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 26 students that took the exam and their mean time was 2.73 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: Select an answer ✓ ? ✓ H₁: Select an answer ✓ ?v Based on the hypotheses, find the following: Test Statistic t = hours Critical-Value t = ± hours 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).

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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 26 students
that took the exam and their mean time was 2.73 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: Select an answer ✓
H₁: Select an answer ✓
Test Statistic t =
? ✓
Critical-Value t = ±
? ✓
hours
Based on the hypotheses, find the following:
hours
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).
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 26 students that took the exam and their mean time was 2.73 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: Select an answer ✓ H₁: Select an answer ✓ Test Statistic t = ? ✓ Critical-Value t = ± ? ✓ hours Based on the hypotheses, find the following: hours 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).
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