The data set represents $5$ experimental trials, each

measuring the thermal conductivity $(k)$ of air over a

range of temperatures $(T).$

a$)$ Using this data and a $99\mathrm{.}7\%$ confidence level, calculate

the mean thermal conductivity at each temperature and

the upper and lower bounds $($i$.$e$.,$ two values, one above

and one below the mean$)$ of the confidence interval.

b$)$ Using a properly formatted scatter plot, show the

mean thermal conductivity vs$.$ temperature with

associated error bars on each marker.