The following data are the base salaries, in thousands of dollars, of a sample of 50 chief executive officers of companies doing business with the state of Connecticut.
Applied Statistics
Exam 1
125
157
113
127
201
165
145
119
148
158
148
168
117
105
136
136
125
148
108
178
179
191
225
204
104
205
197
119
209
157
209
205
221
178
247
235
217
222
224
187
265
148
165
228
239
245
152
148
115
150
Question 1 The following data are the base salaries, in thousands of dollars, of a sample of 50 chief executive officers of companies doing business with the state of Connecticut.
Find the mean of the CEO salaries, rounded to the nearest thousand dollars.
Question 2 The following data are the base salaries, in thousands of dollars, of a sample of 50 chief executive officers of companies doing business with the state of Connecticut.
125
157
113
127
201
165
145
119
148
158
148
168
117
105
136
136
125
148
108
178
179
191
225
204
104
205
197
119
209
157
209
205
221
178
247
235
217
222
224
187
265
148
165
228
239
245
152
148
115
150
Find the median of the CEO salaries, rounded to the nearest thousand dollars.
Question 3 The following data are the base salaries, in thousands of dollars, of a sample of 50 chief executive officers of companies doing business with the state of Connecticut.
125
157
113
127
201
165
145
119
148
158
148
168
117
105
136
136
125
148
108
178
179
191
225
204
104
205
197
119
209
157
209
205
221
178
247
235
217
222
224
187
265
148
165
228
239
245
152
148
115
150
Find the variance of the CEO salaries, rounded to the nearest ten. (Don’t worry about the units.)
Question 4 The following data are the base salaries, in thousands of dollars, of a sample of 50 chief executive officers of companies doing business with the state of Connecticut.
125
157
113
127
201
165
145
119
148
158
148
168
117
105
136
136
125
148
108
178
179
191
225
204
104
205
197
119
209
157
209
205
221
178
247
235
217
222
224
187
265
148
165
228
239
245
152
148
115
150
Find the standard deviation of the CEO salaries, rounded to the nearest thousand dollars.
Question 5 The following data are the base salaries, in thousands of dollars, of a sample of 50 chief executive officers of companies doing business with the state of Connecticut.
125
157
113
127
201
165
145
119
148
158
148
168
117
105
136
136
125
148
108
178
179
191
225
204
104
205
197
119
209
157
209
205
221
178
247
235
217
222
224
187
265
148
165
228
239
245
152
148
115
150
.
Find the interquartile range of the CEO salaries, rounded to the nearest thousand dollars.
Question 6 The following data are the base salaries, in thousands of dollars, of a sample of 50 chief executive officers of companies doing business with the state of Connecticut.
125
157
113
127
201
165
145
119
148
158
148
168
117
105
136
136
125
148
108
178
179
191
225
204
104
205
197
119
209
157
209
205
221
178
247
235
217
222
224
187
265
148
165
228
239
245
152
148
115
150
Find the 10% trimmed mean of the CEO salaries, rounded to the nearest thousand dollars.
Question 7 The following data are the base salaries, in thousands of dollars, of a sample of 50 chief executive officers of companies doing business with the state of Connecticut.
125
157
113
127
201
165
145
119
148
158
148
168
117
105
136
136
125
148
108
178
179
191
225
204
104
205
197
119
209
157
209
205
221
178
247
235
217
222
224
187
265
148
165
228
239
245
152
148
115
150
Which of the relative frequency histograms given below best reflects the CEO salary data?
Question options:
Question 8 An urn contains 12 balls identical in every respect except their color. There are 3 red balls, 7 green balls, and 2 blue balls. You draw two balls from the urn, but replace the first ball before drawing the second. Find the probability that the first ball drawn is red and the second ball drawn is green. Round to the nearest ten thousandth (4 decimal places).
Question 9 Ann is applying for a bank loan to open a pizza franchise. She must first complete a written application and then, if the written application is approved, be interviewed by bank officers. If an applicant’s written application is not approved the applicant is not granted an interview with the bank officers. Past records for this bank show that the probability of an applicant having his or her written application approved is 0.63. Records also indicate that the interviewing committee of bank officers approve 85% of the individuals they interview. Find the probability that Ann’s loan request is approved. Round to 4 decimal places.
Question 10 A restaurant menu has a prix fixe complete dinner that consists of an appetizer, entree, beverage, and dessert. You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible?
Question 11 The Big Triple at the local racetrack consists of picking the correct order of finish of the first three horses in the ninth race. If there are 12 horses entered in today’s ninth race, how many Big Triple outcomes are possible?
Question 12 In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported.
Number of Products Purchased
Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400
What is the probability that a consumer selected at random purchased fewer products than before? Round to 4 decimal places.
Question 13 In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported.
Number of Products Purchased
Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400
What is the probability that a consumer selected at random purchased the same number or more products than before? Round to 4 decimal places.
Question 14 In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. .
Number of Products Purchased
Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400
What is the probability that a consumer selected at random purchased fewer products than before and changed brands? Round to 4 decimal places.
Question 15 In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. .
Number of Products Purchased
Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400
Given that a consumer changed the brands, what then is the probability that the consumer purchased fewer products than before? Round to 4 decimal places.
Question 16 Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that exactly three of them will experience a bad side effect? Round to 4 decimal places.
Question 17 Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that more than three of them will experience a bad side effect? Round to 4 decimal places.
Question 18 Past records at an appliance store show that 60% of the customers who look at appliances will buy one. What is the probability that the first sale of the day will be made to the fourth customer who looks at an appliance in this store? Round to 4 decimal places.
Question 19 Categorize the style of gathering data in the following scenario. You give one group of students a flu vaccination and compare the number of times these students are sick during the semester with students in a group who did not receive the vaccination.
Question options:
sampling
experimental
simulation
census
Question 20 Identify the sampling technique used in the following situation. You divide the subscribers of a magazine into three different income categories: low, medium, and high and then select a random sample from each category to survey about their favorite article.
Question options:
simple random
convenience
stratified
cluster
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