The Following Data Are Believed to Have Come from a Normal

Essay

The following data are believed to have come from a normal probability distribution. $$\begin{array} { l l l l l l l l l } 26 & 21 & 25 & 20 & 21 & 29 & 26 & 23 & 22 \\24 & 30 & 23 & 32 & 26 & 24 & 32 & 16 & 36 \\21 & 31 & 26 & 23 & 32 & 35 & 40 & 30 & 14 \\46 & 27 & 33 & 25 & 27 & 21 & 26 & 18 & 29\end{array}$$ The mean of this sample equals 26.80, and the standard deviation equals 6.378. Use the goodness-of-fit test at the 5% significance level to test whether the data indeed come from a normal distribution.