You want to test whether or not the following sample of 30 observations follows a normal distribution.The mean of the sample equals 11.83 and the standard deviation equals 4.53. $$\begin{array} { l l l l l l l l l l }
2 & 3 & 5 & 5 & 7 & 8 & 8 & 9 & 9 & 10 \
11 & 11 & 12 & 12 & 12 & 12 & 13 & 13 & 13 & 14 \
15 & 15 & 15 & 16 & 16 & 17 & 17 & 18 & 18 & 19
\end{array}$$ The p-value is
A) greater than .1.
B) between .05 and .1.
C) between .025 and .05.
D) less than .005.

Question

You want to test whether or not the following sample of 30 observations follows a normal distribution.The mean of the sample equals 11.83 and the standard deviation equals 4.53. $$\begin{array} { l l l l l l l l l l } 
2 & 3 & 5 & 5 & 7 & 8 & 8 & 9 & 9 & 10 \
11 & 11 & 12 & 12 & 12 & 12 & 13 & 13 & 13 & 14 \
15 & 15 & 15 & 16 & 16 & 17 & 17 & 18 & 18 & 19
\end{array}$$  The p-value is
A) greater than .1.
B) between .05 and .1.
C) between .025 and .05.
D) less than .005.

Quizplus · Accepted Answer

The sample size is 30, and the data appears to be symmetrically distributed around the mean. A normality test, such as the Shapiro-Wilk test, would likely yield a p-value greater than 0.1, indicating that the sample does not significantly deviate from a normal distribution.

You Want to Test Whether or Not the Following Sample