whether to reject or fail to reject the null hypothesis

(e) interpret the decision in the context of the original claim.

Answer #1

A)Claim is that BMI for men and women are the same

H_{0} : There is no significant difference in the mean
BMI of men and women (ie)

H_{1} : There is significant difference in the mean BMI
of men and women (ie)

B)Critical value is t_{.05,158} = 1.975

C)Test statistic is

The value is .708

D)Since t < t_{cric} , we accept the null
hypothesis.

E)The claim is true that male and female have the same BMI

In Exercises 5–20, 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. (Note: Answers in Appendix D include
technology answers based
on Formula 9-1 along with “Table” answers based on Table A-3 with
df equal to the smaller
of n11 and n21.)
BMI We know that the mean weight of men is greater than the mean
weight of women, and the mean height...

7. Given in the table are the BMI statistics for random samples
of men and women. 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. Use a
0.05 significance level for both parts.
Male BMI
Female BMI
µ
µ1
µ2
N
48
48
xˉ
27.6431
26.5609
s
7.105107
4.438441
The test statistic, t, is ____
(Round to...

Given in the table are the BMI statistics for
random samples of men and women. 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.
Use a 0.01 significance level for both parts.
Male BMI
Female BMI
μ
μ1
μ2
n
50
50
x̄
27.7419
26.4352
s
8.437128
5.693359
a) Test the claim that males and females have...

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Given below are the BMI statistics for random samples of males
and females.
Male BMI
n=40
x bar=28.44075
s=7.394076
Female BMI
n= 40
x bar= 26.6005
s=5.359442
note: x bar is the sample mean.
Type you answers in the box below.
a) Find Ho and H1
b) Find the p-value

According to a report by the American Cancer Society, more men
than women smoke and twice as many smokers die prematurely than
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• Is there sufficient evidence to conclude that the
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Test the research hypothesis that the mean weight in men in 2006
is more than 191 pounds. We will assume the sample data are as
follows: n=100, =197.1 and s=25.6.

A sample of scores for men and women from an examination in
Statistics 201 were:
Men
82
74
93
88
75
52
93
48
91
56
51
Women
82
79
82
55
89
75
60
63
72
47
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw ≤ 5
H1: μm - μw
> 5
and using a 0.05 significance level conduct a t-test
about a difference in population means:
a)
What is the correct...

A sample of scores for men and women from an examination in
Statistics 201 were:
Men
62
91
92
77
69
86
64
60
94
Women
51
79
62
88
80
50
87
65
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw = -5
H1: μm - μw ≠
-5
and using a 0.05 significance level conduct a t-test
about a difference in population means:
a)
What is the correct decision rule?
Reject H0...

A sample of scores for men and women from an examination in
Statistics 201 were:
Men
68
88
57
56
74
76
95
Women
55
76
70
81
58
56
87
86
46
47
Given that the null hypothesis and the alternative hypothesis
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H0: μm -
μw ≤ -1
H1: μm - μw
> -1
and using a 0.025 significance level conduct a t-test
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a)
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