Answer:
0.07378
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/√n, where
x is the raw score = 65 inches
μ is the population mean= 64.5 inches
σ is the population standard deviation = 2.99
n = 75
z = 65 - 64.5 /2.99/√75
z = 0.5/0.345255461
z = 1.4482
Probability value from Z-Table:
P(x<25) = 0.92622
P(x>25) = 1 - P(x<25)
= 1 - 92622
= 0.07378
The probability that the mean height for the sample is greater than 65 inches is 0.07378
