$25$ points$)$ Effect Size A statistic to measure the effect size is defined for a sample as

x$/$s $,$ where

$$ x is the sample mean. $$ s is the sample standard deviation.

This statistic measures mean relative to standard deviation, and is large when the mean is

large and standard deviation is small.

Work with the golub data set.

$($a$)$ Compute the effect size for the expression values of the gene with gene name

$$MSN Moesin$$

using every patient in the golub data. Hint: Use grep$()$ to find the correct row.

$($b$)$ Compute the effect size for the expression values of the first $2000$ genes using AML patients in the golub data.

$($c$)$ Create a histogram of the effect sizes in part $($b$).$

$($d$)$ Give the $3$ largest effect sizes found in $($b$)$ and the gene names $($found in the second

column of golub.gnames$)$ for the $3$ largest effect sizes