MATH 1342 – Yager
REVIEW Ch 1,2,3
Name
__________________________________________
CHAPTER 1
Determine whether the underlined value is a parameter or statistic.
1. In a survey of 1100 people age 50 or older, 73% agreed with the statement I believe in life after death.”
2. The average grade on the first test of my 1342 students was 87.2%
3. 48.3% of Weatherford College students own a car.
4. Out of 1200 high school students studied, 12% said they walk to school.
5. A baseball player’s career batting average .366.
6. 91% of the states have texting-while-driving bans.
Classify the variable as Qualitative or Quantitative. If it is Quantitative, classify it as Discrete or Continuous.
7. Nation of origin
12. Student ID number
8. Volume of water used in a home
13. Internet connection speed
9. Number of siblings
14. Zip code
10. value of a house
15. Length of a city street
11. Goals scored by a soccer player
Determine the Level of Measurement of each (Nominal, Ordinal, Interval, Ratio)
16. Value of a house
21. Year of birth of college students
17. Highest degree obtained in school
22. Movie rankings
18. Goals scored by a soccer player
23. Internet connection speed
19. Student ID number
24. Volume of water used each day in a home
20. Eye color
25. Time of day
Determine whether each is an observational study or an experiment.
26. Rats with cancer are divided into 2 groups. One group receives 5 mg of a medication that is thought to
fight cancer. The other group receives 10mg. After 2 years the spread of cancer is measured.
27. A poll is conducted in which 500 people are asked which is better, plain or peanut M&Ms.
28. Conservation agents netted 250 bass in a lake and determined how many had parasites.
Decide which type of sampling is used (Simple Random Sampling, Stratified, Cluster, Systematic, Convenience)
30. A college official divides the student population into five classes, freshman, sophomore, junior, senior, and
graduate student. The official takes a simple random sample from each class and asks its opinion regarding
student services.
31. A farmer divides his orchard into 50 subsections. Then he randomly picks 4 sections and studies all the
trees in those sections for insect damage.
32. In an effort to determine whether an advertising campaign has been effective, a marketing firm conducts
a nationwide poll by selecting individuals from a list of known users of the product.
33. A guest lecturer wants to evaluate the effectiveness of her speech. She stands outside the auditorium
before the program and hands a survey to every 5th person attending.
34. A survey regarding download time on a certain website is administered on the Internet by a market
research form to anyone who would like to take it.
35. To determine his DSL Internet connection speed, Shawn divides up the day into four parts: morning,
midday, evening and late night. He then measures his Internet connection speed at 5 randomly selected times
during each part of the day.
36. A member of Congress wants to determine her constituency’s opinions regarding estate taxes. She
divides her constituents into 3 household income levels:, high, middle, low. She then takes a simple random
sample from each.
37. A radio station asks its listeners to call in their opinion regarding troops overseas.
38. 24 Hour Fitness wants to determine the average cost of membership at their facility. Using its
membership roster, the club looks at the dues for every 12th member.
39. To determine customer opinion of its boarding policy, Southwest Airlines randomly selects 60 flights
during a certain week and surveys all passengers on the flights.
40. A teacher wants to know what her students think about a new system she has developed. She gives all
her students a questionnaire and puts them all in a hat. She then draws 35 questionnaires and reads them.
Determine the type of bias: (sampling bias, response bias, nonresponse bias)
41. Suppose you are conducting a survey regarding the sleeping habits of students. From a list of registered
students you obtain a simple random survey of 150 students. One survey question is “How much sleep do you
get?”
42. A health teacher wants to research the weight of college students. She obtains the weights fro all
students in her 9am class by looking at their driver’s licenses.
43. To determine the public’s opinion of the police department, the police chief obtains a cluster sample of 15
neighborhoods and surveys all households in the selected neighborhoods. Uniformed police officers go door
to door to conduct the survey.
44. An accounting firm wants to know about their clients satisfaction with them. They send a survey out to all
their members. They get a 40% participation rate.
45. A retail store manager wants to conduct a study regarding the shopping habits of its customers. He
selects the first 60 customers who enter the store Saturday morning.
46. You want to take a simple random sample from a population of 150 people. Using the chart below, start
at the 1st row and 20th column to get a simple random sample of 5 people.
Participants were asked to disclose their favorite day to order takeout for dinner. Here are the results:
Thursday
Saturday
Wednesday
Friday
Wednesday
Friday
Tuesday
Saturday
Saturday
Saturday
Monday
Tuesday
Monday
Wednesday
Saturday
Saturday
Friday
Friday
Friday
Wednesday
Wednesday
Thursday
Friday
Saturday
1. Construct a frequency distribution and
a relative frequency distribution for the data:
2. Construct a frequency histogram for the data.
3. Construct a relative frequency histogram for the data.
A certain restaurant chain counted the number of complaints for various
issues.
4. Construct a Pareto chart for the data.
Complaint
Too noisy
Overpriced
Food quality
Restaurant not clean
Unfriendly staff
Wait time
Small portions
Number
27
789
89
30
12
109
621
The following data represents the HDL cholesterol level of 20-29 year old patients of a certain doctor.
