Please make sure the answer is suitable for a probability and statistics university course and has all workings, please do not give me codes.

$($a$)$ A consultant measures the daily protein intake of $20$ young and healthy male adults relative to body surface $(\frac{g}{d}\frac{?}{m^2})$ :$54,44,31,61,39,49,68,62,37,55,57,66,43,58,55,42,53,39,40,48$A mathematician claims that the average daily protein intake of young and healthy male adults relative to body surface is less than $55\frac{g}{d}\frac{?}{m^2}.$ Use a test with significance level $0\mathrm{.}05$ to investigate if the data supports the claim of the mathematician. Show all yourworking. State your conclusion based on your findings.