Question

# A high school principle currently encourages students to enroll in a specific SAT prep program that...

A high school principle currently encourages students to enroll in a specific SAT prep program that has a reputation of improving score by 50 points on average. A new SAT prep program has been released and claims to be better than their current program. The principle is thinking of advertising this new program to students if there is enough evidence at the 5% level that their claim is true. The principle tests the following hypotheses:

H0:μ=50 points HA:μ>50 points

where μ is the true mean in difference of scores after the new SAT prep course is taken and before the new SAT prep course is taken. He randomly assigns 79 students to take this new SAT program. The difference in scores resulted in an average of 50.2657 points with a standard deviation of 13.002 points.

Step 1 of 2:

What is the value of the test statistic for this test? Round your answer to four decimal places.

Step 2 of 2:

What is your decision regarding the null hypothesis?

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