3. To test the null hypothesis that the population mean is u = Ho with a single sample of size n, we require (say) that n > 30. Our test statistic TS is where 7 is the sample mean and s is the sample standard deviation. The degrees of freedom is dof = n – 1. (a) For a two-tailed test, we may compute ta/2 = ±InwT(a/2, dof) and check that the test-statistic falls in a tail. Or we may instead compute P = 2 + tcdf (|TS|, o, dof) and check that P < a. Suppose our null hypothesis is the population mean is µ = 95, that our sample size is n = 155, and that we find 7 = 99.6 and s = 14.99. i. If we use a two-tailed test, what is our alternative hypothesis: u # 95 ? µ < 95 ? or u > 95 ? ii. What would we conclude if we rejected the null hypothesis with a two-tailed test? iii. Can we reject the null hypothesis at level of significance a = 0.05, using a two-tailed test, using a two-tailed test? iv. Can we reject the null hypothesis at level of significance a = two-tailed test? 0.01, using a two-tailed test, using a
3. To test the null hypothesis that the population mean is u = Ho with a single sample of size n, we require (say) that n > 30. Our test statistic TS is where 7 is the sample mean and s is the sample standard deviation. The degrees of freedom is dof = n – 1. (a) For a two-tailed test, we may compute ta/2 = ±InwT(a/2, dof) and check that the test-statistic falls in a tail. Or we may instead compute P = 2 + tcdf (|TS|, o, dof) and check that P < a. Suppose our null hypothesis is the population mean is µ = 95, that our sample size is n = 155, and that we find 7 = 99.6 and s = 14.99. i. If we use a two-tailed test, what is our alternative hypothesis: u # 95 ? µ < 95 ? or u > 95 ? ii. What would we conclude if we rejected the null hypothesis with a two-tailed test? iii. Can we reject the null hypothesis at level of significance a = 0.05, using a two-tailed test, using a two-tailed test? iv. Can we reject the null hypothesis at level of significance a = two-tailed test? 0.01, using a two-tailed test, using a
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve questions 1 through 4 please
![3. To test the null hypothesis that the population mean is u = Ho with a single sample of size n, we require (say)
that n > 30. Our test statistic TS is
- lo
where a is the sample mean and s is the sample standard deviation. The degrees of freedom is dof = n – 1.
(a) For a two-tailed test, we may compute ta/2 = ±InvT(a/2, dof) and check that the test-statistic falls in
a tail. Or we may instead compute P = 2 * tedf (|TS|, ∞, dof) and check that P < a. Suppose our null
hypothesis is the population mean is u = 95, that our sample size is n = 155, and that we find T = 99.6
and s = 14.99.
i. If we use a two-tailed test, what is our alternative hypothesis: u + 95 ? µ < 95 ? or µ > 95 ?
ii. What would we conclude if we rejected the null hypothesis with a two-tailed test?
iii. Can we reject the null hypothesis at level of significance a = 0.05, using a two-tailed test, using a
two-tailed test?
iv. Can we reject the null hypothesis at level of significance a = 0.01, using a two-tailed test, using a
two-tailed test?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbab8c4cc-63b8-4a18-95bd-f773e5bafac4%2Fa0361407-5c2d-47ff-810e-b972e5e9255e%2Fhxrq2rk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. To test the null hypothesis that the population mean is u = Ho with a single sample of size n, we require (say)
that n > 30. Our test statistic TS is
- lo
where a is the sample mean and s is the sample standard deviation. The degrees of freedom is dof = n – 1.
(a) For a two-tailed test, we may compute ta/2 = ±InvT(a/2, dof) and check that the test-statistic falls in
a tail. Or we may instead compute P = 2 * tedf (|TS|, ∞, dof) and check that P < a. Suppose our null
hypothesis is the population mean is u = 95, that our sample size is n = 155, and that we find T = 99.6
and s = 14.99.
i. If we use a two-tailed test, what is our alternative hypothesis: u + 95 ? µ < 95 ? or µ > 95 ?
ii. What would we conclude if we rejected the null hypothesis with a two-tailed test?
iii. Can we reject the null hypothesis at level of significance a = 0.05, using a two-tailed test, using a
two-tailed test?
iv. Can we reject the null hypothesis at level of significance a = 0.01, using a two-tailed test, using a
two-tailed test?
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