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(Solved): For random samples of size n = 16 selected from a normal distribution with a mean of = 75 and a ...
For random samples of size n = 16 selected from a normal distribution with a mean of ? = 75 and a stan- dard deviation of o = 20, find each of the following: a. The range of sample means that defines the middle 95% of the distribution of sample means b. The range of sample means that defines the middle 99% of the distribution of sample means
Expert Answer
Ans (a) µ = 75 ; ? = 20 n = 16 Expected value of the sampling distribution of the sample mean E(x? ) = µ = µx? = 75 standard deviation of the sampling distribution of the sample mean ?x? = ? / ?n = 20 / ? 16 = 20 / 4 = 5.0000 P(- Z0