Applied Statistics
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.
MATH530 Applied Statistics
Exam 2
Question 1 It has been observed that electrical connectors manufactured by Jolt Electrical Supply Company last an average of 18.2 months and follow a normal distribution with a standard deviation of 1.7 months. Jolt agrees to replace any connector that fails within 19 months. Out of 500 connectors sold, how many does Jolt expect to replace, on average? Place your answer, rounded to the nearest whole number, in the blank.______
Question 2 The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For a door selected at random, what is the probability the assembly line time will be between 5 and 10 minutes? Place your answer, rounded to 4 decimal places, in the blank.______
Question 3 The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28? Place your answer, rounded to 4 decimal places, in the blank.______
Question 4 Political polls typically sample randomly from the U.S population to investigate the percentage of voters who favor some candidate or issue. Suppose that one such poll asks voters how they feel about the President’s handling of foreign affairs. The results show that 575 out of the 1280 people polled say they either “approve” or “strongly approve” of the President’s handling of foreign affairs. Based on the results of this sample, find a 95% confidence interval estimate for the proportion of the entire voter population who “approve” or “strongly approve” of the President’s handling of foreign affairs. Place your answer, rounded to 4 decimal places, in the blanks. Lower limit =___; and upper limit =______
Question 5 Political polls typically sample randomly from the U.S population to investigate the percentage of voters who favor some candidate or issue. Suppose that one such poll asks voters how they feel about the President’s handling of foreign affairs. How large a sample must the pollster take to ensure that, with 95% confidence, he or she could estimate the fraction of voters who “approve” or “strongly approve” of the President’s handling of foreign affairs within 2% of the actual value? Place your answer, rounded to the nearest whole number, in the blank.______
MATH530 Applied Statistics
Exam 3
Question 1 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
If we wish to determine if the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant, the null hypothesis would be
Question options:
Ho:
Ho:
Ho:
Ho:
Question 2 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
If we are interested in determining if the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant, the alternative hypothesis would be
Question options:
H1: f[mu _{d}=0f]
H1: f[mu _{d}>0f]
H1:
H1:
Question 3 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
Perform an appropriate test of hypothesis to determine if there is evidence, at the .05 level of significance, to support the claim that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? What is the value of the sample test statistic?
Question options:
z = 1.8424
t = 1.8424
t = 2.7234
p = 2.7234
Question 4 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
What is the p-value associated with the test of hypothesis you conducted?
Question options:
p = .057403
p = .114986
p = .942597
p = .885014
Question 5 Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Use these data to answer questions 1 through 5.
Patient
1
2
3
4
5
6
7
Before
158
189
202
353
416
426
441
After
284
214
101
227
290
176
290
At the .05 level of significance, is there sufficient evidence to conclude that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant?
Question options:
no
yes
It is impossible to determine
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