Question

According to the National Association of Colleges and Employers, finance graduates make an average of (µ) $52,402 a year. The standard deviation of annual salaries of finance graduates is (σ) $7,000. A random sample of 100 accounting graduates show that the sample mean salary is $54,390.If we were to increase the sample size (n) from 100 to 144, the z score will:A) increase.B) decrease.C) stay the same.D) be zero.

Answer 1

National Association of Colleges and Employers

Therefore, if we were to increase the sample size (n) from 100 to 144, the z score will:

A) increase.

Step-by-step explanation:

a) Data:

Mean (average) (µ) annual earnings of finance graduates = $52,402

Standard deviation of annual salaries of finance graduates (σ) = $7,000

Sample size of accounting graduates (n) = 100

Sample mean salary = $54,390

If sample size were increased to 144, from 100, what happens to the z score will be:

Calculating z score:

z = (x-μ)/σ

= (54,390 - 52,402)/7,000

= 0.284

Example:

= (58,000 - 52,402)/7,000

= 0.8

b) In statistics, as the sample size is increased from 100 to 144, the sample mean, x, ($54,390) and standard deviation ($7,000) will be closer in value to the population mean, μ, ($52,402) and standard deviation, σ.