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.

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

Step-by-step explanation:

We are given the following information in the question:

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

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.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: do we write it

step-by-step explanation: