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 number of intervals or categories used to test the hypothesis for this problem is
A) 4.
B) 5.
C) 6.
D) 10.

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 number of intervals or categories used to test the hypothesis for this problem is
A) 4.
B) 5.
C) 6.
D) 10.

Quizplus · Accepted Answer

The number of intervals or categories is typically determined using the square root of the sample size, which is approximately 5.5. Rounding to the nearest whole number gives 6 intervals.

You Want to Test Whether or Not the Following Sample