You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho:H1 = H2 Ha:H1 > 42 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size ni = 25 with a mean of M1 = 52.5 and a standard deviation of SD = 9.1 from the first population. You obtain a sample of size n2 = 18 with a mean of M2 = 48.7 and a standard deviation of SD2 = 5.2 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O The sample data support the claim that the first population mean is greater than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho:H1 = H2 Ha:H1 > 42 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size ni = 25 with a mean of M1 = 52.5 and a standard deviation of SD = 9.1 from the first population. You obtain a sample of size n2 = 18 with a mean of M2 = 48.7 and a standard deviation of SD2 = 5.2 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O The sample data support the claim that the first population mean is greater than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
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
![You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\).
\[ H_0: \mu_1 = \mu_2 \]
\[ H_a: \mu_1 > \mu_2 \]
You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size \(n_1 = 25\) with a mean of \(M_1 = 52.5\) and a standard deviation of \(SD_1 = 9.1\) from the first population. You obtain a sample of size \(n_2 = 18\) with a mean of \(M_2 = 48.7\) and a standard deviation of \(SD_2 = 5.2\) from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
Test statistic = __________
What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.)
P-value = __________
The p-value is...
- ☐ less than (or equal to) \(\alpha\)
- ☐ greater than \(\alpha\)
This test statistic leads to a decision to...
- ☐ reject the null
- ☐ accept the null
- ☐ fail to reject the null
As such, the final conclusion is that...
- ☐ There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
- ☐ There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
- ☐ The sample data support the claim that the first population mean is greater than the second population mean.
- ☐ There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48d1d588-7e5f-46b8-a214-79b90b01475d%2Fcec7d257-fd03-4471-9d03-ff8394c6c855%2Fe6fzsgf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\).
\[ H_0: \mu_1 = \mu_2 \]
\[ H_a: \mu_1 > \mu_2 \]
You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size \(n_1 = 25\) with a mean of \(M_1 = 52.5\) and a standard deviation of \(SD_1 = 9.1\) from the first population. You obtain a sample of size \(n_2 = 18\) with a mean of \(M_2 = 48.7\) and a standard deviation of \(SD_2 = 5.2\) from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
Test statistic = __________
What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.)
P-value = __________
The p-value is...
- ☐ less than (or equal to) \(\alpha\)
- ☐ greater than \(\alpha\)
This test statistic leads to a decision to...
- ☐ reject the null
- ☐ accept the null
- ☐ fail to reject the null
As such, the final conclusion is that...
- ☐ There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
- ☐ There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
- ☐ The sample data support the claim that the first population mean is greater than the second population mean.
- ☐ There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
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