Question

The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.5 hours. Because of school closures due to COVID-19, the College Board offered an at- home test for the 2020 AP Statistics Exam. A teacher feels that students, on average, will have a different completion time for the at-home exam. They take a random sample of 25 students that took the exam and their mean time was 2.68 hours with a standard deviation of 0.35 hours. Test to see if the mean time has significantly changed using a 5% level of significance. Give answers to at least 4 decimal places. What are the correct hypotheses? Ho: Select an answer hours Hy: Select an answer hours Using technology, conduct the hypothesis test and answer the following correctly: The correct decision is to Select an answer The correct summary would be: Select an answer that the population mean time to complete the SAT has significantly changed from 2.5 hours. Question Help: Message instructor Done Select an answer Fail to reject the null hypothesis Accept the alternative hypotheis Accept the null hypothesis Reject the null hypothesis

Answer 1

Given that - n=25 X = 2.68 S = 0.35 x = 0.05 To test the hypothesis, Hoi M = 2.5 Claim ) Hii U +2.5 Test statistics, t=8-4 2.68 -2.5 0.35/J25 0.18 0.07 t=2.57 DF=n-1=24 P-value = p [lt 1>2.57] using t-table, P-value = To.0168 v Decision : Here, P-valete <2=0.05 we Reject the null hypothesis There is not enough evidance to Reject the claim that population mean time to complete the SAT has significantly changed From 2.5 hours -