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# The national mean SAT score in math is 550. Suppose a high school principal claims that the mean SAT score in math

at his school is better than the national mean score. A random sample of 72 students finds a mean score of 574. Assume that the population standard deviation is σ

=100 .Is the principal's claim valid? Use a level of significance of α=0.05.

State the null and alternative hypotheses. (Part1)

A) H0: The students' mean SAT score is greater than 550.

Ha: The students' mean SAT score is 574.

B) H0: The students' mean SAT score is 550.

Ha: The students' mean SAT score is 574.

C) H0: The students' mean SAT score is greater than 550.

Ha: The students' mean SAT score is 550.

D) H0: The students' mean SAT score is 550.

Ha:The students' mean SAT score is greater than 550.

(Part 2)

test statistic for this analysis= 2.036

P-value based on the test statistic.= 0.021

State your decision based on the P-value and the level of significance (α

=0.05) and give your conclusion in an English sentence.

A) Reject the null hypothesis. There is insufficient evidence to suggest that the students' mean SAT score is greater than 550. The principal was right.

B) Reject the null hypothesis. There is sufficient evidence to suggest that the students' mean SAT score is greater than 550. The principal was right.

C) Fail to reject the null hypothesis. There is insufficient evidence to suggest that the students' mean SAT score is greater than 550. The principal was wrong.

D) Fail to reject the null hypothesis. There is sufficient evidence to suggest that the students' mean SAT score is greater than 550. The principal was wrong.

(A) H0: The students' mean SAT score is 550. Ha:The students' mean SAT score is... View the full answer

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