Question

What is the mean, standard deviation, and sample size?

Short answer

The mean time for each review is$4$ hours and standard deviation is $1.2$ hours and sample size is$16.$

Step-by-step solution

 Given information 

Given in the question that, 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${\rm X}$ be the random variable representing the time it takes her to complete one review. Assume${\rm X}$is normally distributed. Let $\overline{x}$be the random variable representing the mean time to complete the $16$ reviews. Assume that the $16$ reviews represent a random set of reviews.

Explanation

According to the supplied facts, the manager reviews $16$ employees each month. And reviews time is approximately 4 hours for each review with a population standard deviation of $1.2$hours. Thus, the meantime for each review is $4$hours and the standard deviation is$1.2$ hours, and sample size is$16.$

Final answer

The meantime for each review is $4$hours and the standard deviation is $1.2$ hours, and sample size is$16.$