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An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference Before 82.333 110.118 18 0.727 0 17 After 74.944 199.820 18 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? Pick Is the two-sample hypothesis test a paired t-test or an unpaired t-test? Pick What is the level of significance? df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level What is the null hypothesis? Ho: after Pick What is the alternative hypothesis? Ha: Mafter Pick Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick before before Ex: 0.12 evidence exists to support the claim that the mean time spent taking a test after tutoring is less than the mean time spent taking a test before tutoring.

An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference Before 82.333 110.118 18 0.727 0 17 After 74.944 199.820 18 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? Pick Is the two-sample hypothesis test a paired t-test or an unpaired t-test? Pick What is the level of significance? df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level What is the null hypothesis? Ho: after Pick What is the alternative hypothesis? Ha: Mafter Pick Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick before before Ex: 0.12 evidence exists to support the claim that the mean time spent taking a test after tutoring is less than the mean time spent taking a test before tutoring.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level Before After 82.333 74.944 110.118 199.820 18 0.727 18 0 17 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? Pick Is the two-sample hypothesis test a paired t-test or an unpaired t-test? Pick What is the level of significance? Ex: 0.12 What is the null hypothesis? Ho: Mafter What is the alternative hypothesis? Ha : : Pafter Should Ho be rejected or does Ho fail to be rejected? Pick Pick V before What conclusion can be drawn from the data? Pick Pick Mbefore evidence exists to support the claim that the mean time spent taking a test after tutoring is less than the mean time spent taking a test before tutoring.
Transcribed Image Text:An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level Before After 82.333 74.944 110.118 199.820 18 0.727 18 0 17 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? Pick Is the two-sample hypothesis test a paired t-test or an unpaired t-test? Pick What is the level of significance? Ex: 0.12 What is the null hypothesis? Ho: Mafter What is the alternative hypothesis? Ha : : Pafter Should Ho be rejected or does Ho fail to be rejected? Pick Pick V before What conclusion can be drawn from the data? Pick Pick Mbefore evidence exists to support the claim that the mean time spent taking a test after tutoring is less than the mean time spent taking a test before tutoring.
An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level Before After 82.333 74.944 110.118 199.820 18 18 0.727 0 17 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? ✓ Pick The difference in the sample sizes The difference in the two sample means The mean time spent for all test-takers before and after tutoring The mean time spent for all test-takers from before and after tutoring combined What is the null hypothesis? Ho: after Pick before What is the alternative hypothesis? Ha : Mafter Pick Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick before ✓ evidence exists to support the claim that the mean time spent taking a test after tutoring is less than the mean time spent taking a test before tutoring.
Transcribed Image Text:An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level Before After 82.333 74.944 110.118 199.820 18 18 0.727 0 17 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? ✓ Pick The difference in the sample sizes The difference in the two sample means The mean time spent for all test-takers before and after tutoring The mean time spent for all test-takers from before and after tutoring combined What is the null hypothesis? Ho: after Pick before What is the alternative hypothesis? Ha : Mafter Pick Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick before ✓ evidence exists to support the claim that the mean time spent taking a test after tutoring is less than the mean time spent taking a test before tutoring.
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