Question: A random sample of 20 records showing the results of physical examinations given to young adults hired by a large corporation are examined as part of a research project concerned with employee health. The following are values for maximal breathing capacity as recorded for the 20 employees in the sample:

133 190 138 157 203 110 84 54 33 132

169 166 67 63 108 91 21 187 30 96

( \(\bar{X}=111.6,\,\,\,\,s=56.3\) )

Do these data provide sufficient evidence to allow one to conclude that the population mean is different from 110? Let \(\alpha =0.05\)