## November 26, 2017

### MB0040 [STATISTICS FOR MANAGEMENT] Set2 Assignments

SMU MBA SEMESTER 1
MB0040 – STATISTICS FOR MANAGEMENT
(Book ID: xxxxxxx)
Assignment Set-2
1st Sem Spring/Fall Assignments

Note: Each question carries 10 Marks. Answer all the questions.

Q1. A random sample of 6 sachets of mustard oil was examined and two were found to be leaking. A wholesaler receives seven hundred twenty six packs , each containing 6 sachets. Find the expected number of packets to contain exactly one sachet leaking?

Q2. What do you mean by errors in statistics? Mention the measures to do so.

Q3. From a population known to have a standard deviation of 1.4, a sample of 70 individuals is taken. The mean of this sample is found to be 6.2. Find the standard error of the mean. Also establish an interval estimate around the sample mean using one standard deviation of the mean.

Q4. A machine is designed so as to pack 300ml of a solution with a standard deviation of 5ml. A sample of 150 bottles when measured had a mean content of 201.3ml. Test whether the machine is functioning properly.(use 5% level of significance)

Q5. Out of 2000 people surveyed, 1200 belong to urban areas and rest to semi urban areas. Among 1000 who visited other regions, 800 belonged to urban areas. Test at 5% level of significance whether area and visiting other states are dependant.

Q6. How is statistics useful for modern managers? Give examples and explain.