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MODULE IV
Derive the mean and varience of continuous uniform distribution.
OR

In a normal distribution 31% of the items are under 45 and 8% are over 64. Find the

mean and standard deviation of the distribution?

MODULE V
Explain different types of sampling.
OR
A random sample of 700 units from a large consignment showed that 200 were damaged.
Find (i) 95% and (ii) 99% confidence limits for the proportion of damaged units in

the consignment.

MODULE VI

The mean height of 50 male students who showed above average participation in college
athletics was 68.2 inches with a standard deviation of 2.5 inches; while 50 male students
who showed no interest in such participation had a mean height of 67.5 inches with a
standard deviation of 2.8 inches. Test the hypothesis that male students who participate in
college athletics are taller than other male students.

OR
In a big city 325 men out of 600 men were found to be smokers. Does this information

support the conclusion that the majority of men in this city are smokers?

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