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

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 distributedpopulations, 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
1 2
n 32 39
x 2.37 2.67
s 0.95 0.57

Question content area bottom

Part 1

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

What are the null and alternativehypotheses?

A.

H0:

1=2

H1:

12

Your answer is correct.

B.

H0:

12

H1:

1<2

C.

H0:

1<2

H1:

12

D.

H0:

1=2

H1:

1>2

Part 2

The teststatistic, t, is

negative 1.571.57.

(Round to two decimal places asneeded.)

Part 3

TheP-value is

enter your response here.

(Round to three decimal places asneeded.)

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