Question

The primary concern is deciding whether the mean of Population 1 differs from the mean of Population 2 .

Short answer

(a) Null hypotheses:$H_0:{\mu }_1={\mu }_2$

Alternate hypotheses:$H_a:{\mu }_1\ne {\mu }_2$

(b) The hypotheses test is two-tailed

Step-by-step solution

Part (a) Step 1: Given information  

Given in the question that, the primary concern is deciding whether the mean of Population 1 differs from the mean of Population 2 .

We need to determine the null and alternative hypotheses.

Part (a) Step 2: Explanation

The main problem in this situation is determining whether the mean of Population 1 differs from the mean of Population 2.

A hypothesis is a testable hypothesis. The hypothesis is tested using a variety of statistical models.

A frequently accepted fact is referred to as a null hypothesis. The null hypotheses are rejected, disproved, or nullified by researchers. The researcher proposes an alternative hypothesis to refute the null hypothesis.

The key focus in the provided scenario is determining if the mean of Population 1 differs from the mean of Population 2 To begin with, it is assumed that the mean of Population 1 is equal to the mean of Population 2. After that, the researcher seeks to disprove the null hypotheses.

Null hypotheses: $H_0:{\mu }_1={\mu }_2$

Alternate hypotheses:$H_a:{\mu }_1\ne {\mu }_2$

Part (b) Step 1: Given information  

Given in the question that, the primary concern is deciding whether the mean of Population 1 differs from the mean of Population 2 .

we need to classify the hypothesis test as two tailed, left tailed, or right tailed.

Part (b) Step 2: Explanation

The main problem in this situation is determining whether the mean of Population 1 differs from the mean of Population 2.

First, it is assumed that Population 1's mean is equal to Population 2's mean. After that, the researcher seeks to disprove the null hypotheses.

Null hypotheses: $H_0:{\mu }_1={\mu }_2$

Alternate hypotheses:$H_a:{\mu }_1\ne {\mu }_2$

The effect of alternate hypothesis testing can be explored in both directions here. The hypotheses test is thus two-tailed.