Statistics Essay Example

Statistics Essay Example Statistics Essay Statistics Essay Master of Business Administration – MBA Semester I Subject code – MB0040 Subject Name – Statistics For Management Assignment Set – 1 Q. 1. Why it is necessary to summarise date? Explain the approaches available to summarize the data distributions? Q. 2. Explain the purpose of tabular presentation of statistical data. Draft a form of tabulation t show the distribution of population according to i) Community by age, ii) Literacy, iii) Sex, and iv) Marital status. Q. 3. Give a brief note of the measures of central tendency together with their merits and Demerits. Which is the best measure of central tendency and why: Q. . Machines are used to pack sugar into packets supposedly containing 1. 20 kg each. On testing a large number of packets over a long period of time, it was found that the mean weight of the packets was 1. 24 kg and the standard deviation was 0. 04 kg. a particular machine is selected to check the total weight of each of the 25 packets filled c onsecutively by the machine. Calculate the limits within which the weight of the packets should lie assuming that the machine is not been classified as faulty. Q. 5. A packaging device is set to fill detergent powder packets with a mean weight of 5 kg. he standard deviation is known to be 0. 01 kg. these are known to drift upwards over a period of time due to machine fault, which is not tolerable. A random sample of 100 packets is taken and weighed. This sample has a mean weight of 5. 03 kg and a standard deviation of 0. 21 kg. can we calculate that the mean weight produced by the machine has increased? Use 5% level of significance. Q. 6. Find the probability that at most 5 defective bolts will be found in a box of 200 bolts if it is known that 2 percent of such bolts are expected to be defective. (you may take the distribution to be Poisson; e=0. 0183)