The population mean and standard deviation are given below. Find the required pr

Question

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n 65, find the probability of a sample mean For a sample of n-65, the probability of a sample mean being greater than 216 Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean sample means being greater than 216 215and -5.6. 215 and 5.6 is be considered unusual because it 1 within the range of a usual event, namely within! ofthe mean ofthe

Explanation / Answer

Result:

Standard error = sd/sqrt(n) = 5.6/sqrt(65) = 0.6946

Z value for 216, z = (216-215)/0.6946 =1.44

P( mean x > 216) = P( z > 1.44)

= 0.0749

The sample mean is not to be considered unusual because it is within the range of a usual event, namely within 2 standard deviations of the mean of the sample means

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