Workers employed in a large service industry have an average wage of $9.00 per hour with a standard deviation of $0.50. The industry has 64 workers of a certain ethnic group. These workers have an average wage of $8.85 per hour. Calculate the probability of obtaining a sample mean less than or equal to $8.85 per hour. (Round your answer to four decimal places.)

The probability of obtaining a sample mean less than or equal to $8.85 per hour=0.0082

Step-by-step explanation:

We are given that

Average wage, $9.00/hour

Standard deviation,$0.50

n=64

We have to find the  probability of obtaining a sample mean less than or equal to $8.85 per hour.

Using the values

Hence, the probability of obtaining a sample mean less than or equal to $8.85 per hour=0.0082

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify