Scores on the math SAT are normally distributed. A sample of 28 SAT scores had a standard deviation $s = 75$. Construct a $99 \%$ confidence interval for the population standard deviation $\sigma$.
A) $55.58

Question

Scores on the math SAT are normally distributed. A sample of 28 SAT scores had a standard deviation $s = 75$. Construct a $99 \%$ confidence interval for the population standard deviation $\sigma$.
A) $55.58 < \sigma < 112.42$
B) $56.87 < \sigma < 108.60$
C) $54.57 < \sigma < 110.40$
D) $55.31 < \sigma < 113.41$

Quizplus · Accepted Answer

The confidence interval for the population standard deviation is calculated using the chi-square distribution. With a sample size of 28 and a standard deviation of 75, the correct interval is $55.31 < \sigma < 113.41$.

Scores on the Math SAT Are Normally Distributed s=75s = 75s=75

Scores on the Math SAT Are Normally Distributed $s = 75$