nmims solved business statistics assignment june 2020

NMIMS Global Access

School for Continuing Education (NGA-SCE)

Course: Business Statistics

Internal Assignment Applicable for June 2020 Examination

Match No.	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
Player A	8	42	56	68	91	123	12	46	57	137	5	80	14	10	19
Player B	38	44	46	59	57	61	48	42	51	39	58	41	55	45	68

1. For the given data set representing the runs scored by two players in last 15 matches, conduct the following analysis:

i. Which average you will use to summarize the performance of the player? Find average runs scored for both of the players. Also give reasons for the choice of the average?

ii. If selection is possible on the basis of consistency, which player would you choose in the team? Perform the required statistics and justify the selection.

iii. Check whether there exists any relationship among the runs scored by two players using Karl Pearson coefficient of correlation and interpret the same. (10 Marks)

2. On the basis of the following data, the marketing manager wants to predict the sales volume for the locality on the basis of # households, number of cars and marketing expense

Sl.No.	Sales Volume		#Households		number of cars		marketing expense
1	15727		161		3		180
2	9328		99		1		150
3	13681		135		2		175
4	12379		120		2		165
5	15351		164		3		178
6	24174		221		5		220
7	20154		179		4		205
8	20671		204		5		210
9	22978		214		5		128
10	13522		101		1		176
11	22471		231		5		226
12	19529		206		4		296
13	24216		248		3		240
14	11521		107		2		168
15		197.82		205		3

i. Draw three scatter plots of sales volume with each of the three variables and comment on their correlation.

ii. Regress the sales volume on #household, number of cars and marketing expense. Calculate R square and interpret the same.

iii. Determine which variable is/are significant variable/s. Is there any insignificant variable? If yes, regress again, by dropping the variable. Will dropping that variable increases the adjusted R square?

(10 Marks) Hello Students hurry up!!!!

Your last date of assignment submission is

15 June 2020

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3. a. The height of the students in a certain class is following normal distribution with mean height as 165 cm and standard deviation of 25 cm. There are 60 students in that class. Determine

i. The number of students whose height is more than 158 cm.

ii. The number of students whose height is lying between 155 and 172 cm.

(5 Marks)

3. b. Find the lowest height among the tallest 5 student in a class.

(5 Marks)