Chapter 10: Q.10.7 (page 405)

The primary concern is deciding whether the mean of Population 1 is greater than the mean of Population 2

Short Answer

Expert verified

(a) Null hypotheses: $H_{0} : μ_{1} \leq μ_{2}$

Alternate hypotheses: $H_{a} : μ_{1} > μ_{2}$

(b) The hypotheses test has a right-tailed distribution.

Step by step solution

Part (a) Step 1: Given information

Given in the question that, We need to determine the null and alternative hypotheses.

Part (a) Step 2: Explanation

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 concern in the scenario is determining whether Population 1's mean is bigger than Population 2's mean.

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

Null hypotheses: $H_{0} : μ_{1} \leq μ_{2}$

Alternate hypotheses: $H_{a} : μ_{1} > μ_{2}$

Part (b) Step 1: Given information

Given in the question that, we need to classify the hypothesis test as two tailed, left tailed, or right tailed.

Part (b) Step 2: Explanation

The key concern in the scenario is determining whether Population 1's mean is bigger than Population 2's mean.

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

Null hypotheses: $H_{0} : μ_{1} \leq μ_{2}$

Alternate hypotheses: $H_{a} : μ_{1} > μ_{2}$

Alternate hypotheses can be tested from the right side of the normal distribution curve. As a result, the hypotheses test has a right-tailed distribution.