Math Problem Statement

Estimate the 80% confidence interval of the population mean effective period of action for a certain tranquilizer which gave the following results when administered to eight patients:

Mean: 1.5 hours

Standard deviation: 0.3 hours

  1. The critical value of t in this case is =

  2. The maximum tolerated error on the population mean effective period of action (rounded off to 2 decimal places) is =

  3. The 95% confidence interval of the population mean effective period of action (rounded off to 2 decimal places) and written in the format a to b is =

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Confidence Intervals
T-distribution

Formulas

Margin of Error formula
Confidence Interval formula

Theorems

Central Limit Theorem

Suitable Grade Level

Undergraduate level