1. GM533 Weeks 1-6 Checkpoints
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GM533 Week 1 Checkpoint
1. Question : Consider the following data on distances traveled by people to visit
the local amusement park and calculate the relative frequency for the shortest
distance.
375
.150
.500
.300
.333
2. Question : The following is a relative frequency distribution of grades in an
introductory statistics course.
If this was the distribution of 200 students, find the frequency of failures:
12
6
23
46
3
3. Question : A random sample of 12 joggers was asked to keep track and
report the number of miles they ran last week. The responses are:
5.5 7.2 1.6 22.0 8.7 2.8 5.3 3.4 12.5 18.6 8.3 6.6
Compute the three statistics that measure central location.
Mean: 6.9, Median: 8.54
Mean: 6.9, Median: 9.64
Mean: 8.54, Median: 6.9

2. Mean: 7.2, Median: 8.12
Mean: 7.8, Median: 8.34
4. Question : In order to get maintain a 80% minimum, Sara needs to earn at
least a “B” in Statistics. A “B” is defines as a mean test grade of 80 or more.
Below are Sara’s test grades for the course.
56 62 69 82 91 93 98
Sara has one more test to complete, for a total of eight test grades for the course.
What score must Sara achieve on the remaining test to attain a “B” in the
Statistics?
89
91
99
85
94
5. Question : In order to control costs, a company wishes to study the amount of
money its sales force spends entertaining clients. The following is a random
sample of six entertainment expenses (dinner costs for four people) from expense
reports submitted by numbers of the sales force.
$157 $132 $ 109 $145 $125 $139
Calculate Mean, Variance, and Standard Deviation. Assuming that the distribution
on entertainment expenses is approximately normally distributed, calculate
estimate of tolerances interval containing 95.44%.
[117.87, 151.13]
[101.23, 167.77]
[ 84.6, 184.40]
[117.87, 167.77]
[84.6, 151.13]

3. 6. Question : Compute and interpret the Z-score for the $157 entertainment
expense. (Reminder: the six entertainment expenses were: $157 $132 $ 109
$145 $125 $139)
0.35
-2.35
2.35
1.35
-1.35
7. Question : Calculate the first, second, third Quartiles and IQR of the following
data:
10.5 14.7 15.3 17.7 15.9 12.2 10 14.1 13.9 18.5 13.9 15.1 14.7
Q1: 13.9, Q2: 14.7, Q3: 15.3, IQR: 1.40
Q1: 12.1, Q2: 14.3, Q3: 16.1, IQR: 4.00
Q1: 13.1, Q2: 14.0, Q3: 16.3, IQR: 3.20
Q1: 12.6, Q2: 14.8, Q3: 15.7, IQR: 3.10
Q1: 11.9, Q2: 13.7, Q3: 16.3, IQR: 2.45
8. Question : The following table shows the Price-to-Earnings ratio for a Stereo
equipment manufacturing company between 1998 and 2002.
Determine the percentage change in the P/E ratios from 1999 to 2000.
33.97%
31.53%
27.26%
-31.53%
-23.97%
9. Question : According to a survey of the top 10 employers in a major city in the
Midwest, a worker spends an average of 413 minutes a day on the job. Suppose
the standard deviation is 26.8 minutes and the time spent is approximately a
normal distribution.

4. What are the times that approximately 68.26% of all workers will fall?
[332.6, 493.4]
[386.2, 493.4]
[312.6, 539.8]
[346.2, 419.8]
[386.2, 439.8]
10. Question : According to a survey of the top 10 employers in a major city in
the Midwest, a worker spends an average of 413 minutes a day on the job.
Suppose the standard deviation is 26.8 minutes and the time spent is
approximately a normal distribution.
What are the times that approximately 99.73% of all workers will fall?
[332.6, 493.4]
[386.2, 493.4]
[312.6, 539.8]
[346.2, 419.8]
[386.2, 439.8]
GM533 Week 2 Checkpoint
1. Question : Employees of a local university have been classified according to
gender and job type.
If an employee is selected at random what is the probability that the employee is
male?
.667
.367
.333
.500
.917
2. Question : Employees of a local university have been classified according to
gender and job type.

