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

ID: 3061513 • Letter: T

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 equals = 75 75, find the probability of a sample mean being greater than 229 229 if mu equals = 228 228 and sigma equals = 6.1 6.1. For a sample of n equals = 75 75, the probability of a sample mean being greater than 229 229 if mu equals 228 =228 and sigma equals = 6.1 6.1 is nothing . (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean would would not be considered unusual because it does not lie lies within the range of a usual event, namely within 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.

Explanation / Answer

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

here mean=       = 228 std deviation   == 6.10000 sample size       =n= 75 std error=x=/n= 0.7044
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