### Hypothesis Tests for the Difference Between Two Population MeansAn 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.| | Before | After ||-----------------|-----------|-----------|| Mean | 79.278 | 75.556 || Variance | 126.448 | 755.203 || Observations | 18 | 18 || Pearson Correlation | 0.521 | || Hypothesized Mean Difference | | 0 || df | | 17 || t Stat | | 1.438 || P(T<=t) one-tail| | 0.084 || t Critical one-tail | | 1.740 || P(T<=t) two-tail| | 0.169 || t Critical two-tail | | 2.110 || Confidence Level| | 95% |### Key Questions:1. **What are the population parameters?**2. **Is the two-sample hypothesis test a paired \( t \)-test or an unpaired \( t \)-test?**3. **What is the level of significance?** (Example: 0.12)4. **What is the null hypothesis \( H_0 \)?**5. **What is the alternative hypothesis \( H_a \)?**6. **Should \( H_0 \) be rejected or does \( H_0 \) fail to be rejected?**7. **What conclusion can be drawn from the data?**### Possible Answers:1. **Population Parameters: Select from the drop-down menu.**2. **Type of \( t \)-test: Select either paired or unpaired from the drop-down menu.**3. **Level of Significance: Input the value (Example: 0.12).**4. **Null Hypothesis \( H_0 \)** - [Select option]5. **Alternative Hypothesis \( H_a \)** - [Select option]6. **Decision on \( H_0 \)

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. What are the population parameters? Mean Variance Before After 79.278 75.556 126.448 125.203 18 0.521 Observations 18 Pick Pearson Correlation Hypothesized Mean Difference 0 Is the two-sample hypothesis test a paired t-test or an unpaired t-test? df 17 t Stat -1.438 P(T

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. What are the population parameters? Mean Variance Before After 79.278 75.556 126.448 125.203 18 0.521 Observations 18 Pick Pearson Correlation Hypothesized Mean Difference 0 Is the two-sample hypothesis test a paired t-test or an unpaired t-test? df 17 t Stat -1.438 P(T

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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