5. If an employee is selected at random what is the probability that the employee is
female given that the employee is a salaried member of staff?
.167
.500
.625
.267
.375
3. Question : Joe is considering pursuing an MBA degree. He has applied to two
different universities. The acceptance rate for applicants with similar qualifications
is 25% for University A and 40% for University B.
What is the probability that Joe will not be accepted at either university?
0.75
0.45
0.90
0.65
0.60
4. Question : In a report on high school graduation, it was stated that 85% of
high school students graduate. Suppose 3 high school students are randomly
selected from different schools.
What is the probability that all graduate?
0.85
0.947
0.614
0.283
0.003
5. Question : A pharmaceutical company has determined that if a new
cholesterol-reducing drug is manufactured (introduced to the market), the

6. following probability distribution will describe this drug's contribution to the
company's profits during the next six months.
The company management has decided to market this product if the expected
contribution to profit for the next six months is more than $90,000. Based on the
information given above, should the company begin manufacturing the new drug?
Yes, begin manufacturing
No, don't begin manufacturing
6. Question : A large disaster cleaning company estimates that 30% of the jobs
it bids on are finished within the bid time. Looking at a random sample of 8 jobs
that is has contracted:
Calculate the mean number of jobs completed within the bid time.
4.0
2.4
2.0
5.6
7. Question : Your company's internal auditor believes that 10% of the
company's invoices contain errors. To check this theory, 20 invoices are randomly
selected and 5 are found to have errors.
What is the probability that of the 20 invoices written, five or more would contain
errors if the theory is valid?
.0433
.0319
.9567
.8660
8. Question : An important part of the customer service responsibilities of a
cable company relates to the speed with which trouble in service can be repaired.
Historically, the data show that the likelihood is 0.75 that troubles in a residential
service can be repaired on the same day. For the first five troubles reported on a
given day, what is the probability that: Fewer than two troubles will be repaired on
the same day?
.6328

7. .0010
.0156
.0146
9. Question : In a study conducted by a local university, it was found that 25% of
college freshmen support increased military spending. If 6 college freshmen are
randomly selected, find the probability that:
Fewer than 4 support increased military spending
.0330
.7844
.9624
.9954
10. Question : A multiple-choice test has 30 questions and each one has five
possible answers, of which one is correct. If all answers were guesses, find the
probability of getting exactly four correct answers.
.0604
.1325
.2552
.8000
GM533 Week 3 Checkpoint
1. Question : The population of lengths of aluminum-coated steel sheets is
normally distributed with a mean of 30.05 inches and a standard deviation of 0.2
inches.
What is the probability that a sheet selected at random will be less than 29.75
inches long?
.8944
.1056
.9332
.066

8. 2. Question : The population of lengths of aluminum-coated steel sheets is
normally distributed with a mean of 30.05 inches and a standard deviation of 0.2
inches.
What is the probability that a sheet selected at random from the population is
between 29.75 and 30.5 inches long?
.4332
.4878
.0546
.9210
3. Question : During the past six months, 73.2% of US households purchased
sugar. Assume that these expenditures are approximately normally distributed
with a mean of $8.22 and a standard deviation of $1.10.
Find the probability that a household spent less than $5.00.
.9983
0.000
1.00
0.0017
4. Question : During the past six months, 73.2% of US households purchased
sugar. Assume that these expenditures are approximately normally distributed
with a mean of $8.22 and a standard deviation of $1.10. What proportion of the
households spent between $5.00 and $9.00?
.7611
.7628
.0017
.7594
5. Question : The population of lengths of aluminum-coated steel sheets is
normally distributed with a mean of 30.05 inches and a standard deviation of 0.2
inches. A sample of four metal sheets is randomly selected from a batch. What is
the probability that the average length of a sheet is between 30.25 and 30.35
inches long?

9. .9773
.0227
.0386
.0215
6. Question : The chief chemist for a major oil/gasoline production company
claims that the regular unleaded gasoline produced by the company contains on
average 4 ounces of a certain ingredient. The chemist further states that the
distribution of this ingredient per gallon of regular unleaded gasoline is normal
and has a standard deviation of 1.2 ounces. What is the probability of finding an
average in excess of 4.3 ounces of this ingredient from randomly inspected 100
gallons of regular unleaded gasoline?
.5987
.4013
.9938
.0062
7. Question : In the upcoming governor's election, the most recent poll based on
900 respondents predicts that the incumbent will be reelected with 55% of the
votes. For the sake of argument, assume that 51% of the actual voters in the
state support the incumbent governor (). Calculate the probability of observing a
sample proportion of voters 0.55 or higher supporting the incumbent governor.
.0166
.0247
.0082
.9918
8. Question : According to a hospital administrator, historical records over the
past 10 years have shown that 20% of the major surgery patients are dissatisfied
with after-surgery care in the hospital. A scientific poll based on 400 hospital
patients has just been conducted.
What is the probability that less than 64 patients will not be satisfied with the
after-surgery care?
47.72%

