The annual sales of dealers of a company follows the normal distribution with its mean as K94. A random sample of 10 dea

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The annual sales of dealers of a
company follows the normal distribution with its mean as K94. A
random sample of 10 dealers of the company is taken from the normal
population. The variance of the annual sales of these 10 dealers is
K81. Find the probability that the mean annual sales of the sample
is
i. Less than
K98
ii. More than
K98
(b) The
personnel manager of a company feels that 60% of the employees will
have enhanced skill after attending the training programme if they
are sponsored for an in-house training programme. A sample of
records of 49 employees of the company, who attended the training
programme on skill development, reveals that only 24 of them are
having enhanced skill after attending the training programme. Find
the probability that the sample of employees who attended the
training programme have enhanced their skill.
Mean Height
Standard Deviation
Adult Men
170cm
8cm
Adult Women
164cm
6cm
Find a 90% confidence interval for the
difference of mean height of adult men and women.
n
x
s2
Placebo
12
65
31.11
Caffeine
8
78
28.67
Test the hypothesis that caffeine has
no effect on the pulse rates of young men (use a 1% level of
significance).