70
36
38
56
46
56
49
73
32
69
48
38
45
44
53
48
35
51
60
70
53
58
56
51
33
5. Construct a Relative Frequency Distribution for the data using a class width of 5 starting with 30 as the first
class.
6. The following data represents the number of grams of fat in breakfast meals offered at McDonald’s.
a. Construct a Stem and Leaf Plot
b. What is the shape of the distribution?
12
27
51
22
31
55
27
11
59
3
16
16
25
21
36
30
32
30
32
22
9
37
46
24
7. Match each graph with the shape of its distribution
a. Uniform
b. Bell shaped
c. Skewed right
d. Skewed left
8. Identify which graphs are misleading? Why?
6
4
2
0
Series 1
Series 2
Series 3
CHAPTER 3
1. A random sample of 25 college students was asked “How many hours per week typically do you work at a job?” Here
is the data:
0
15
20
28
30
0
15
24
30
35
0
15
25
30
35
5
20
25
30
35
15
20
28
30
40
a. Compute the mean, median, and mode of this data.
b. Determine the range, and standard deviation.
c. Draw a box plot and label the quartiles, whiskers, upper and lower fences, and identify any outliers.
d. What is the shape of the distribution?
2. A professor has recorded exam grades for 10 students in her class, but one of them is no longer readable. If the
mean score on the exam was 76 and the mean of the 9 readable scores is 80, what is the value of the unreadable score?
3. The median for the given set is 25.5. What is the missing value?
4
12
23
_______
41
50
4. The following data represent the temperatures the thermostat is set to in the winter in a sample of houses.
60
63
64
70
79
65
60
71
75
76
66
68
72
71
70
74
70
68
65
66
a. Find the mean and median.
b. Construct a Frequency Distribution for the data using a class width of 4 starting with 60 as the first class.
c. Draw a histogram of the data
c. Identify the shape of the distribution.
5. SAT math scores have a bell shaped distribution with a mean of 515 and a standard deviation of 114.
a. What percentage of scores is between 401 and 629?
b. What percentage of scores is less than 401 or greater than 629?
c. What percentage of scores is greater than 743?
d. What percentage of scores is between 743 and 401?
6. The following data represents the birth weight of all babies born in a certain hospital.
a. Approximate the mean and standard deviation.
b. Draw a frequency histogram to verify that the distribution is bell shaped.
c. According to the Empirical Rule, 95% of babies will weigh between what two weights?
Weight (g) frequency
0-999
27
1000-1999
90
2000-2999
920
3000-3999
2599
4000-4999
308
5000-5999
5
7. Bob goes to the store to buy a mix of chocolates. He bought 4 lbs. chocolate covered almonds at $3.50 per pound,
3 lbs. chocolate covered peanuts at $2.75 per pound, and 2.5 lbs. chocolate covered raisins at $2.25 per pound. What is
the cost per pound of this mix?
8. Marissa wants to figure out her grade in calculus class. The percentages for the class are:
Attendance
5%
Quizzes
10%
Tests
60%
Final Exam
25%
Her averages are 100 for attendance, 93 for quizzes, 86 for tests, and 85 on the final exam.
What will she make in the class?
9. Babies born between 32-35 weeks have a mean weight of 2600 grams and standard deviation of 660 grams. Babies
born at 40 weeks have a mean weight of 3500 grams and standard deviation of 470 grams. Suppose a 34 week baby
weighs 3000 grams and a 40 week baby weighs 4000 grams.
a. What is the z-score for the 34 week baby?
b. What is the z-score for the 40 week baby?
c. Which baby weighs LESS relative to their weight category?
10. Ryan’s best time 100-meter backstroke is 45.3 seconds. The mean of all swimmers in this event is 48.62 seconds
and a standard deviation of .98 seconds. Ryann’s best time in the 200-meter backstroke is 99.32 seconds. The mean of
all swimmers in the event is 106.58 seconds with a standard deviation of 2.38 seconds. In which race is Ryan better?
11. A boarding school will only admit students who place 1.35 standard deviations above the mean on a standardized
test that has a mean of 200 and a standard deviation of 26. What is the minimum score to get in?
12. Jennifer was in the 24th percentile for her height. What does this mean?
13. The following data represent the ages some of the U.S. presidents at their inauguration days.
42
50
51
54
56
57
64
46
50
53
55
57
61
64
47
51
54
55
57
61
68
a. What is the 5 – number summary?
b. Construct a box plot including the fences.
c. What is the inner quartile range?
d. Is 74 an outlier? Why?
14. The number of fish caught in a tournament by 8 people. Find the 5 - number summary.
5
24
42
50
53
54
55
56
a. What is the 5 – number summary?
b. What is the inner quartile range?
c. What are the upper and lower fences?
d. Is 12 an outlier? Why?
15. Use the Box and Whisker Plot to answer the following questions:
Data Set #1
Data Set #2
#2
What is the 5 –
Number Summary?
What is the
maximum value?
What is the
median?
What is the 3rd
Quartile?
Describe the shape
#1
0
5
10
15
20