Question

Most students attending Faulkner University are older than the typical college entry age of 18. HRM students tend to be even older than the Faulkner average. Your own class of 17 students has an average age of 31.7, with a standard deviation of 6.7. If the average age of all students attending Faulkner at all campuses is 25.25, is your class significantly older? When I mean significantly older, I mean at the 95% level.

Sample mean of your class’ age = ____

Population mean of all HRM students’ age (μ) = ____

Standard deviation = ____

Sample size (n) = ____

Standard error of the mean = ____

z-score = _____

Is the average age of your HRM class significantly older?     Yes __              No __

Answer 1

Solution:-

Sample mean of your class’ age is 31.7.

Population mean of all HRM students’ age (μ) = 25.25

Standard deviation = 6.70

Sample size (n) = 17

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: u < 25.25
Alternative hypothesis: u > 25.25

Note that these hypotheses constitute a one-tailed test.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample z-test.

Analyze sample data. Using sample data, we compute the standard error (SE), test statistic (z).

SE = s / sqrt(n)

S.E = 1.62499
z = (x - u) / SE

z = 3.97

where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.

The observed sample mean produced a z statistic test statistic of 3.97 .

Thus the P-value in this analysis is less than 0.001.

Interpret results. Since the P-value (almost 0) is less than the significance level (0.05), we have to reject the null hypothesis.

Yes, the average age of your HRM class significantly older.