Compute the probability which we will get the sample mean, Ask an Expert

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Assume that we will arbitarily choose sample of 64 from population having mean equal to 20 and standard deviation equal to 4.

Explain shape of sampling distribution of sample mean x. Do we require to make any suppositions about shape of the population?

Determine the mean and standard deviation of sampling distribution of the sample mean x

Compute the probability which we will get the sample mean greater than 21; which is , compute P(x > 21).

Compute the probability that we will get the sample mean less than 19.385; that is, compute P(x < 19.385).

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