# MA 160 Grossmont College Observational Study and Experimental Study Statistic Worksheet

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Grossmont College
Name:
MA160
Homework
(section 2.1)
Class section no.:
Each HW packet is worth 5 points. You will be graded upon your percentage of completion (not
accuracy), but you have to show clear work (whenever applicable) to get full credit. The
answers for odd numbered questions are in the textbook.
1. McDonald’s Dinner Service Times Refer to the accompanying table summarizing service
times (seconds) of McDonald’s dinners. How many individuals are included in the summary?
Is it possible to identify the exact values of all of the original service times?
Table for Exercise 1
Sunil olan weno tudta limo
McDonald’s Dinner Service Times
bainis
Time (sec)
Frequency w dobro
60-119
7
interdam
120-179
22
180-239
14
10 mon mot polos decorate
240-299
2
300-359
5
3. Relative Frequency Distribution Use percentages to construct the relative frequency dis-
tribution corresponding to the accompanying frequency distribution for McDonald’s dinner
service times.robsoni 29
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212 212
In Exercises 5–8, identify the class width, class midpoints, and class boundaries for the
given frequency distribution. Also identify the number of individuals included in the sum-
mary. The frequency distributions are based on real data from Appendix B.
5.
Age (yr) of Best Actress
When Oscar Was Won
Frequency
29
20-29
30-39
34
40-49
14
50-59
3
60-69
5
70-79
1
1
80-89
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Blood Platelet Count
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100-199
51
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200-299
90
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300-399
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600-699
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051
Normal Distributions. In Exercises 9 and 10, using a loose interpretation of the criteria
for determining whether a frequency distribution is approximately a normal distribution,
determine whether the given frequency distribution is approximately a normal distribution.
Give a brief explanation.
9. Best Actresses Refer to the frequency distribution from Exercise 5.
Constructing Frequency Distributions. In Exercises 11-18, use the indicated data to
construct the frequency distribution. (The data for Exercises 13–16 can be downloaded at
Triola Stats.com.)
11. Old Faithful Listed below are sorted duration times (seconds) of eruptions of the Old
Faithful geyser in Yellowstone National Park. Use these times to construct a frequency distribu-
tion. Use a class width of 25 seconds and begin with a lower class limit of 125 seconds.
125 203 205 221 225 229 233 233 235 236 236 237 238 238 239 240 240
240 240 241 241 242 242 242 243 243 244 245 245 245 245 246 246 248
248 248 249 249 250 251 252 253 253 255 255 256 257 258 262 264
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.U. 13. Burger King Lunch Service Times Refer to Data Set 25 – Fast Food” and use the drive-
through service times for Burger King lunches. Begin with a lower class limit of 70 seconds
and use a class width of 40 seconds.
roda
ch.15. Wendy’s Lunch Service Times Refer to Data Set 25 Fast Food” and use the drive-
through service times for Wendy’s lunches. Begin with a lower class limit of 70 seconds and
use a class width of 80 seconds. Does the distribution appear to be a normal distribution?
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17. Analysis of Last Digits Heights of statistics students were obtained by the author as part
of an experiment conducted for class. The last digits of those heights are listed below. Con-
struct a frequency distribution with 10 classes. Based on the distribution, do the heights appear
to be reported or actually measured? What do you know about the accuracy of the results?
0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 5 5
5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9
Cumulative Frequency Distributions. In Exercises 21 and 22, construct the cumulative
frequency distribution that corresponds to the frequency distribution in the exercise
indicated.
21. Exercise 5 (Age of Best Actress When Oscar Was Won)
Categorical Data. In Exercises 23 and 24, use the given categorical data to construct the
relative frequency distribution.
23. Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial
for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug,
Does any one of these adverse reactions appear to be much more common than the others?
(Hint: Find the relative frequencies using only the adverse reactions, not the total number
of treated subjects.)
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Large Data Sets. Exercises 25-28 involve large sets of data, so technology should be
