INSTRUCTION: Complete the table below by applying hypothesis testing in problem-solving. 1. A researcher used a developed problem-solving test to randomly select 100 Grade 11 students. In this sample, X = 150 and s = 10. The mean and the standard deviation of the population used in the standardization of the test were 170 and 60 respectively. Use the 95% confidence level to answer the following questions. A. Does the sample mean differ significantly from the population mean? B. Can it be said that the sample is above average? Steps Answer 1. Formulate the hypothesis: the null and alternative hypothesis. 2. Check the assumptions. Is the sample size large enough for the Central Limit Theorem to apply? ● Are the samples selected randomly? 3. Choose a significant level for a. Is the test two-tailed or one-tailed? Get the critical values from the test statistic table, ● Establish critical regions. 4. Select the appropriate test statistic. Compute the test statistic. 5. State the decision rule. 6. Compare the test statistic and the critical value. Based on the decision rule, decide whether to reject or to accept H. ● Interpret the result.
INSTRUCTION: Complete the table below by applying hypothesis testing in problem-solving. 1. A researcher used a developed problem-solving test to randomly select 100 Grade 11 students. In this sample, X = 150 and s = 10. The mean and the standard deviation of the population used in the standardization of the test were 170 and 60 respectively. Use the 95% confidence level to answer the following questions. A. Does the sample mean differ significantly from the population mean? B. Can it be said that the sample is above average? Steps Answer 1. Formulate the hypothesis: the null and alternative hypothesis. 2. Check the assumptions. Is the sample size large enough for the Central Limit Theorem to apply? ● Are the samples selected randomly? 3. Choose a significant level for a. Is the test two-tailed or one-tailed? Get the critical values from the test statistic table, ● Establish critical regions. 4. Select the appropriate test statistic. Compute the test statistic. 5. State the decision rule. 6. Compare the test statistic and the critical value. Based on the decision rule, decide whether to reject or to accept H. ● Interpret the result.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![INSTRUCTION: Complete the table below by applying hypothesis testing in problem-solving.
1. A researcher used a developed problem-solving test to randomly select 100 Grade 11
students. In this sample, X = 150 and s = 10. The mean and the standard deviation of the
population used in the standardization of the test were 170 and 60 respectively. Use the 95%
confidence level to answer the following questions.
A. Does the sample mean differ significantly from the population mean?
B. Can it be said that the sample is above average?
Steps
Answer
1. Formulate the hypothesis: the null and alternative
hypothesis.
2. Check the assumptions.
Is the sample size large enough for the
Central Limit Theorem to apply?
Are the samples selected randomly?
3. Choose a significant level for a.
Is the test two-tailed or one-tailed?
●
Get the critical values from the test statistic
table,
Establish critical regions.
4. Select the appropriate test statistic.
Compute the test statistic.
5. State the decision rule.
6. Compare the test statistic and the critical value.
● Based on the decision rule, decide whether to
reject or to accept H.
● Interpret the result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16a8908a-08f3-4346-93a3-c21ce973cf3c%2F3d1b76fb-88fd-4192-a8d8-7d0eecf58912%2Fkhmrigj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:INSTRUCTION: Complete the table below by applying hypothesis testing in problem-solving.
1. A researcher used a developed problem-solving test to randomly select 100 Grade 11
students. In this sample, X = 150 and s = 10. The mean and the standard deviation of the
population used in the standardization of the test were 170 and 60 respectively. Use the 95%
confidence level to answer the following questions.
A. Does the sample mean differ significantly from the population mean?
B. Can it be said that the sample is above average?
Steps
Answer
1. Formulate the hypothesis: the null and alternative
hypothesis.
2. Check the assumptions.
Is the sample size large enough for the
Central Limit Theorem to apply?
Are the samples selected randomly?
3. Choose a significant level for a.
Is the test two-tailed or one-tailed?
●
Get the critical values from the test statistic
table,
Establish critical regions.
4. Select the appropriate test statistic.
Compute the test statistic.
5. State the decision rule.
6. Compare the test statistic and the critical value.
● Based on the decision rule, decide whether to
reject or to accept H.
● Interpret the result.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman