A random variable X follows a normal distribution with mean 135 and standard deviation 12. If a sample of size 10 is taken, find P (x̅ < 137). (4 decimal places) Find the answer using StatCrunch.
Solution :
Given that ,
mean = = 135
standard deviation = = 12
n = 10
_{} = = 135 and
_{} = / n = 12 / 10 = 3.7947
P( < 137) = P(( - _{} ) / _{} < (137 - 135) / 3.7947)
= P(z < 0.527)
= 0.7009
Probability = 0.7009
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