End Term
Post Graduate Diploma in Management -I End term Examination (Section A and B)
Full Marks: 40 Time : 2 ½ Hours
1. Random samples of 8 financial analysts were asked to predict the earnings of General Motors for the coming year. Suppose the distribution of predictions for the population of financial analysts is normal.
a) The probability is 0.10 that the sample variance is more than what percentage of the population variance? b) Determine any pair of numbers a and b to complete the following sentence: The probability is 0.95 that the sample variance is between a% and b% of the population variance.
2. A random sample of 202 vice presidents of marketing in corporations from the manufacturing sector were given a list of 11 marketing areas, and asked to nominate the area they believed to be most important. “Pricing” was selected by 16.1% of the sample members. Find 80% and 90% confidence intervals for the population proportion of all vice presidents of marketing in the manufacturing sectors viewing pricing as the most important marketing area.
3. A professor of finance has administrated a standard examination to his students in an introductory course over a period of several years. He has found that the scores follow with mean 75.2 and standard deviation 10.4. The professor takes a years leave of absence to teach at another university, where, at the end of his course, he administers the same examination to 20 students, who can be regarded as the random sample of all the University’s finance students. These students achieved a sample mean of 73.5. Assuming a normal population with standard deviation 10.4, test at 5% level of significance, against a two sided alternative, the null hypothesis that the population mean score is 75.2 Find the p-value of this test.
4. The data on advertisement cost and return are given below (17 observations)
Cost Return Cost Return 4.07 17.41 1.50 78.74
Full Marks: 40 Time : 2 ½ Hours
1. Random samples of 8 financial analysts were asked to predict the earnings of General Motors for the coming year. Suppose the distribution of predictions for the population of financial analysts is normal.
a) The probability is 0.10 that the sample variance is more than what percentage of the population variance? b) Determine any pair of numbers a and b to complete the following sentence: The probability is 0.95 that the sample variance is between a% and b% of the population variance.
2. A random sample of 202 vice presidents of marketing in corporations from the manufacturing sector were given a list of 11 marketing areas, and asked to nominate the area they believed to be most important. “Pricing” was selected by 16.1% of the sample members. Find 80% and 90% confidence intervals for the population proportion of all vice presidents of marketing in the manufacturing sectors viewing pricing as the most important marketing area.
3. A professor of finance has administrated a standard examination to his students in an introductory course over a period of several years. He has found that the scores follow with mean 75.2 and standard deviation 10.4. The professor takes a years leave of absence to teach at another university, where, at the end of his course, he administers the same examination to 20 students, who can be regarded as the random sample of all the University’s finance students. These students achieved a sample mean of 73.5. Assuming a normal population with standard deviation 10.4, test at 5% level of significance, against a two sided alternative, the null hypothesis that the population mean score is 75.2 Find the p-value of this test.
4. The data on advertisement cost and return are given below (17 observations)
Cost Return Cost Return 4.07 17.41 1.50 78.74