Business Statistics – Assignment Solution NMIMS Dec18

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Assets Expense Ratio Return 2006 3-Year Return 5-Year Return
904.8 1.51 4.6 10.7 8.1
675.9 1.28 8.5 11.9 7.3
909.7 0.80 13.1 10.4 6.3
52.2 1.50 11.6 10.3 6.4
8411.5 0.63 10.9 12.4 8.0
282.3 1.22 7.1 10.2 8.0
9870.7 0.86 12.3 15.0 7.7
424.8 1.13 12.3 11.0 6.2
15422.9 0.72 14.0 10.2 6.2
497.9 1.36 8.6 12.0 7.3
547.3 1.09 7.5 12.8 7.2
5527.1 0.41 11.2 10.2 6.5
22592.9 0.46 12.3 13.0 8.4
240.8 1.42 4.4 10.3 6.6
2403.4 0.93 8.0 10.1 4.3
233.3 1.33 6.5 9.4 5.4
71.2 0.15 15.4 6.6 5.0
506.9 1.15 11.2 9.3 4.5
221.6 1.12 13.2 8.9 4.7
434.9 1.19 14.2 12.3 7.1
7834.2 0.56 13.7 9.6 5.5
152.1 1.34 12.4 9.6 4.6
815.4 0.73 13.0 8.9 4.5
85.7 0.45 13.2 9.6 4.0
166.1 1.41 3.3 7.8 5.3
47.2 0.74 8.1 10.8 5.7
6955.2 0.87 7.8 10.7 5.8
135.4 1.25 14.6 8.2 5.8
142.0 1.18 9.2 9.7 5.6
601.8 1.00 9.7 7.9 3.8

Q1. For the data on 31 mutual funds given above, conduct the following analysis:

i. Determine the measures of central tendency and of dispersion for the five variables.

ii. Provide the five-number summary i.e. the minimum, 1st quartile, median, 3rd quartile and maximum value for asset size.

Interpret the above results and comment on how the data is distributed.

Answer 2:

Q2. For the same data on mutual funds given above:

i. Is there a strong association between asset size and expense ratio?

ii. Create a scatterplot diagram depicting the association between the two variables.

iii. Using the regression equation, predict the 5-year return of a fund whose 3-year return was 8%.

Q3. Assume there are 400 athletes in a training camp, who are required to attend the morning drill starting at 4 am. The attendance in morning drills is 70%, i.e. on an average, 280 athletes are present. Fifty new athletes are admitted in this batch.

a. What is the probability of attendance being at least 70% among the new athletes, thus ensuring the overall attendance does not fall below 70%? (5 Marks)

b. The training coach thinks that this probability will increase, if the new batch size is 40 instead of 50 students. Is he right in assuming so? (5 Marks)