The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.4 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 2.74 hours with a standard deviation of 0.25 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: H₁: H Test Statistic t = Or Critical-Value t = ± #v 2.4 Based on the hypotheses, find the following: 2.4 hours hours

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally
distributed with an average time of 2.4 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 2.74 hours with a standard deviation of 0.25 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: M
H₁: P
Based on the hypotheses, find the following:
Test Statistic t =
Critical-Value t = ±
2.4
#v
2.4
o hours
hours
Transcribed Image Text:The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.4 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 2.74 hours with a standard deviation of 0.25 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: M H₁: P Based on the hypotheses, find the following: Test Statistic t = Critical-Value t = ± 2.4 #v 2.4 o hours hours
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