Expand Resonces Hint Suppose Laura, a facilities manager at a health and wellnes

Question

Expand Resonces Hint Suppose Laura, a facilities manager at a health and wellness company, wants to estimate the difference in the average amount of time that men and women spend at the company's fitness centers cach weck Laura randomly selects 13 adult make fitncss center members from the membership database and then selects 13 adult female members from the datahase. Laura gathers data from the past month containing logged time at the fitness center for these membens. She plans to use the data to estimate the diffcrence in the time men and women spend per week at the fitness cenier The sample statistics are summarized in the table Population Population mean Sample Sample mean Sample standard stze (min) r,-1325 deviatlon (min) s, = 45.3 31.1 (unknown) descriptlon male female ?? n1 = 13 df= 21.256 The population standard deviations are unknown and unlikely to he oqual, based on the sample data Laura plans to use the two-sample i-procedures to estimate the difference of the two population mcans,- Fint, compute the estimated standard error, SE., of the difference in the sample means that Laura uses to construct the confidence interval. Provide your answer precise to at least three decimal places SE: Next, compute the margin of errox, m, for the 95% confidence interval for the difference of the population means using software or a table of t-distributions. If you are using software, you may find some software masuals helpful. Provide your answer precisc to at least one decimal place. min

Explanation / Answer

Ans:

Standard error(SE)=sqrt((45.3^2/13)+(31.1^2/13)=15.240 min

critical t value=tinv(0.05,21)=2.080

Margin of error=2.080*15.240=31.7 min

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