Use the following information to answer the next six exercises also using excel functions for the...

Use the following information to answer the next six exercises also using excel functions for the answers:

Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review. Assume Χ is normally distributed. Let¯¯¯¯¯XX¯ be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.

1. Complete the distributions.

X ~ _____(_____,_____)

X¯ ~ _____(_____,_____)

2. Find the probability that one review will take Yoonie from 3.5 to 4.25 hours. excel functions

P(________ < x < ________) = _______

3. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs. excel functions

4. P(________________) = _______

What causes the probabilities in 3, 4 to be different?

5. Find the 95^th percentile for the mean time to complete one month’s reviews.

95th percentile =

Don't forget to use excel functions to get your answers to recieve full credit

Expert Solution

orchestra answered 1 year ago

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