## Hypothesis Testing for Variances### Problem StatementTest the hypothesis that \( \sigma_1 > \sigma_2 \) at the \( \alpha = 0.01 \) level of significance for the given sample data.### Sample DataThe sample data for two populations is provided in the following table:| | Population 1 | Population 2 ||----------|--------------|--------------|| **n** | 61 | 31 || **s** | 34.4 | 27.6 |### Hypothesis TestingWe are testing the hypothesis \( H_0: \sigma_1 \le \sigma_2 \) against the alternative hypothesis \( H_1: \sigma_1 > \sigma_2 \). The test statistic for comparing two variances is the F-statistic.### Decision CriteriaCalculate the F-statistic and compare it with the critical value from the F-distribution table at the \( \alpha = 0.01 \) significance level.### Options for the Test Statistic and Critical Value- \( \circ \) Test statistic: \( F = 1.25 \). Critical value = 2.21. Do not reject \( H_0 \).- \( \circ \) Test statistic: \( F = 1.55 \). Critical value = 2.03. Reject \( H_0 \).- \( \circ \) Test statistic: \( F = 1.55 \). Critical value = 2.21. Do not reject \( H_0 \).- \( \circ \) Test statistic: \( F = 42.88 \). Critical value = 2.03. Reject \( H_0 \).Make sure to select the correct F-statistic and corresponding critical value, and then apply the decision rule to determine whether to reject or not reject the null hypothesis \( H_0 \).

Name: ## Hypothesis Testing for Variances### Problem StatementTest the hypo
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Description: ## Hypothesis Testing for Variances### Problem StatementTest the hypothesis that \( \sigma_1 > \sigma_2 \) at the \( \alpha = 0.01 \) level of significance for the given sample data.### Sample DataThe sample data for two populations is provided in t

The critical value from F distribution table at right tail test at n1-1 , n2-1 degree of freedom…

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est the hypothesis that o1 > 02 at the a = 0.01 level of significance for the giv Population 1 Population 2 %3D 61 31 34.4 27.6 D Test statistic: F = 1.25. Critical value 2.21. Do not reject Hg. %3D %3D O Test statistic: F = 1.55. Critical value = 2.03. Reject Ho- %3D O Test statistic: F = 1.55. Critical value = 2.21. Do not reject Ho. Tart statistic:- F = 42. 88. Critical value = 2.03. Reject Ho-

est the hypothesis that o1 > 02 at the a = 0.01 level of significance for the giv Population 1 Population 2 %3D 61 31 34.4 27.6 D Test statistic: F = 1.25. Critical value 2.21. Do not reject Hg. %3D %3D O Test statistic: F = 1.55. Critical value = 2.03. Reject Ho- %3D O Test statistic: F = 1.55. Critical value = 2.21. Do not reject Ho. Tart statistic:- F = 42. 88. Critical value = 2.03. Reject Ho-

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Please fill out the last box using the data provided (Hypothesis test)
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pleaseee sir solve question 24
AutoSave Off Ch13 60v13_10e (1) - File Home Insert Draw Page Layout Formulas Data Review View à From Text/CSV là Recent Sources T Queries & Connections là From Web LA Existing Connections Properties Get Refresh Data A From Table/Range All - A Edit Links Get & Transform Data Queries & Connections v X v fx H19 C D F ANOVA table 2 Source SS df MS 3 Regression 4 Residual 5 Total 1870.5782 1 1870.5782 41.39 1265.4934 28 45.1962 3136.0716 29 6. 7 8 Regression output 9 Variables 10 Intercept Coefficients Std. Error t(df=28) 13.76015 3.106 2.914 11 Distance-X 3.77085 7.977 6.427 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
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