Math Problem Statement

The data accompanying this exercise show hourly wages (Wage in $) for 50 employees. An economist wants to test if the average hourly wage is less than $28. Assume that the population standard deviation is $7.

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a. Select the null and the alternative hypotheses for the test.

multiple choice 1 H0: μ = 28; HA: μ ≠ 28 H0: μ ≤ 28; HA: μ > 28 H0: μ ≥ 28; HA: μ < 28 Correct

b-1. Find the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

Find b-1

Solution

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
Statistics

Formulas

Test statistic formula for population mean: z = (x̄ - μ) / (σ / √n)

Theorems

Central Limit Theorem
Z-Test for Population Mean

Suitable Grade Level

Undergraduate Level