Q:

Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. What is the probability a random sample of 36 days would have a mean between 32.6 and 34.6?

Accepted Solution

A:
Answer:P = 0.3462Step-by-step explanation:See attached photo for work.We have a sample mean of 35, a sample standard deviation of 8, and a sample size of 36.  You need to see that the probability of the number of items you can deliver in a day is between 32.6 and 34.6.The answer is 0.3462, so there's about a 34.62% chance that you will deliver an average of 32.6 to 34.6 packages per day.