Question: A survey finds that a shopper spends, on average, 35 minutes in a store with a standard deviation of 8.3 minutes. Assume a normal distribution.

A survey finds that a shopper spends, on average, 35 minutes in a store with a standard deviation of 8.3 minutes. Assume a normal distribution.

i. Find the probability that a customer spends less than 28 minutes in a store. [2] i

i. Find the probability that a customer spends more than 41 minutes in a store. [2]

iii. If 10 customers are randomly selected, what is the probability that the mean time spent by customers in a store is between 28 and 41 minutes?

Suppose that a university is interested in estimating the yearly income for a person with a bachelor's degree. Thirty people with a bachelor's degree are randomly selected. Assume that the average yearly income is normally distributed. It is found that the average yearly income of 30 people is $65,000 with a sample standard deviation of $20,000.

i. State the point estimate of the average yearly income of a person with a bachelor's degree. [1] ii. Construct a 95% confidence interval for the average yearly income of a person with a bachelor's degree.

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