Asked by Annet Jamrych on Jul 15, 2024

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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

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis; it marks the threshold for significance.

Hypotheses

Proposed explanations or predictions that can be tested through research and experimentation.

  • Determine the correct critical value for hypothesis testing, considering the size of the sample and the stated hypotheses.
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Verified Answer

KP
Katiá PatrickJul 19, 2024
Final Answer :
A
Explanation :
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.