Question

3. Based on the descriptive statistics, the histogram, and the empirical rule, does it appear that the box weights follow a normal distribution with a symmetrical, bell-shaped curve? Justify your response with your data analysis

Information for the problem:

The expected mean is set at 20.2 ounces for box weights and the expeted standard deviation is .1 ounces. The actual mean is 20.597 and the actual standard deviation is .305. Also, The company sets the weight slightly higher than the weight stated on the package label to avoid fines imposed by government inspectors when packages do not meet minimum weight stated on the box.

The histogram looks like this

Histogram

Answer 1

From the Above histogram of the box weight, it is clear that the distribution of a box weight is a normal distribution.

Since In the histogram the sample are symmetrical around the mean which is 20.597.

The distribution of the data is symmetrical bell shaped curve.