Achenbach
STA 2023 – Elementary Statistics
Assignment 1
1. Chapter 1.1 # 11-16
10. Chapter 2.3 # 33-34
2. Chapter 1.2 # 11-16
11. Chapter 2.3 # 44
3. Chapter 1.3 # 10-15
12. Chapter 2.3 # 48
4. Chapter 2.1 # 14
13. Chapter 2.4 # 20
5. Chapter 2.1 # 24
14. Chapter 2.4 # 30 & 32
6. Chapter 2.1 # 40
15. Chapter 2.4 # 36
7. Chapter 2.3 # 7-10
16. Chapter 2.4 # 42
8. Chapter 2.3 # 11-14
17. Chapter 2.5 # 27-30
9. Chapter 2.3 # 20
18. Chapter 2.5 # 32
19. Complete the relative frequency and cumulative frequency columns of the frequency
table below.
Class
0-9
10-19
20-29
30-39
Frequency
Relative Frequency
Cumulative
Frequency
17
21
26
31
Questions 20-22: At a large university 1000 students are enrolled in a statistics class.
Their scores on the final exam have a bell-shaped distribution with a mean of 73 and a
standard deviation of 8 points. Use the Empirical Rule to answer the following
questions.
20. Determine (approximately) how many students scored 89 or more.
21. Determine (approximately) how many students scored less than 81.
22. Determine (approximately) how many students scored between 65 and 89.
Achenbach
The frequency table below (Source: http://www.censusscope.org) gives the number of
males and females in each age group in Florida.
23. On the same axes, construct two frequency polygons, one depicting the information
for Florida’s male population, the other depicting the information for Florida’s female
population. Use increments of 100,000 for the vertical axis. You may use a technology
tool if you wish.
24. Use the frequency table data to estimate the average age of Florida males, and the
average age of Florida females. You may use a technology tool.
25. Use the frequency table data to estimate the standard deviation for the ages of
Florida males, and the standard deviation of the ages of Florida females. You may use a
technology tool.
Florida Population by Age and Gender
Age
Extra Credit:
1. Chapter 2.4 # 10 & 12
Male
Female
Number
Number
0-4
484,767
461,056
5-9
529,036
502,682
10-14
15-19
541,727
521,474
515,297
492,593
20-24
475,178
453,132
25-29
504,211
491,147
30-34
549,078
539,664
35-39
40-44
631,110
606,579
629,930
617,628
45-49
530,063
555,337
50-54
475,141
508,938
55-59
60-64
388,142
344,562
433,375
392,934
65-69
339,444
388,051
70-74
329,113
395,568
75-79
268,127
348,566
80-84
85+
167,803
112,160
239,638
219,127
Achenbach
STA 2023 – Elementary Statistics
Assignment 2
1. Chapter 3.1 # 23-26
10. Chapter 3.4 # 36 & 38
2. Chapter 3.1 # 29-32
11. Chapter 3.4 # 40
3. Chapter 3.2 # 10
12. Chapter 3 Quiz p. 167 # 1
4. Chapter 3.2 # 20
13. Chapter 4.1 # 28
5. Chapter 3.2 # 22
14. Chapter 4.1 # 36
6. Chapter 3.3 # 14
15. Chapter 4.1 # 44
7. Chapter 3.3 # 24
16. Chapter 4.2 # 14
8. Chapter 3.4 # 12, 14, 16, 18
17. Chapter 4.2 # 22
9. Chapter 3.4 # 30 & 32
Problems 18-19: Refer to the following probability distribution.
x
P( x)
0
.2
1
.35
2
4
.05
18. Fill in the missing value in the P ( x ) row and find E ( x ) the expected value of x .
19. Find  ( x ) , the standard deviation of x .
Problems 20-23: A man has 9 black socks and 7 white socks in his drawer. In the dark,
he chooses three socks at random so that he is sure to have a matching pair.
20. Find the probability that he chooses all white socks.
21. Find the probability that he chooses at least one white sock
22. Find the probability that he chooses 2 white socks and one black sock.
23. Find the probability that he chooses 3 socks of the same color.
Achenbach
Problems 24-25: In Powerball Lottery five white balls are drawn out of a drum with balls
numbered 1 to 55 and one red ball out of a drum with red balls numbered 1-42. A player
wins a prize as shown in the table below for matching the numbers on the white and red
balls. Each ticket costs $1. (Source: www.powerball.com)
24. Show how to obtain the probabilities listed in the table for matching:
1 red ball only
3 white and 1 red
5 white balls
25. The Grand Prize jackpot for the Powerball Lottery for the May 31, 2008 drawing is
$33 million. Use this value and the ones in the table to calculate the expected gain or
loss on the purchase of a single Powerball ticket.
+
+
+
+
+
Grand Prize
1 in 146,107,962.00
$200,000
1 in 3,563,608.83
$10,000
1 in 584,431.85
$100
1 in 14,254.44
$100
1 in 11,927.18
$7
1 in 290.91
$7
1 in 745.45
$4
1 in 126.88
$3
1 in 68.96
The overall odds of winning a prize are 1 in 36.61.
The odds presented here are based on a $1 play (rounded to two decimal places).
Extra Credit:
1. Use the table above to determine how large the Powerball jackpot would have to be
in order for the expected value of purchasing a ticket to be positive.
2. Chapter 3.3 # 25
Achenbach
STA 2023 – Elementary Statistics
Assignment 3
1. Chapter 5.1 # 48, 50, 52
11. Chapter 5.4 # 32
2. Chapter 5.1 # 58, 60, 62
12. Chapter 6.1 # 24
3. Chapter 5.2 # 8
13. Chapter 6.1 # 36
4. Chapter 5.2 # 18
14. Chapter 6.1 # 52
5. Chapter 5.2 # 26
15. Chapter 6.2 # 10
6. Chapter 5.3 # 24, 28, 30
16. Chapter 6.2 # 12
7. Chapter 5.3 # 40
17. Chapter 6.2 # 18
8. Chapter 5.3 # 48
18. Chapter 6.3 # 18
9. Chapter 5.4 # 5-8
19. Chapter 6.3 # 24
10. Chapter 5.4 # 22
20. Chapter 6.3 # 26
Problems 21-22: Airline industry research shows that the amount of luggage checked by
a passenger has a mean of   35 lbs. with a standard deviation of   10 lbs.
21. An aircraft has 200 seats and a baggage weight limit of 7250 lbs. If all seats are
filled, what is the probability that the amount of checked baggage for the 200 passengers
exceeds the 7250 lb. limit? (Hint: if the limit is exceeded, what does this mean about the
average amount of baggage each passenger checked?)
22. The airline is thinking about ordering an aircraft with 110 seats, and would like the
probability of exceeding the baggage weight limit to be less than .02 when all seats are
sold. What should the baggage weight limit be for the aircraft?
Achenbach
Questions 23-25: The table below summarizes the results of a recent poll by Pew
Research (www.people-press.org) on media coverage of the 2008 Presidential
Campaign.
Survey data measuring public perceptions of news coverage was collected
May 30th - June 2nd 2008 from a nationally representative sample of 1,002 adults.
23. Construct a 95% confidence interval for the percent of Americans who said the
media does an excellent/good job of covering candidate backgrounds.
24. Construct a 98% confidence interval for the percent of Americans who said the
media does a fair/poor job of covering positions on issues.
25. How many Americans would need to be surveyed to be 99% confident that the
estimate of the percent of Americans who say the media does a excellent/good job of
covering candidate debates will be within 2% of the actual value?
Extra Credit:
1. Chapter 5.1 # 66
2. Chapter 5.4 # 38