Answer: EDGE 2020 Quiz
Step-by-step explanation:
1. The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean Mu = 43.8 miles per gallon and standard deviation Sigma = 5.1 miles per gallon. What percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?
A.) 68%
2. What is the mean of the normal distribution shown below?
C.) 4
3. The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000. What is the z-score of a company employee who makes an annual salary of $54,000?
D.) 5
4. The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sigma = 0.2 in. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.?
B.) 68%
5. The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean?
C.) 22°
6. Which statement must be true?
D.) Each distribution has the same mean and a different standard deviation.
7. The heights of a certain type of tree are approximately normally distributed with a mean height Mu = 5 ft and a standard deviation Sigma = 0.4 ft. Which statement must be true?
D.) A tree with a height of 6.2 ft is 3 standard deviations above the mean.
8. What is the difference of the means of the distributions?
A.) 15
9. )The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candies with a z-score of 2?
B.) 18 oz
10. What is the mean of the normal distribution shown below?
B.) 0