A researcher states the following hypotheses: H₀: μCity1 = μCity2 and H₁: μCity1 μCity2. Assuming she collects data from 30 people who live in city 1 and 30 people who live in city 2, what is the appropriate critical value? A) 1.672 B) 1.700 C) 1.960 D) 2.002

Question

A researcher states the following hypotheses: H₀: μCity1 = μCity2 and H₁: μCity1 > μCity2. Assuming she collects data from 30 people who live in city 1 and 30 people who live in city 2, what is the appropriate critical value? A) 1.672 B) 1.700 C) 1.960 D) 2.002

Quizplus · Accepted Answer

The appropriate critical value for a one-tailed test (since the hypothesis is μCity1 > μCity2) with a sample size of 30 from each city (total n = 60) and assuming an alpha level of 0.05 is 1.672. This is because with a total sample size of 60, the degrees of freedom (df) would be 58 (n1 + n2 - 2), and for a one-tailed test at the 0.05 significance level, the critical value from the t-distribution table approximates to 1.672.

A Researcher States the Following Hypotheses: H0: μCity1 = μCity2

A Researcher States the Following Hypotheses: H₀: μCity1 = μCity2