1) Calculate σ x-bar if μ= 2.0, σ=1.6, and n = 4. and What is the value of μ x-bar?
2) Write the binomial probability as a normal probability using the continuity correction. P(x>66).
Solution :
Given that,
1)
mean =
= 2
standard deviation =
= 1.6
n = 4
The sampling distribution of mean and standard deviation is ,

= 2 and

=
/
n = 1.6 /
4 = 1.6 / 2 = 0.8
2)
Using the continuity correction,
P(x > 66) = P(x > 66 + 0.5) = P(x > 66.5)
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