AP Statistics: z-score HW Name:
Date:
1.
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with mean 7.6 oz and standard deviation of 0.4 oz. a.
Estimate the probability that the machine will over flow an 8-oz cup. b.
Estimate the probability that the machine will not over flow an 8-oz cup. c.
The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
2.
A married couple is employed by the same company. The husband works in a department for which the mean hourly rate is $12.80 and the standard deviation is $1.20. His wife is employed in a department where the mean rate is $13.50 and the standard deviation is $1.80. Both department salaries are normally distributed.
 Relative to their departments, which is better paid if the husband earns
$14.60 and the wife earns $15.75?
 What percentile is the husband located in his department?
 What percent of employees in the wife’s department earn better than her?
 What would the wife need to earn to match her husband’s relative position?
 If the husband wanted to earn in the 95 th percentile, how much should he earn per hour?
AP Statistics: z-score HW Name:
Date:
1.
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with mean 7.6 oz and standard deviation of 0.4 oz. a.
Estimate the probability that the machine will over flow an 8-oz cup. b.
Estimate the probability that the machine will not over flow an 8-oz cup. c.
The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
2.
A married couple is employed by the same company. The husband works in a department for which the mean hourly rate is $12.80 and the standard deviation is $1.20. His wife is employed in a department where the mean rate is $13.50 and the standard deviation is $1.80. Both department salaries are normally distributed.
 Relative to their departments, which is better paid if the husband earns
$14.60 and the wife earns $15.75?
 What percentile is the husband located in his department?
 What percent of employees in the wife’s department earn better than her?
 What would the wife need to earn to match her husband’s relative position?
 If the husband wanted to earn in the 95 th percentile, how much should he earn per hour?