Question

A large corporation employs thousands of people worldwide. The average age of the employees is known to be 45.6 years with a standard deviation of 6.2 years. A simple random sample of 100 of the employees is selected from which the average age is calculated to be 47.2 with a standard deviation of 5.46 years. Which of the following is the value of a parameter? 6.2 47.2 100 None of the above

Answer 1

The only parameter in the options is 6.2 since
`\sigma =6.2` represent the population deviation. 47.2 is an statistic since represent the info from the sample and n =100 is the sample size.

Explanation:

For this case we define the random variable X as the age of the employees and for this case we know the following info:

`\mu = 45.6 , \sigma = 6.2`

The last two value are parameters since represent the info from the population.

We know that they select a sampel of n =100 and they got the following info:

`\bar X = 47.2`

`s= 5.46`

And these values represent statistics since are calculated from a sample size (a portion of the population size).

The only parameter in the options is 6.2 since
`\sigma =6.2` represent the population deviation. 47.2 is an statistic since represent the info from the sample and n =100 is the sample size.