A sample of $8$ people participated in a low calorie weight loss program for $16$ weeks. Each of the participants had their weight $($in pounds$)$ recorded before they started the program and after they finished the program. The following results were obtained.

$\backslash$table$[[$Participant$,1,2,3,4,5,6,7,8],[$Weight Before,$187,243,168,203,159,215,230,196],[$Weight After,$172,222,151,175,146,207,206,177]]$

Estimate the mean amount of weight a person participating in this low calorie weight loss program can expect to lose at the end of $16$ weeks. Assume that the amount of weight people lose after $16$ weeks participating in this low calorie weight loss program reasonably follows a normal distribution. Express the estimate both symbolically and verbally.