Question

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	29

40

x overbar

2.34

2.69

s	0.82

0.52

a. Test the claim that the two samples are from populations with the same mean.

What are the null and alternative​ hypotheses?

A.

Upper H 0

​:

mu 1

equalsmu 2

Upper H 1

​:

mu 1

not equalsmu 2

B.

Upper H 0

​:

mu 1

not equalsmu 2

Upper H 1

​:

mu 1

less thanmu 2

C.

Upper H 0

​:

mu 1

less thanmu 2

Upper H 1

​:

mu 1

greater than or equalsmu 2

D.

Upper H 0

​:

mu 1

equalsmu 2

Upper H 1

​:

mu 1

greater thanmu 2

The test​ statistic, t, is

nothing

.

​(Round to two decimal places as​ needed.)

The​ P-value is

nothing

.

​(Round to three decimal places as​ needed.)

State the conclusion for the test.

A.

Reject

the null hypothesis. There

is

sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.

B.

Fail to reject

the null hypothesis. There

is not

sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.

C.

Fail to reject

the null hypothesis. There

is

sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.

D.

Reject

the null hypothesis. There

is not

sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.

b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

nothing

less thanmu 1 minus mu 2less thannothing

​(Round to three decimal places as​ needed.)

Click to select your answer(s).

Answer 1