Suppose a simple random sample of size n=81 is obtained from a population with mu=89 and sigma=27.
(a) Describe the sampling distribution of x overbar.
(b) What is P(x overbar > 92.9)?
(c) What is P( x overbar < or equals 82.7)?
(d) What is P(86 < x overbar < 96.35)?
a) sampling distribution of x overbar follows normal distribution from central limit thoerum as sample size n is greater than 30
here mean of sampling distribution =89
and standard deviation of sampling distribution of means =27/sqrt(81)=3
|for normal distribution z score =(X-μ)/σ|
( please try 0.3892 if this comes wrong)
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