STATISTICS AND DATA PROCESSING (CENP4116)

Computer Engineering - CEN

Semester: First Semester

Level: 400

Year: 2015

COLTECH Level 3
CA Statistics and Data Processing
19-05-2015. Duration: 2 Hours
Question 1 (8 points)
a) Scores on a standardized test are approximately normally distributed with mean 480
and standard deviation of 90.
i. What proportion of the scores is above 90?
ii. What proportion of the scores is between 420 and 520?
b) The sample mean and standard deviation of the filled-weight of 100 boxes are 12.05
and 0.1 respectively. Find a 95% and 99.7% confidence interval for the mean filled
weight of all the boxes.
Question 2 (7 points)
Compute the correlation coefficient and the equation of the least-squares (regression) line in
y with respect to x of the data given in the following table. Interpret your correlation
coefficient.
x
53
43
73
63
103
83
93
y
4
6
8
10
12
14
16
Success Wishes!!!
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