**Section 10.5.3**Consider the hypothesis test \(H_0: \sigma^2_1 = \sigma^2_2\) against \(H_1: \sigma^2_1 < \sigma^2_2\). Suppose that the sample sizes are \(n_1 = 5\) and \(n_2 = 10\), and that \(s^2_1 = 23.2\) and \(s^2_2 = 28.8\). Use \(\alpha = 0.05\). Test the hypothesis and explain how the test could be conducted with a confidence interval on \(\sigma_1/\sigma_2\).

The question is about hypothesis testing and confidence interval.Given :No. of observations in the…

Answered: 10.5.3 Consider the hypothesis test Ho:…

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

9.1
Two researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 225 observations in the category of interest, and p=225/400 =0.5625. Researcher B gets 227 in the category of interest, and p=227/400 = 0.5675. Complete parts (a) through (e) below. A ... OB. Hypothesis tests that produce similar P-values always have the same conclusion. OC. Hypothesis tests that result in the same conclusion do not necessarily have the same P-value. D. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically significant." d. From part a, part b, and part c, explain why important information is lost by reporting the result of a test as "P-value ≤0.05" versus "P-value > 0.05," or as "reject Ho" versus "Do not reject Ho," instead of reporting the actual P-value.…
Bob selects independent random samples from two populations and obtains the values pi 0.700 and p2 = 0.500. He constructs the 95% confidence interval for p1 – P2 and gets: | 0.200 ± 1.96(0.048) = 0.200 ±0.094. Note that 0.048 is called the estimated standard error of ĝ1 – p2 (the ESE of the estimate). Tom wants to estimate the mean of the success rates: Pi + P2 2 (a) Calculate Tom's point estimate. (b) Given that the estimated standard er- ror of (p1 + P2)/2 is 0.024, calculate the 95% confidence interval estimate of (p1 + p2)/2. Hint: The answer has our usual form: Pt. est. + 1.96 × ESE of the estimate.
The test statistic of z = 2.05 is obtained when testing the claim that p > 0.4. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0?
a. What are the sample estimates of β0,β1,and β2? b. What is the least squares prediction equation? c. FindSSE,MSE,and standard deviation . Interpret the standard deviation in the context of the problem. d. Test H0: β1=0 against Ha: β1≠0.Use α=0.01. e. Use a 95% confidence interval to estimate β2. f. Find R2 and R^2_a and interpret these values. g. Find the test statistic for testing H0: β1=β2=0. h. Find the observed significance level of the test in part g.interpret the result.
A 95% confidence interval for u was given as -5.65 < u < 2.61. What would a test for Ho : µ = 0 vs H1 : µ # 0 conclude? A. reject the null hypothesis at a = 0.05 and all smaller a B. fail to reject the null hypothesis at a = = 0.05 and all smaller a C. reject the null hypothesis at a = 0.05 and all larger a D. fail to reject the null hypothesis at a = - 0.05 and all larger
27. Bob selects independent random samples from two populations and obtains the values î1 0.700 and p2 = 0.500. He constructs the 95% confidence interval for p1 – P2 and gets: 0.200 + 1.96(0.048) = 0.200 ± 0.094. Note that 0.048 is called the estimated standard error of pi – p2 (the ESE of the estimate). Tom wants to estimate the mean of the success rates: Pi +P2 2 (a) Calculate Tom's point estimate. (b) Given that the estimated standard er- ror of (p1 + P2)/2 is 0.024, calculate the 95% confidence interval estimate of (Pi + P2)/2. Hint: The answer has our usual form: Pt. est. +1.96 × ESE of the estimate.
H1.
A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 7.45 and the critical Chi square is 9.488. What may be concluded? Group of answer choices A.reject the null hypothesis, church attendance and marital status are independent B.fail to reject the null hypothesis, church attendance and marital status are independent C.Reject the null hypothesis, church attendance and marital status are dependent D.fail to reject the null hypothesis, church attendance and marital status are dependent
6.2.3 Find the critical value t, for the confidence levelc=0.99 and sample size n= 12. Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.)
b )part?
6.02 Consider X1,..., X100 iid. Obtain a 90% confidence interval for the mean response of X having observed ī = 3.5 and s² = 1.44.

SEE MORE QUESTIONS

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

10.5.3 Consider the hypothesis test Ho: o = o against H₁: o < o2, respectively. Suppose that the sample sizes are n₁ = 5 and n₂ = 10, and that s² = 23.2 and s2 = 28.8. Use a = 0.05. Test the hypothesis and explain how the test could be conducted with a confidence interval on o,/0₂.