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A study was done using a treatment group and a placebo group. The results are sh

ID: 3229789 • Letter: A

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 0.01 significance level for both parts. a. Test the claim that the two Samples are from populations with the same mean. What are the null and alternative hypotheses? H_0:mu_1 notequalto mu_2 H_1: mu_1

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)

Hypothesis test results:

Hence,
a) Option D

t = -1.57

P - value = 0.124

Option A

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -0.35 0.22313968 42.87267 -1.5685242 0.1241
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