Ap Statistics Semester Exam Review Worksheets With Answer Key Page 3
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9Chapter Two:
The lengths of time (in hours) an incandescent light bulb can stay lit solidly are normally distributed, with a
mean of 62 hours and a standard deviation of 4.4 hours. Use this information to answer questions #16-20.
16. What percent of light bulbs can last within one standard deviation of the mean, between 57.6 hours
and 66.4 hours?
17. A company considers a bulb defective if it can only last 50 hours straight. What portion of light bulbs
would this company consider defective?
18. An energy-efficient bulb can stay lit for at least 68 hours. What percent of incandescent bulbs can stay
lit for that long?
19. What portion of light bulbs can stay lit for between 55 and 65 hours straight?
20. The top 2% of light bulbs can stay lit for at least how long?
21. Sophia got a 95% on her Statistics mid-term and a 91% on her Calculus mid-term. The grades on both
tests were normally distributed. The Statistics grades had a mean of 87%, with a standard deviation of
7%, while the Calculus grades had a mean of 85% with a standard deviation of 4%. On which test did
Sophia do better, compared to the rest of her class? How can you tell?
22. A set of data has the following normal probability plot. Is the data
normal? How can you tell?
23. A bad statistician heard that the mean age of the riders of Invertigo at
Kings Island is 23, with a standard deviation of 5.5 years. He
concluded that 95% of the riders of Invertigo must be between the
ages of 12 and 34. What is incorrect about his conclusion?
Chapter Three:
The table below compares the average weight and average life span of several common dog breeds. Use it to
answer questions #24-29.
Breed
Avg. weight (lbs)
Avg. life span (yrs)
Breed
Avg. weight (lbs)
Avg. life span (yrs)
Beagle
26
13.0
Golden retriever
70
11.0
Boxer
70
12.5
Labrador retriever
73
12.0
Bulldog
50
11.1
Pomeranian
5
13.9
Chihuahua
4
14.3
Poodle
42
12.7
Dachshund
19
13.2
Rottweiler
113
10.8
German shepherd
82
12.3
Yorkshire terrier
6
13.5
24. Calculate r for this set of data. What can you conclude about the relationship between average weight
and average life span of a dog breed?
25. Calculate the equation of the least-squares regression line for this set of data. How accurate will the
regression line be at predicting the average life span of a dog breed from its weight? How do you know?
26. A Shih Tzu weighs an average of 13 pounds. Approximately how long is a Shih Tzu’s average life span?
27. A Shih Tzu’s actual average life span is 12.5 years. What is the residual of that data point?
28. A Mastiff weights an average of 200 pounds. Approximately how long is a Mastiff’s average life span?
Are you confident in your answer as the true estimate of a Mastiff’s average life span? Why or why not?
29. What percent of a dog breed’s average life span can be explained by its average weight?
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