used. Complete lists of the data are not included in Appendix B, but they can be downloaded
from the website TriolaStats.com. Use the indicated data and construct the frequency
distribution.
-1.25. Systolic Blood Pressure Use the systolic blood pressures of the 300 subjects included in
Data Set 1 “Body Data.” Use a class width of 20 mm Hg and begin with a lower class limit of
80 mm Hg. Does the frequency distribution appear to be a normal distribution?
…27. Earthquake Magnitudes Use the magnitudes of the 600 earthquakes included in Data Set
21 “Earthquakes.” Use a class width of 0.5 and begin with a lower class limit of 1.00. Does the
frequency distribution appear to be a normal distribution?
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23. Source of the Data Considering the source of the data, does that source appear to be
biased in some way?
What’s Wrong? In Exercises 25–28, identify what is wrong. .
select their favorite vegetables, and the favorite choice was potatoes, which were selected by
26% of the respondents.
1
27. Motorcycles and Sour Cream In recent years, there has been a strong correlation be-
tween per capita consumption of sour cream and the numbers of motorcycle riders killed in
noncollision accidents. Therefore, consumption of sour cream causes motorcycle fatalities.
29. Workplace Attire In a survey conducted by Opinion Research Corporation, 1000 adults
were asked to identify “what is inappropriate in the workplace.” of the 1000 subjects, 70% said
that miniskirts were not appropriate in the workplace.
a. What is 70% of 1000?
b. Among the 1000 respondents, 550 said that shorts are unacceptable in the workplace. What
percentage of respondents said that shorts are unacceptable in the workplace?
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19. Literary Digest Poll In 1936, Literary Digest magazine mailed questionnaires to 10 million
people and obtained 2,266,566 responses. The responses indicated that Alf Landon would win
the presidential election. He didn’t.
Critical Thinking: What’s Wrong? In Exercises 21-28, determine whether the study is
an experiment or an observational study, and then identify a major problem with the study.
21. Online News In a survey conducted by USA Today, 1465 Internet users chose to respond to
this question posted on the USA Today electronic edition: “Is news online as satisfying as print
and TV news?” 52% of the respondents said “yes.
23. Drinking and Driving A researcher for a consortium of insurance companies plans to
test for the effects of drinking on driving ability by randomly selecting 1000 drivers and then
randomly assigning them to two groups: One group of 500 will drive in New York City after no
alcohol consumption, and the second group will drive in New York City after consuming three
shots of Jim Beam bourbon whiskey.
25. Driver Aggression In testing a treatment designed to reduce driver aggression in the United
States, the original plan was to use a sample of 500 drivers randomly selected throughout the
country. The program managers know that they would get a biased sample if they limit their
study to drivers in New York City, so they planned to compensate for that bias by using a larger
sample of 3000 drivers in New York City.
27. Crime Research A sociologist has created a brief survey to be given to 2000 adults ran-
domly selected from the U.S. population. Here are her first two questions: (1) Have you ever
been the victim of a felony crime? (2) Have you ever been convicted of a felony?
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31. Marriage Proposals In a survey conducted by The Knot.com, 1165 engaged or married
women were asked about the importance of a bended knee when making a marriage proposal.
Among the 1165 respondents, 48% said that the bended knee was essential.
a. What is the exact value that is 48% of 1165 survey respondents?
b. Could the result from part (a) be the actual number of survey subjects who said that a bended
knee is essential? Why or why not?
c. What is the actual number of survey respondents saying that the bended knee is essential?
d. Among the 1165 respondents, 93 said that a bended knee is corny and outdated. What per-
centage of respondents said that a bended knee is corny and outdated?
33. Percentages in Advertising An ad for Big Skinny wallets included the statement that
one of their wallets “reduces your filled wallet size by 50%-200%.” What is wrong with this
statement?
35. Percentages in Advertising A New York Times editorial criticized a chart caption that
described a dental rinse as one that “reduces plaque on teeth by over 300%.” What is wrong
with this statement?
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Experimental Study

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Literary Digest Magazine

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