Question: (1) A random variable is normally distributed with mean, = $1500 and standard deviation, = 100. Determine the standard error of the sampling distribution of

(1) A random variable is normally distributed with mean, = $1500 and standard deviation, = 100.

Determine the standard error of the sampling distribution of the mean for simple random samples with

a. n = 16. b. n = 100. c. n = 400. d. n = 1000.

(2) For a random variable that is normally distributed, with = 1300 and = 250, determine the probability that a simple random sample of 9 items will have a mean that is

a. greater than 1500 b. between 1425 and 1500 c. less than 225

Explain it clearly and need only typed answers Thank you

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