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. 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 The number of intervals or categories used to test the hypothesis for this problem is a. 5. b. 6. c. 4. d. 10.

Answer 1

b. 6

Explanation:

The standard deviation is 4.53 approximately 5. The standard deviation tells how far the data is located from the mean.

The total number of observations= 30

So dividing 30/5 gives 6

Hence 6 intervals or categories used to test the hypothesis for this problem

as each category will have a data point in it .

So the best option is b.