Stitistical Inference all previous/ past papers

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Stitistical Inference Final  paper in 2019

Question 1

(a) Differentiate between parametric and non parametric tests? Why non parametric test are used widely?                 (3+2)

(b) Give short answers (2X3)

1. Explain method of least square
2. Differentiate between cyclical trend and irregular trend
3. Differentiate between regression and correlation

Question 2

(a) A travel agency has kept the record of the number of holidays booked and the number of complaints received over the past eight years. The data is as follows: (10)

Year	2011	2012	2013	2014	2015	2016	2017	2018
Number of holidays booked (x)	246	192	221	385	416	279	343	582
Number of complaints received (y)	94	80	106	183	225	162	191	252

Construct freehand curve and calculate semi average method and three year moving average

(b) The following are the number of hours which 10 students studied for an examination and the scores they obtained:

Number of Hours Studied	8	5	11	13	10	6	14	15	2	9
Score	56	44	79	72	70	54	94	85	33	65

Calculate Spearman’s Rank Correlation coefficient.              (7)

(c) A company has the following data on its sales during the last year in each of its regions and the corresponding number of salespersons employed during this time:    (12)

Region	A	B	C	D	E	F
Sales(units)	236	324	298	250	246	202
Salespersons	11	12	18	15	13	10

1. Draw a scatter diagram.
2. Find the equation of regression line between Sales and Salespersons?
3. Estimate sales if salespersons are 14

Question 3

Find correlation coefficient and coefficient of determination the marks of 10 students in mathematics and statistics.   (10)

Marks in statistics	42	44	48	42	32	32	44	44	48	35
Marks in mathematics	39	47	39	45	28	39	43	29	43	29

 

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