Scores on the math SAT are normally distributed. A sample of 17 SAT scores had standard deviation s=90. Someone says that the scoring system for the SAT is designed so that the population standard deviation will be different than =78. Do these data provide sufficient evidence to contradict this claim? Use the a=0.01 level of significance.

1. State the null and alternate hypotheses.
2. Choose a significance level and find the critical value.
3. Compute the test statistic.
4. Determine whether to reject H0
5. State a conclusion.