10. Find the area of the shaded region. The graph to the right depicts IQ scores ofadults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

102 to 132 Shaded

Question content area bottomPart 1

The area of the shaded region is

enter your response here.

(Round to four decimal places asneeded.)

11. A data set lists weights(lb) of plastic discarded by households. The highest weight is5.29lb, the mean of all of the weights isx=1.813lb, and the standard deviation of the weights iss=2.213lb.

a. What is the difference between the weight of

5.29

lb and the mean of theweights?

b. How many standard deviations is that[the difference found in part(a)]?

c. Convert the weight of

5.29

lb to a z score.

d. If we consider weights that convert to z scores between

2

and 2 to be neither significantly low nor significantlyhigh, is the weight of

5.29

lbsignificant?

Question content area bottomPart 1

a. The difference is

enter your response here

lb.

(Type an integer or a decimal. Do notround.)

Part 2

b.The difference is

enter your response here

standard deviations.

(Round to two decimal places asneeded.)

Part 3

c. The z score is

z=enter your response here.

(Round to two decimal places asneeded.)

Part 4

d. The highest weight is

significantly high.

not significant.

significantly low.

12. The body temperatures of a group of healthy adults have abell-shaped distribution with a mean of98.28Fand a standard deviation of0.56F.

Using the empiricalrule, find each approximate percentage below.

a.	What is the approximate percentage of healthy adults with body temperatures within3standard deviationsof themean, or between96.60Fand99.96F?
b.	What is the approximate percentage of healthy adults with body temperatures between97.16Fand99.40F?

Question content area bottomPart 1

a. Approximately

enter your response here%of healthy adults in this group have body temperatureswithin3standard deviationsof themean, or between96.60Fand99.96F.

(Type an integer or a decimal. Do notround.)

Part 2

b. Approximately

enter your response here%of healthy adults in this group have body temperatures between97.16Fand99.40F.

(Type an integer or a decimal. Do notround.)