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Decision and conclusion: The Comrades committee will reject the null hypothesis if t< or if t> and consequently make the conclusion that the average age of males and female: v significantly from each other. do not differ differ Submit part Unanswered (F A 95% confidence interval to support this decision is

Decision and conclusion: The Comrades committee will reject the null hypothesis if t< or if t> and consequently make the conclusion that the average age of males and female: v significantly from each other. do not differ differ Submit part Unanswered (F A 95% confidence interval to support this decision is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The Comrades committee decided to investigate the age (in years) of male and female runners. The descriptive statistics obtained from the two independent samples are recorded in the table below. Male runners Female runners Sample Size nį = 12 n2 = 16 Sample Mean x = 36.08 ī2 = 30.38 Sample Standard s1 = 7.902 s2 = 4.161 Deviation Research question: The Comrades committee would like to investigate whether the average age of male and female runners differ significantly from each other at ar a = 0.05 level of significance. Let: • 41 = average age of male Comrades runners µ2 = average age of female Comrades runners Given: • The age of the male and female runners are normally distributed with unequal variances. • Under the null hypothesis, the test statistic has a t distribution with 15 degrees of freedom, i.e. t~ t15.
Transcribed Image Text:The Comrades committee decided to investigate the age (in years) of male and female runners. The descriptive statistics obtained from the two independent samples are recorded in the table below. Male runners Female runners Sample Size nį = 12 n2 = 16 Sample Mean x = 36.08 ī2 = 30.38 Sample Standard s1 = 7.902 s2 = 4.161 Deviation Research question: The Comrades committee would like to investigate whether the average age of male and female runners differ significantly from each other at ar a = 0.05 level of significance. Let: • 41 = average age of male Comrades runners µ2 = average age of female Comrades runners Given: • The age of the male and female runners are normally distributed with unequal variances. • Under the null hypothesis, the test statistic has a t distribution with 15 degrees of freedom, i.e. t~ t15.
c) Decision and conclusion: The Comrades committee will reject the null hypothesis if or if t > and consequently make the conclusion that the average age of males and female:V significantly from each other. do not differ differ Submit part Unanswered d) A 95% confidence interval to support this decision is ) Round your answers to 4 decimal places.
Transcribed Image Text:c) Decision and conclusion: The Comrades committee will reject the null hypothesis if or if t > and consequently make the conclusion that the average age of males and female:V significantly from each other. do not differ differ Submit part Unanswered d) A 95% confidence interval to support this decision is ) Round your answers to 4 decimal places.
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