Question

The primary concern for performing a hypothesis test to compare the​ means, mu1 and mu2​, of two populations is deciding whether the mean of Population 1 differs from the mean of Population 2. a. Determine the null and alternative hypotheses.​ Note: Always place the mean of Population 1 on the left. b. Classify the hypothesis test as​ two-tailed, left-tailed, or​ right-tailed.

Answer 1

The null and alternative hypothesis are designed below. We use Two-tailed t-test to perform this hypothesis.

Explanation:

We are given the following information in the question:

• The primary concern for performing a hypothesis test to compare the​ means,
  `\mu_1, \mu_2`
• Hypothesis test help us to decide whether the mean of Population 1 differs from the mean of Population 2.

The two tailed-sample t-test is used to determine if two population means are equal and helps us to compare the means.

a) The null and the alternate hypothesis can be designed as

`H_(0): \mu_1 = \mu_2\\H_A: \mu_1 \\eq \mu_2`

The null hypothesis states that the mean of population 1 is equal to the mean of population 2.

The alternative hypothesis states that mean of population 1 is not equal to the mean of population 2.

b) We use Two-tailed t-test to perform this hypothesis.