Question

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 H_{o} and H_{1}

b) Find the p-value

Answer #1

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...

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 0.010.01 significance
level for both parts. Male BMI Female BMI muμ mu 1μ1 mu 2μ2 n 4545
4545 x overbarx 28.274128.2741 25.171825.1718 s 7.4101397.410139
4.3731854.373185

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...

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...

Males and females are observed to react differently to a given
set of circumstances. It has been observed that 70% of females
react positively to these circumstances where as 40% of males react
positively. A group of 20 people, 15 females and 5 males, was
subjected to these circumstances, and they were asked to describe
their reactions on a written questionnaire. A response picked at
random was negative. What is the probability that it was of that of
a male?...

Each person in random samples of 207 male and 283 female working
adults living in a certain town in Canada was asked how long, in
minutes, his or her typical daily commute was. (Use a statistical
computer package to calculate the P-value. Use
?males ? ?females. Round
your test statistic to two decimal places, your df down to the
nearest whole number, and your P-value to three decimal
places.)
Males
Females
Sample
size
x
s
Sample
size
x
s
207...

Independent random samples of 11 female and 11 male employees
weekly salaries are given. Use the significance level of 0.10 to
test whether the mean salary for females differs from the mean
salary for males. State the hypotheses and the test used. Also
determine the test statistic.
Females: 350, 420, 470, 385, 675, 520, 540, 400, 550, 450,
640
Males: 410, 460, 650, 545, 720, 810, 660, 500, 880, 700, 750

Exhibit 10-1
Salary information regarding two independent random samples of male
and female employees of a large company is shown below.
Male
Female
Sample size
64
36
Sample mean salary (in $1000s)
44
41
Population variance
128
72
Refer to Exhibit 10-1. At 95% confidence, we have enough
evidence to conclude that the _____.
a.
We fail to reject the null hypothesis; we conclude that the
average average salary of males is at least as much as females.
b.
We reject...

Use a 0.05 significance level to test the claim females and
males have the same mean BMI.
Female BMI
n=70
x̄ =29.10
s= 7.39
Male BMI
n=80
x̄ =28.38
s= 5.37
Critical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 = 1.96,
z0.05 = 1.645
When d.f.=7: t0.005 = 3.499, t0.01 = 2.998, t0.025 = 2.365,
t0.05 = 1.895
When d.f.=69: t0.005 = 2.648, t0.01 = 2.381, t0.025 = 1.994,
t0.05 = 1.667

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