Math Problem Statement

for question ii, is it z-table or t-table?

Solution

For question ii, the appropriate table to use is the t-table. This choice is based on the following factors:

  1. Sample Size: Both sample sizes are relatively small (41 and 30), which generally suggests the use of the t-distribution unless the population standard deviations are known and the sample size is sufficiently large.

  2. Assumption of Unequal Variances: The problem explicitly states that unequal variances are assumed. This is an additional indication that the t-distribution should be used, as it accounts for the variability between the groups.

Therefore, the t-table is the correct choice for determining the critical value and conducting the hypothesis test in this scenario.

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Math Problem Analysis

Mathematical Concepts

Statistics
Hypothesis Testing
T-Distribution

Formulas

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Theorems

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Suitable Grade Level

Advanced High School