Answer
Plan: Here we have n = 24, x̅ = 62.17, σ = 5.81
We need to ascertain if that the mean number of correct identifications in the population of all young adults in the U.S. is greater than 50. Hence:
$H_{o}: μ = 50$
$H_{a}: μ > 50$
Solve:
$σ_{x̅} = \frac{σ}{\sqrt n} = \frac{5.81}{\sqrt 24} = 1.186$
$t = \frac{x̅ - μ}{σ_{x̅}} = \frac{62.17-50}{1.186} = 10.26$
Using technology, we have p < 0.0001 at 95% confidence level.
Since P < 0.05, we will reject the Null Hypothesis.
Conclude: We conclude that the mean number of correct identifications in the population of all young adults in the U.S. is greater than 50.
Work Step by Step
Given above
