Question: Scores on the math SAT are normally distributed. A sample of 20 SAT scores had standard deviation s = 87. a. Construct a 98% confidence

Scores on the math SAT are normally distributed.

A sample of 20 SAT scores had standard deviation s = 87.

a. Construct a 98% confidence interval for the population standard deviation σ.

b. Someone says that the scoring system for the SAT is designed so that the population standard deviation will be σ = 100.

Does this confidence interval contradict this claim?

Explain.

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