Question
In: Statistics and Probability
A study was done using a treatment group and a placebo group. The results are shown...
A study was done using a treatment group and a placebo group. 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.
| treatment | Placebo | |
| u | u1 | u2 |
| n | 34 | 31 |
| x | 2.32 | 2.65 |
| s | 0.57 | 0.92 |
1. Test the claim that the two samples are from populations with the same mean.
a. What are the null and alternative hypotheses?
b. The test statistic, t, is __
c. The P-value is __
d. State the conclusion for the test.
2. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
Solutions
orchestra answered 1 year agoRelated Solutions
A study was done using a treatment group and a placebo group. The results are shown...
A study was done using a treatment group and a placebo group.
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 0.10 significance level for both parts. Treatment Placebo mu
mu 1 mu 2 n 32 37 x overbar 2.36 2.67 s 0.51 0.89 a. Test the claim...
A study was done using a treatment group and a placebo group. The results are shown...
A study was done using a treatment group and a placebo group.
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 0.10 significance level for both parts
Treatment
Placebo
μ
μ1
μ2
n
27
40
x
2.38
2.61
s
0.68
0.99
a. Test the claim...
1. A study was done using a treatment group and a placebo group. The results are...
1. A study was done using a treatment group and a placebo group.
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.
Treatment
Placebo
μ
μ1
μ2
n
30
36
x
2.31
2.67
s
0.92
0.65
a. Test the claim that 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. 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 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 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 proctored and nonproctored tests. The results are shown in the table....
A study was done on proctored and nonproctored tests. 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.
The test statistic, t, 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.
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 protected and non protected tests. The results are shown in the...
A study was done on protected and non protected tests. 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.
Protected
Non-protected
μ
μ 1
μ 2
n
30
34
x̅
77.53
81.35
s
10.06
18.26
b. Construct a confidence interval suitable for...
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