13. A study was conducted to compare the variability in times for men and women

Question

13. A study was conducted to compare the variability in times for men and women involved in collegiate swimming events. Independent random samples of 800-meter freestyle competitors were obtained, and the time (in minutes) was recorded for each swimmer. The data are summarized in the table Group Sample size Sample varianco Men Women 0.101 0.123 Fill in the blanks. (Give your answers to two decimal places.) To construct a 95% confidence interval for the ratio of population variances: 1. The cnitical value left endpoint - 2. The critical value right endpoint is Check Syntax Fill in the blanks. [Give your answers to four decimal places.) A 95% confidence interval for the ratio of population variances is

Explanation / Answer

for 95% confidence interval for population variance at (n1-1=10) df and (n2-1=11) df

critical left end point =0.27

critical right end point =3.53

95% confidence interval = (s1/s2)2*(1/Fleft) ; (s1/s2)2*(1/Fright) =0.2329 ; 3.0094 (try 0.2326 ; 3.0413 due to rounding error if this does not work)

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