Question 1 and 2 are related You run a gizmo factory. Over the past year the average output of the factory is 520 gizmos and the standard deviation of that output is 15 units per day.

1. What fraction of sample means from random samples of size n = 36 days fall within 3 gizmos from the population mean?

a 0.8568

b 0.8243

c 0.7926

d0.7698

2 Using the population mean and standard deviation above, in repeated samples of size n = 36, 95% of sample means fall within within _____ gizmos from the population means.

a 3.95

b 4.08

c 4.46

d 4.90