Question
In: Statistics and Probability
A study was done on body temperature of men and women. The results are shown in...
A study was done on body temperature 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 . Use a 0.05 significance level for both parts.
Men: mean 1, n=11, x bar= 97.55 degree F, s= 0.87 degree F.
Women: mean 2, n=59, x bar 97.44 degree F, s= 0.72 degree F
(a). test the claim that men have a higher mean body temperature than women
What are the null and alternative hypotheses?
What is the test statistic?
What is the P-value
State the conclusion
(b) construct a confidence interval for testing the claim that men have a higher mean body temperature than women.
Does the confidence interval support the conclusion found with the hypothesis test?
Solutions
orchestra answered 2 years agoRelated Solutions
A study was done on body temperature of men and women. The results are shown in...
A study was done on body temperature 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 . Use a 0.05 significance level for
both parts.
Men: mean 1, n=11, x bar= 97.55 degree F, s= 0.87 degree F.
Women: mean 2, n=59, x bar 97.44 degree F, s= 0.72 degree F
(a)....
A study was done on body temperatures of men and women. The results are shown in...
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. Use a 0.05 significance level for
both parts.
(Women on right, won't let me label header.)
Men
μ
μ1
μ2
n
11
59
x overbar
97.63°F
97.37°F
s
0.95°F
0.74°F
Test the claim that men have...
A study was done on body temperatures of men and women. The results are shown in...
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. Use a
0.01
significance level for both parts.
What are the null and alternative hypotheses?
The test statistic, t, is
(Round to two decimal places as needed.)
The P-value is...
A study was done on body temperatures of men and women. The results are shown in...
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. Use a 0.01 significance level for both parts.
Men
Women
muμ
μ1
μ2
n
11
59
x overbarx
97.59 °F
97.36 °F
s
0.96 °F
0.72 °F
a. Test the...
A study was done on body temperatures of men and women. The results are shown in...
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. Find the t statistic, p-value, and
conclusion on if we reject or fail to reject the null
hypothesis.
Men Women
Mean Mean 1 Mean 2
N 11 59
x 97.52°F 97.46°F
s 0.82°F 0.64°F
a. Use...
A study was done on body temperatures of men and women. The results are shown in...
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.
Use a 0.01 significance level for both parts.
Men
Women
μ
μ1
μ2
n
11
59
x
97.78°F
97.25°F
s
0.97°F
0.66°F
a. Test the claim that men have...
A study was done on body temperatures of men and women. The results are shown in...
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. Use a
0.010.01
significance level for both parts.
Men
Women
muμ
mu 1μ1
mu 2μ2
n
1111
5959
x overbarx
97.6997.69degrees°F
97.2597.25degrees°F
s
0.920.92degrees°F
0.710.71degrees°F
FIND P VALUE
T VALUE...
8. A study was done on body temperatures of men and women. The results are shown...
8. 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.
Use a 0.05 significance level for both parts.
Men
Women
μ
μ1
μ2
n
11
59
x
97.64 F
97.32 F
s
0.94 F
0.72 F
a. what are...
Study was done on body temperatures of men and women. The results are in the table....
Study was done on body temperatures of men and women. The
results are 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.
Mean for men is 1 Mean for women is 2
n for men is 11 n for women is 59
X bar for men is 97.62 degrees F X bar for women is 97.24
degrees F
S for...
Study was done on body temperatures of men and women. The results are in the table....
Study was done on body temperatures of men and women. The
results are 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. Mean for men is 1 Mean for women is
2 n for men is 11 n for women is 59 X bar for men is 97.75 degrees
F X bar for women is 97.49 degrees F S for...
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