Use the following prompt to complete the subquestions 2.a, 2.b, and 2.c An exam prep company states that students who take their prep course improve by an average of 8 points on a post-test as compared to their pre-testscore. Based on the results of a random sample of 16 students who have taken the prep course, you construct a 90% confidence interval for Hd andfind it to be (8.21 points, 11.75 points). Assume the necessary conditions for conducting the confidence interval and hypothesis test are met.Question 2 Subquestions2.aYou wish to test the hypotheses Ho: Hd= 8 points versus Ha: Hd + 8 points. Which of the following are correct statements? Select all that are correct.You would reject the null hypothesis at the 10% level because this confidence interval does not contain 0.You would fail to reject the null hypothesis at the 10% level because this confidence interval does not contain 0.10You would reject the null hypothesis at the 10% level because the interval does not contain 8.You would fail to reject the null hypothesis at the 10% level because the interval does not contain 8.The p-value for the test is more than 0.1.The p-value for the test is less than or equal to 0.1.A mistake has been made as the confidence interval should contain 8 about 90% of the time. 2.bBased on the 90% confidence interval of (8.21, 11.75) points, which of the following are reasonable 95% confidence intervals for the population meandifference in exam scores before and after taking an exam prep course? Select any that may apply.(7.83, 12.13) points(7.53, 11.83) points(8.45, 11.51) points(8.63, 11.33) pointsCannot be determined with the information given.2.cYou may assume that a random sample was selected. You remember that the remaining assumption has something to do with normality. Which of thefollowing is a correct statement of that assumption in context.The population mean difference in exam scores before and after taking an exam prep course follows a normal distribution.The differences in exam scores before and after taking an exam prep course for the population of students follow a normal distribution.The sample of differences in exam scores before and after taking an exam prep course for the 16 students follow a normal distribution.

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An exam prep company states that students who take their prep course improve by an average of 8 points on a post-test as compared to their pre-test score. Based on the results of a random sample of 16 students who have taken the prep course, you construct a 90% confidence interval for µg and find it to be (8.21 points, 11.75 points). Assume the necessary conditions for conducting the confidence interval and hypothesis test are met. Question 2 Subquestions 2.a You wish to test the hypotheses Ho: Ha = 8 points versus Ha: Ha ± 8 points. Which of the following are correct statements? Select all that are correct. You would reject the null hypothesis at the 10% level because this confidence interval does not contain 0. O You would fail to reject the null hypothesis at the 10% level because this confidence interval does not contain 0.10 You would reject the null hypothesis at the 10% level because the interval does not contain 8. O You would fail to reject the null hypothesis at the 10% level because the interval does not contain 8. O The p-value for the test is more than 0.1. O The p-value for the test is less than or equal to 0.1. A mistake has been made as the confidence interval should contain 8 about 90% of the time.

An exam prep company states that students who take their prep course improve by an average of 8 points on a post-test as compared to their pre-test score. Based on the results of a random sample of 16 students who have taken the prep course, you construct a 90% confidence interval for µg and find it to be (8.21 points, 11.75 points). Assume the necessary conditions for conducting the confidence interval and hypothesis test are met. Question 2 Subquestions 2.a You wish to test the hypotheses Ho: Ha = 8 points versus Ha: Ha ± 8 points. Which of the following are correct statements? Select all that are correct. You would reject the null hypothesis at the 10% level because this confidence interval does not contain 0. O You would fail to reject the null hypothesis at the 10% level because this confidence interval does not contain 0.10 You would reject the null hypothesis at the 10% level because the interval does not contain 8. O You would fail to reject the null hypothesis at the 10% level because the interval does not contain 8. O The p-value for the test is more than 0.1. O The p-value for the test is less than or equal to 0.1. A mistake has been made as the confidence interval should contain 8 about 90% of the time.

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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Question

Use the following prompt to complete the subquestions 2.a, 2.b, and 2.c

An exam prep company states that students who take their prep course improve by an average of 8 points on a post-test as compared to their pre-test
score. Based on the results of a random sample of 16 students who have taken the prep course, you construct a 90% confidence interval for Hd and
find it to be (8.21 points, 11.75 points). Assume the necessary conditions for conducting the confidence interval and hypothesis test are met.
Question 2 Subquestions
2.a
You wish to test the hypotheses Ho: Hd
= 8 points versus Ha: Hd + 8 points. Which of the following are correct statements? Select all that are correct.
You would reject the null hypothesis at the 10% level because this confidence interval does not contain 0.
You would fail to reject the null hypothesis at the 10% level because this confidence interval does not contain 0.10
You would reject the null hypothesis at the 10% level because the interval does not contain 8.
You would fail to reject the null hypothesis at the 10% level because the interval does not contain 8.
The p-value for the test is more than 0.1.
The p-value for the test is less than or equal to 0.1.
A mistake has been made as the confidence interval should contain 8 about 90% of the time.

2.b
Based on the 90% confidence interval of (8.21, 11.75) points, which of the following are reasonable 95% confidence intervals for the population mean
difference in exam scores before and after taking an exam prep course? Select any that may apply.
(7.83, 12.13) points
(7.53, 11.83) points
(8.45, 11.51) points
(8.63, 11.33) points
Cannot be determined with the information given.
2.c
You may assume that a random sample was selected. You remember that the remaining assumption has something to do with normality. Which of the
following is a correct statement of that assumption in context.
The population mean difference in exam scores before and after taking an exam prep course follows a normal distribution.
The differences in exam scores before and after taking an exam prep course for the population of students follow a normal distribution.
The sample of differences in exam scores before and after taking an exam prep course for the 16 students follow a normal distribution.

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