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. The degrees of freedom is the minimum of n, - 1 and n2 - 1. (Report answer accurate to four decimal places.) p-value - The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... Oreject the null accept the null O fail to reject the null As such, the final conclusion is that...
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. The degrees of freedom is the minimum of n, - 1 and n2 - 1. (Report answer accurate to four decimal places.) p-value - The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... Oreject the null accept the null O fail to reject the null As such, the final conclusion is that...
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
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![**Hypothesis Test for Difference in Population Means (\( \sigma \) Unknown)**
You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.001 \).
\( H_0: \mu_1 = \mu_2 \)
\( H_a: \mu_1 \neq \mu_2 \)
You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal.
You obtain a sample of size \( n_1 = 17 \) with a mean of \( M_1 = 50.4 \) and a standard deviation of \( SD_1 = 18.5 \) from the first population. You obtain a sample of size \( n_2 = 16 \) with a mean of \( M_2 = 36.4 \) and a standard deviation of \( SD_2 = 10.3 \) 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. The degrees of freedom is the minimum of \( n_1 - 1 \) and \( n_2 - 1 \). (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 not equal to the second population mean.
- [ ] There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.
- [ ] The sample data support the claim that the first population mean is not equal to the second population mean.
- [ ] There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c34f4d9-e916-4e51-bbe7-df3a13f5e09c%2F5e066d7e-8987-4804-bce8-5a96993bc146%2F224ijeh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Test for Difference in Population Means (\( \sigma \) Unknown)**
You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.001 \).
\( H_0: \mu_1 = \mu_2 \)
\( H_a: \mu_1 \neq \mu_2 \)
You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal.
You obtain a sample of size \( n_1 = 17 \) with a mean of \( M_1 = 50.4 \) and a standard deviation of \( SD_1 = 18.5 \) from the first population. You obtain a sample of size \( n_2 = 16 \) with a mean of \( M_2 = 36.4 \) and a standard deviation of \( SD_2 = 10.3 \) 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. The degrees of freedom is the minimum of \( n_1 - 1 \) and \( n_2 - 1 \). (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 not equal to the second population mean.
- [ ] There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.
- [ ] The sample data support the claim that the first population mean is not equal to the second population mean.
- [ ] There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.
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