Answer
Plan: We will estimate the mean number correct in the population of all young adults in the U.S. .
Solve: Here we have n = 24, x̅ = 62.17, s = 5.81 df = 23 and Confidence Level = 99%
Using Table C of the book we have t* = 2.807
$σ_{x̅} = \frac{σ}{\sqrt n} = \frac{5.81}{\sqrt 24} = 1.186$
Lower Bound = 62.17 - (2.807)(1.186) = 58.84
Upper Bound = 62.17 + (2.807)(1.186) = 65.50
Conclude: We can say with 99% confidence that the mean number correct in the population of all young adults in the U.S is between 58.84 and 65.50
Work Step by Step
Calculate mean and S.D in minitab from basic statistics menu.
