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Monday, 4 September 2017

Business Statistics- December 2017 Solved Assignment

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Internal Assignment Applicable for December 2017 Examination
Course: Business Statistics
1. The sample data from a research survey conducted in various countries on the amount of time 3-5 year-old children spent alone with their fathers each day is as follows:
Country                               Time with Dad (minutes)
Bangladesh                                        30
Bhutan                                                 46
China                                                    54
Nepal                                                    50
Pakistan                                              46
Nigeria                                                 42
Korea                                                    46
Russia                                                   42
India                                                     50
For the above sample, determine the following measures:
a. The mean
b. The standard deviation
c. The mode
d. The 75th percentile
Based on your calculations comment on the father-children relationship (10 Marks)

2. ‘Prince’ a chaiwala at Mumbai Central station believes that the sales of tea at his tea shop depends upon the weather. He has taken a sample of a week’s data. Below you are given the results of the sample.
Cups Sold                               Temperature
350                                                        50
200                                                        60
210                                                        70
100                                                        80
80                                                           90
70                                                           100
50                                                           110
a. Which variable is the dependent variable?
b. Compute the least squares estimated line.
c. Is there a significant relationship between the sales of coffee and temperature?
e. Predict sales of a 95 degree day.

3. According to one of the recent study published in an International report, the cost of medical malpractice in the United States is USD 55.6 billion a year, which is approximately 2.4 percent of US annual health-care spending. An earlier research report published in 2011, in the New England Journal of Medicine revealed that, during the period 1991 to 2005, 7.4 percent of all physicians licensed in the US had a malpractice claim. These staggering numbers not only contribute to the high cost of health care, but the size of successful malpractice claims also contributes to high premiums for medical malpractice insurance. The table below contains a sample of data set of claim payments made in a year’s time and other information about the claimant.
Amount (in USD)
Age
Marital Status
Insurance type
Gender
2
45
Single
Private
Male
5
34
Married
Medicare
Male
3.5
29
Married
Private
Female
160
46
Single
Workers compensation
Male
4
56
Married
Private
Female
155
45
Single
Private
Female
45
44
Married
Medicare
Male
3
56
Single
No insurance
Male
20
43
Single
Private
Male
a. Using descriptive statistics explore claim payment amounts, and identify factors that appear to influence the amount of the payment.
b. Do a correlation analysis between ‘Amount’ and ‘Age’ and interpreted the coefficient of correlation.
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