Answer:
0.8413 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 4.00 centimeters
Standard Deviation, σ = 0.60 centimeters
Sample size, n = 16
We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(diameter of sample is more than 3.85 centimeter)
P(x > 3.85)
Calculation the value from standard normal z table, we have,
0.8413 is the probability that the the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.