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:
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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.
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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
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