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.

a. test the claim that the two samples are from populations with the same mean. what are the null and alternative hypotheses?

Explanation:

Step1: Understand the null hypothesis concept

The null hypothesis \(H_0\) is a statement of equality. For testing the claim that two populations have the same mean, the null hypothesis is \(H_0:\mu_1 = \mu_2\).

Step2: Analyze the alternative hypothesis

The alternative hypothesis \(H_1\) is the claim we are trying to find evidence for. Since we are just testing if the means are different (not a one - sided claim of greater than or less than), the alternative hypothesis is \(H_1:\mu_1
eq\mu_2\).

Answer:

C. \(H_0:\mu_1 = \mu_2\), \(H_1:\mu_1
eq\mu_2\)