Sorted data
Sum of observation =12602
Number of observation = 60
Mean
Median of the even numbers is computed below.
Mode
Maximum frequency is observed for 140 and hence, the mode of the data would be 140. Number of flights at the airport and the baggage’s sold
Third Quartile = 75th percentile
First Quartile = 25th percentile
IQR is more useful than standard deviation since it is less susceptible to being influenced by the extreme values present in the data along with the skewed nature of data (Hair et. al., 2015).
From the above value, it can be inferred that the linear relationship between the given variables is positive but moderate in strength (Hillier, 2016).
The correlation coefficient indicates that only 20.57% variation in the number of baggage’s sold would be explained in the variation in the number of flights at the airport (Flick, 2015).The cross table for the data is highlighted below.
Favourable cases
Total cases
Probability
Favourable cases
Total cases
Probability
Favourable cases
Total cases
Probability
|
Scientific training |
Grassroots training |
|
|
Recruited from club members |
=40/140 =0.2857 |
=100/140=0.7142 |
|
External recruitment |
=50/70=0.7142 |
=20/70 =0.2857 |
The above probability computations clearly highlight that the two events i.e. training and recruitment are not independent as the underlying probabilities of receiving a particular training is contingent on the recruitment method (Hillier, 2016). the requisite probability is 0.580 that consumer comes from A segment and prefers TV over Radio.
Distribution of x is highlighted below.Mean of the amount won per ticket is E(x).Standard deviation of the amount won per ticket Therefore, the mean and standard deviation of the amount won per ticket is 0.61132 and 6.63 respectively.
Normal distribution
Average speed of passenger train = 250 km per hour
Standard deviation = 30 km per hour
Hence, there is a 0.0475 probability that train will average less than 200 km per hour.
From standard normal table
Hence, there is a 0.7495 probability that train will average between 210 and 280 km per hour.
Average number of shoppers = 448 shoppers
Standard deviation = 21 shoppers
Random sample = 49
Probability that mean between 441 and 446 shoppers =?
Here,Therefore, the probability that mean between 441 and 446 shoppers 0.2415.
References
Flick, U. (2015) Introducing research methodology: A beginner’s guide to doing a research project. 4th ed. New York: Sage Publications.
Hair, J. F., Wolfinbarger, M., Money, A. H., Samouel, P., and Page, M. J. (2015) Essentials of business research methods. 2nd ed. New York: Routledge.
Hillier, F. (2016) Introduction to Operations Research 6th ed. New York: McGraw Hill Publications.
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