A random sample of second-round gold scores from a major tournament is listed below. At $\alpha = 0.10$, is there sufficient evidence to conclude that the population variance exceeds
$\begin{array}{llll}
\hline 74 & 82 & 76 & 74 \
78 & 77 & 81 & 82 \
74 & 75 & & \
\hline
\end{array}$

A) There is not enough information to draw a conclusion.
B) No. There is not enough evidence to support the claim that the variance exceeds 9.
C) Yes. There enough evidence to support the claim that the variance exceeds 9.

Question

A random sample of second-round gold scores from a major tournament is listed below. At $\alpha = 0.10$, is there sufficient evidence to conclude that the population variance exceeds
$\begin{array}{llll}
\hline 74 & 82 & 76 & 74 \
78 & 77 & 81 & 82 \
74 & 75 & & \
\hline
\end{array}$

A) There is not enough information to draw a conclusion.
B) No. There is not enough evidence to support the claim that the variance exceeds 9.
C) Yes. There enough evidence to support the claim that the variance exceeds 9.

Quizplus · Accepted Answer

To determine if there is sufficient evidence that the population variance exceeds 9, we perform a chi-square test for variance. Calculating the sample variance and comparing it to the hypothesized variance (9 in this case) using the chi-square distribution and the given alpha level of 0.10, we find that the evidence does not strongly support the claim that the population variance exceeds 9. This conclusion is based on the calculated chi-square statistic and the critical value from the chi-square distribution table.

A Random Sample of Second-Round Gold Scores from a Major α=0.10\alpha = 0.10α=0.10

A Random Sample of Second-Round Gold Scores from a Major $\alpha = 0.10$