Question

Fill in the missing information.

Clyde Clement wants to analyze a shipment of bags of cement. He knows the weight of the bags is normally distributed so he can use the standard normal distribution. He measures the weight of 600 randomly selected bags in the shipment. Next, he calculates the mean and standard deviation of their weights. The mean is 50 lbs. and the standard deviation is 1.5 lbs. Clyde uses the normal distribution table to calculate the number of bags in each segment of the distribution.

Answer 1

Case 1 = 82
Case 2 = 205
Case 3 = 205
Case 4 = 82

Hope this helps

Answer 2

Standard deviation Percentage from table Number of bags out of 600

-2 to -1 (47 to 48.5 lbs) 13.6% 82

-1 to 0 (48.5 to 50 lbs) 34.1% 205

0 to +1 (50 to 51.5 lbs) 34.1% 205

+1 to +2 (51.5 to 53 lbs) 13.6% 82

Explanation

standard deviation is 1.5 lbs and mean is 50 lb, then:

mean - 2*standard deviation = 47 lb

mean - 0*standard deviation = 50 lb

mean + 2*standard deviation = 53 lb

0.341*600 = 205

0.136*600 = 82

The percentages are shown in the figure attached.