(Solved): A sample tested the claim that heights of men and heights of women have difference variances, with ...

A sample tested the claim that heights of men and heights of women have difference variances, with \( s=7.47226 \mathrm{~cm} \) for women and \( 7.10948 \mathrm{~cm} \) for men. The sample sizes are \( n_{1}=141 \) and \( n_{2}=159 \). When using the \( F \) test with these data, is it correct to reason that there is no need to chock for normallity because \( n_{1}>30 \) and \( n_{2}>30 ? \) Choose the correct answer below. A. No There is no need to check for normalty as long as \( n_{1}, 210 \) and \( n_{2} 210 \). B. No. The \( \mathrm{F} \) test has a requirement that samples be from normally ciatributed populations, regardiess of how lapge the samples are. c. Yes. The \( \mathrm{F} \) test has a requitement that sampios be from normaty dihtintuted populions, but thia requirement can be lgnored fer large samples (in, and \( n_{2} \) greater than 30) D. No. There is no need to check for nocmality regerdless of the sample ske. There is no normality requirement for the \( F \) fest.