Question

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: Ho = 50 points HA >50 points 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 where randomly assigns 74 students to take this new SAT program. The difference in scores resulted in an average of 52.0004 points with a standard deviation of 12.9989 points. Step 1 of 2: What is the value of the test statistic for this test? Round your answer to four decimal places. Keypad 1 Point Answer

Answer 1

Answer

STEP 1 of 2

using TI 84 calculator

press stat then tests then TTest

enter the data

Ho 50 52.0004 S 12.9989 n 74 Ho

press calculate,we get

test statistic = 1.3238

p value = 0.0948

STEP 2 of 2

we can see that p value corresponding to the test statistic is greater than 0.05 significance level, which means that the result is not significant

therefore, we failed to reject the null hypothesis that true mean = 50

option D is correct answer