A human resources manager for a large company takes a random sample of 50 employees from the company database. She calculates the mean time that they have been employed. She records this value and then repeats the process: She takes another random sample of 50 names and calculates the mean employment time. After she has done this 1000 times, she makes a histogram of the mean employment times. Is this histogram a display of the population distribution, the distribution of a sample, or the sampling distribution of means?

Question

Adalynn Preston

Mathematics

3 September, 21:57

A human resources manager for a large company takes a random sample of 50 employees from the company database. She calculates the mean time that they have been employed. She records this value and then repeats the process: She takes another random sample of 50 names and calculates the mean employment time. After she has done this 1000 times, she makes a histogram of the mean employment times. Is this histogram a display of the population distribution, the distribution of a sample, or the sampling distribution of means?

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Josephine Garza · Answer 1

The histogram is a display of the sampling distribution of means.

Step-by-step explanation:

A human resources manager takes a random sample of 50 employees from the company database and calculates the mean time that they have been employed and records the values.

Now she takes another random sample of 50 names and calculates the mean employment time. After repeating this 1000 times, she makes a histogram of the mean employment times.

She is calculating the means again and again.

So, this histogram will be a display of the sampling distribution of means.