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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 2.6 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 28 students that took the exam and their mean time was 2.66 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 10% level of significance. Give answers to at least 4 decimal places.

The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.6 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 28 students that took the exam and their mean time was 2.66 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 10% level of significance. Give answers to at least 4 decimal places.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 2.6 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 28 students that took the exam and their mean time was 2.66 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 10% level of significance. Give answers to at least 4 decimal places. What are the correct hypotheses? Ho: Select an answer ✓ H₁: Select an answer ✓ ? V Test Statistic t = ? V Critical-Value t = + Based on the hypotheses, find the following: Shade: Left of a value Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s), then drag shaded area to match your critical value(s). hours ↑ -1 -1.5 hours Click and drag the arrows to adjust the values. 0 2 3 The correct decision is to Select an answer The correct summary would be: Select an answer mean time to complete the SAT has significantly changed from 2.6 hours. that the population
Transcribed Image Text:The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.6 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 28 students that took the exam and their mean time was 2.66 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 10% level of significance. Give answers to at least 4 decimal places. What are the correct hypotheses? Ho: Select an answer ✓ H₁: Select an answer ✓ ? V Test Statistic t = ? V Critical-Value t = + Based on the hypotheses, find the following: Shade: Left of a value Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s), then drag shaded area to match your critical value(s). hours ↑ -1 -1.5 hours Click and drag the arrows to adjust the values. 0 2 3 The correct decision is to Select an answer The correct summary would be: Select an answer mean time to complete the SAT has significantly changed from 2.6 hours. that the population
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