Question

In: Statistics and Probability

A researcher selects a sample of 100 participants from a population with a mean of 38...

A researcher selects a sample of 100 participants from a population with a mean of 38 and a standard deviation of 20. About 68% of the sample means in this sampling distribution should be between ______ and ______. Show your work

Expert Solution

Solution :

Given that,

= 38

= 20

Using Empirical rule,

= 38 and

= / n = 20 / 100 = 20 / 10 = 2

Using Empirical rule,

P( - 1 < < + 1 ) = 68%

P(38 - 1 * 2 < < 38 + 1 * 2) = 68%

P(36 < < 40) = 68%

About 68% of the sample means in this sampling distribution should be between 36 and 40 .

orchestra answered 3 years ago

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