**Understanding Critical Values in t-Tests**In hypothesis testing, the critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis. For a t-test, the critical value depends on the significance level (α), degrees of freedom (df), and whether the test is one-tailed or two-tailed.### QuestionWhat is the critical value for a right-tailed t-test with a significance level (α) of 5% and 10 degrees of freedom?### Options1. -3.1692. 2.2283. 1.6454. 1.8125. -1.812### ExplanationTo determine the correct critical value, follow these steps:1. **Identify the significance level**: Here, the significance level (α) is 0.05, or 5%.2. **Determine the degrees of freedom**: There are 10 degrees of freedom in this example.3. **Use a t-distribution table**: You look up the critical value corresponding to a right-tail test with df = 10 and α = 0.05.From the t-distribution table, the critical value for a t-test with 10 degrees of freedom and a right-tail significance level of 0.05 is 1.812.### AnswerThe correct critical value for the given right-tailed t-test is:4. 1.812

Answered: What is the critical value for a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

nstructor-created question Question Help ▼ In a test of the effectiveness of garlic for lowering cholesterol, 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.8 and a standard deviation of 20.8. Use a 0.01 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, critical value, test statistic, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H=0 mg/dL O B. Ho: µ>0 mg/dL H: uz0 mg/dL H1: µ0 mg/dL Use the t-table to determine the critical value. (Round to three decimal places as needed.) Determine the test statistic. |(Round to…
Applying the Empirical Rule A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 53 months and a standard deviation of 10 months. Using the Empirical Rule, what is the approximate percentage of cars that remain in service between 23 and 43 months?Do not enter the percent symbol.
True or False
In a test of hypothesis the p-value was 0.09 . If the level of significance is 5 % . What is the conclusion ? Not enough information Reject the alternative hypothesis Fail to reject the null hypothesis Reject the null hypothesis
Applying the Empirical Rule A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell- shaped and has a mean of 61 months and a standard deviation of 6 months. Using the Empirical Rule, what is the approximate percentage of cars that remain in service between 73 and 79 months? Do not enter the percent symbol.
Can someone please help? Thank you.
Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than u - 20 or greater than u + 20. According to AccuData Media Research, 36% of televisions within the Chicago city limits are tuned to "Eyewitness News" at 5:00 pm on Sunday nights. At 5:00 pm on a given Sunday, 2500 such televisions are randomly selected and checked to determine what is being watched. Would it be unusual to find that 981 of the 2500 televisions are tuned to "Eyewitness News"? Yes O No
Plzzzz explain. Quation.
What is the P-value? Make a final conclusion
True or False A 95% confidence level in a mean number of minutes that it takes for an amublance to arrive after a 911 call is (4.2, 7.4). Then there is 95% chance that a randomly selected emergency will have an ambulance response time between 4.2 and 7.4 minutes.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

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

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

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…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

What is the critical value for a right-tailed t-test with a significance level of 5% and 10 degrees of freedom? -3.169 2.228 1.645 1.812 -1.812