10. 2.28%
97.72%
95.44%
4.56%
GM533 Week 4 Checkpoint
1. Question : An environmental group at a local college is conducting
independent tests to determine the distance a particular make of automobile will
travel while consuming only 1 gallon of gas. A sample of five cars is tested and a
mean of 28.2 miles is obtained. Assuming that the sample standard deviation is
2.7 miles, find the 95% confidence interval for the mean distance traveled by all
such cars using 1 gallon of gas.
[26.16 30.24]
[20.70 35.70]
[24.85 31.55]
[26.70 29.70]
[25.83 30.57]
2. Question : A random sample of size 30 from a normal population yields =
32.8 with a population standard deviation of 4.51. Construct a 95 percent
confidence interval for .
[23.96 41.64]
[32.04 33.56]
[31.45 34.15]
[31.19 34.41]
3. Question : In a manufacturing process a random sample of 36 bolts
manufactured has a mean length of 3 inches with a standard deviation of .3
inches. What is the 99% confidence interval for the true mean length of the bolt?
2.902 to 3.098
2.884 to 3.117
2.865 to 3.136

11. 2.228 to 3.772
2.465 to 3.205
4. Question : A federal bank examiner is interested in estimating the mean
outstanding defaulted loans balance of all defaulted loans over the last three
years. A random sample of 20 defaulted loans yielded a mean of $67,918 with a
standard deviation of $16,552.40. Calculate a 90% confidence interval for the
mean balance of defaulted loans over the past three years.
[66,487 69,349]
[39,299 96,537]
[57,329 78,507]
[61,829 74,007]
[61,519 74,317]
5. Question : Unoccupied seats on flights cause airlines to lose revenue.
Suppose a large airline wants to estimate its average number of unoccupied
seats per flight over the past year. 225 flight records are randomly selected and
the number of unoccupied seats is noted with a sample mean of 11.6 seats and a
standard deviation of 4.1 seats. How many flights should we select if we wish to
estimate to within 2 seats and be 95% confident?
130
65
33
17
12
6. Question : The coffee/soup machine at the local bus station is supposed to fill
cups with 6 ounces of soup. Ten cups of soup are brought with results of a mean
of 5.93 ounces and a standard deviation of 0.13 ounces. How large a sample of
soups would we need to be 95% confident that the sample mean is within 0.03
ounces of the population mean?
97
90
73

12. 62
10
7. Question : Recently, a case of food poisoning was traced to a particular
restaurant chain. The source was identified and corrective actions were taken to
make sure that the food poisoning would not reoccur. Despite the response from
the restaurant chain, many consumers refused to visit the restaurant for some
time after the event. A survey was conducted three months after the food
poisoning occurred with a sample of 319 patrons contacted. Of the 319
contacted, 29 indicated that they would not go back to the restaurant because of
the potential for food poisoning Construct a 95% confidence interval for the true
proportion of the market who still refuse to visit any of the restaurants in the chain
three months after the event.
[.059 .122]
[.090 .091]
[.000 .196]
[.240 .339]
[.118 .244]
8. Question : The Ohio Department of Agriculture tested 203 fuel samples
across the state in 1999 for accuracy of the reported octane level. For premium
grade, 14 out of 105 samples failed (they didn't meet ASTM specification and the
FTC Octane posting rule). Find a 99% confidence interval for the true population
proportion of premium grade fuel-quality failures.
[.045 .221]
[.068 .198]
[.023 .115]
[.048 .219]
[.100 .276]
9. Question : Recently, a case of food poisoning was traced to a particular
restaurant chain. The source was identified and corrective actions were taken to
make sure that the food poisoning would not reoccur. Despite the response from
the restaurant chain, many consumers refused to visit the restaurant for some
time after the event. A survey was conducted three months after the food
poisoning occurred with a sample of 319 patrons contacted. Of the 319
contacted, 29 indicated that they would not go back to the restaurant because of

13. the potential for food poisoning. What sample size would be needed in order to be
99% confident that the sample proportion is within .02 of , the true proportion of
customers who refuse to go back to the restaurant?
14
38
129
1,373
1,777
10. Question : The Ohio Department of Agriculture tested 203 fuel samples
across the state in 1999 for accuracy of the reported octane level. For premium
grade, 14 out of 105 samples failed (they didn't meet ASTM specification and the
FTC Octane posting rule). How many samples would be needed to create a 99%
confidence interval that is within 0.02 of the true proportion of premium grade
fuel-quality failures?
4148
2838
1877
744
54
GM533 Week 5 Checkpoint
Complete Exercise 9.13 (The Video Game Satisfaction Case) on page 357 in
your textbook.
Complete Exercise 9.19 on page 358 in your textbook
Complete Exercise 9.29 (The Video Game Satisfaction Rating Case) on page 362
in your textbook.
Complete Exercise 9.31 on page 362 in your textbook.
Complete Exercise 9.42 on page 367 in your textbook
GM533 Week 6 Checkpoint
Complete Exercise 13.8 (The Real Estate Case) on page 503 in your textbook

14. Complete Exercise 13.21 (The Starting Salary) on page 511 in your textbook.
Complete Exercise 13.30 (The Fuel Consumption Case) on page 518 in your
textbook
Complete Exercise 13.53 (The Fresh Detergent Case) on page 529 in your
textbook