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UNIVERSITY OF PROFESSIONAL STUDIES, ACCRA (UPSA)

FACULTY OF ACCOUNTING AND FINANCE

ASSIGNMENT

PDBA 122: BUSINESS STATISTICS

Submission Date: 10TH May, 2020

INSTRUCTIONS: Answer all questions

1. Given P(A) = 0.23, P(B) = 0.37 and P(A ? B) = 0.44, find P(B|A). [3 marks]

2. Bags of smokeless fuel are labeled as weighing 100kg, but actual weights are normally

distributed with a mean of 102kg and a standard deviation of 4kg.

(i) What proportion of bags will weigh more than 106kg? [2 marks]

(ii) What proportion of bags will weigh less than 95kg? [2 marks]

(iii) What proportion of bags will weigh between 91kg and 112kg? [3 marks]

3. Consider the frequency distribution below

Class Intervals 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80

Frequency (??) 3 8 12 15 18 16 11 5

Use the above distribution to compute;

(i) the mean. [2 marks]

(ii) the median. [3 marks]

(iii) the coefficient of skewness and comment on your result. [5 marks]

4. The following information is obtained from the records of a business organisation:

Sales (????¢000) , ?? 1 2 3 4 5 6

Advertisement Expense

(????¢000), ??

5.0 10.5 15.5 25.0 16.0 22.5

(a) Draw a scatter diagram for this data and comment on the association (if any).

(b) Calculate the Pearson’s product moment correlation coefficient between the two variables

and comment on the result.

(c) Calculate the coefficient of determination and comment on the result.

(d) Find the linear regression equation of ?? on ??.

(e) What is the cost of production for production volumes of 10,000 units?

[Total Marks: 20 marks]

UNIVERSITY OF PROFESSIONAL STUDIES, ACCRA (UPSA)

FACULTY OF ACCOUNTING AND FINANCE

ASSIGNMENT

PDBA 122: BUSINESS STATISTICS

Submission Date: 10TH May, 2020

INSTRUCTIONS: Answer all questions

1. Given P(A) = 0.23, P(B) = 0.37 and P(A ? B) = 0.44, find P(B|A). [3 marks]

2. Bags of smokeless fuel are labeled as weighing 100kg, but actual weights are normally

distributed with a mean of 102kg and a standard deviation of 4kg.

(i) What proportion of bags will weigh more than 106kg? [2 marks]

(ii) What proportion of bags will weigh less than 95kg? [2 marks]

(iii) What proportion of bags will weigh between 91kg and 112kg? [3 marks]

3. Consider the frequency distribution below

Class Intervals 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80

Frequency (??) 3 8 12 15 18 16 11 5

Use the above distribution to compute;

(i) the mean. [2 marks]

(ii) the median. [3 marks]

(iii) the coefficient of skewness and comment on your result. [5 marks]

4. The following information is obtained from the records of a business organisation:

Sales (????¢000) , ?? 1 2 3 4 5 6

Advertisement Expense

(????¢000), ??

5.0 10.5 15.5 25.0 16.0 22.5

(a) Draw a scatter diagram for this data and comment on the association (if any).

(b) Calculate the Pearson’s product moment correlation coefficient between the two variables

and comment on the result.

(c) Calculate the coefficient of determination and comment on the result.

(d) Find the linear regression equation of ?? on ??.

(e) What is the cost of production for production volumes of 10,000 units?

[Total Marks: 20 marks]

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