APU MATH530 Exam 1 Latest 2021 March

MATH530 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