A sample of n = 9 scores is selected from a population with μ = 50 and σ = 12.The probability of obtaining a sample mean greater than 46 is p = 0.8413.

Question

Quizplus · Accepted Answer

This statement is true. The probability of obtaining a sample mean greater than 46 (denoted as X̄) can be found by standardizing X̄ using the formula z = (X̄ - μ) / (σ / √n), where μ = 50, σ = 12, and n = 9. Then, we can use a z-table or a calculator to find that the corresponding probability is 0.8413, which is given in the problem statement. Therefore, the statement is true.

A Sample of N = 9 Scores Is Selected from a Population