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

Multiple Choice

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) $55.31 < \sigma < 113.41$