David Desreumaux, VP of Human Resources of Maritime Boat Manufacturing (MBM), is reviewing the employee training programs of MBM factories.Based on a recent census of personnel, David knows that the variance of worker training time in New Brunswick is 8, and he wonders if the variance in Nova Scotia is the same number.His staff randomly selected personnel files for 15 workers in Nova Scotia, and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that worker training time is normally distributed in the population.Using $\alpha$ = 0.10, the observed value of chi-square is ___.
A)28.00
B)30.00
C)56.00
D)60.00
E)65.00

Question

Quizplus · Accepted Answer

The observed value of chi-square is calculated using the formula: $\chi^2 = \frac{(n-1)s^2}{\sigma^2}$, where $n$ is the sample size, $s^2$ is the sample variance, and $\sigma^2$ is the population variance. Here, $n = 15$, $s^2 = 4^2 = 16$, and $\sigma^2 = 8$. Thus, $\chi^2 = \frac{(15-1) \times 16}{8} = \frac{14 \times 16}{8} = 28.00$.

David Desreumaux, VP of Human Resources of Maritime Boat Manufacturing α\alphaα

David Desreumaux, VP of Human Resources of Maritime Boat Manufacturing $\alpha$