Ecmb12 Past Exam
ECMB12H3F L30 Quantitative Methods in Economics II Final Examination Wednesday December 14, 2011 2–4 pm Instructor: Victor Yu Last Name (Print): Solution First Name (Print): Student Number: Circle your section Aids allowed: L30 Wednesday Deferred Exam
Calculator and two aid sheets (four 8.5"x11" pages) written or typed on both sides
Time allowed: Two (2) hours This exam consists of 22 questions in 15 pages including this cover page. It is the student’s responsibility to hand in a complete exam. Any missing page will get a zero mark. Statistical table (Standard Normal, t, 2 and F ) are provided separately. Show your work in part 2. No marks will be given if you do not show your work. This exam is worth 40% of your course grade. Do not write on the space below, for markers only.
Page 2-7 8 9-10 11 12-13 14-15
Question 1-17 18 19abc 20ab 21abc 22abcd Total
Max 51 9 9 9 9 13 100
Mark
1
Part 1. Multiple Choice (3 marks each, no part marks. 51 marks in total) 1. In testing H 0 : p 0.7 against H a : p 0.7 , the p-value is 0.0231. Which one of the following statements is true? (a) Reject H 0 if the significance level is less than 0.01. (b) Reject H 0 if the significance level is less than 0.05. (c) A 99% confidence interval for p must contain the value 0.7. (d) A 95% confidence interval for p must contain 0.7. (e) None of the above is true, the sample data is not given. 2. Suppose H 0 : p 0.45 is to be tested against H a : p 0.45 at the =0.05 level of significance where p is the probability of getting a “yes” vote in a population. If the sample size is 400, the number of “yes” votes that will cause H 0 to be rejected is closest to (a) 151 Solution: At p 3. (b) 154 =0.05, reject H 0 if Z (c) 157
1.645 , i.e.,
(d) 161
(e) 164 1.645 ,
p 0.45 0.45 0.55 / 400
0.409081141 , 400 p
163.64 .
Consider H 0 : 20 and H a : 20 where is the mean of a Normal population. A sample of size 16 is selected from this population, and the sample
Calculator and two aid sheets (four 8.5"x11" pages) written or typed on both sides
Time allowed: Two (2) hours This exam consists of 22 questions in 15 pages including this cover page. It is the student’s responsibility to hand in a complete exam. Any missing page will get a zero mark. Statistical table (Standard Normal, t, 2 and F ) are provided separately. Show your work in part 2. No marks will be given if you do not show your work. This exam is worth 40% of your course grade. Do not write on the space below, for markers only.
Page 2-7 8 9-10 11 12-13 14-15
Question 1-17 18 19abc 20ab 21abc 22abcd Total
Max 51 9 9 9 9 13 100
Mark
1
Part 1. Multiple Choice (3 marks each, no part marks. 51 marks in total) 1. In testing H 0 : p 0.7 against H a : p 0.7 , the p-value is 0.0231. Which one of the following statements is true? (a) Reject H 0 if the significance level is less than 0.01. (b) Reject H 0 if the significance level is less than 0.05. (c) A 99% confidence interval for p must contain the value 0.7. (d) A 95% confidence interval for p must contain 0.7. (e) None of the above is true, the sample data is not given. 2. Suppose H 0 : p 0.45 is to be tested against H a : p 0.45 at the =0.05 level of significance where p is the probability of getting a “yes” vote in a population. If the sample size is 400, the number of “yes” votes that will cause H 0 to be rejected is closest to (a) 151 Solution: At p 3. (b) 154 =0.05, reject H 0 if Z (c) 157
1.645 , i.e.,
(d) 161
(e) 164 1.645 ,
p 0.45 0.45 0.55 / 400
0.409081141 , 400 p
163.64 .
Consider H 0 : 20 and H a : 20 where is the mean of a Normal population. A sample of size 16 is selected from this population, and the sample