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 nequals=6161, find the probability of a sample mean being less than 19.819.8 if muequals=2020 and sigmaequals=1.311.31. LOADING... Click the icon to view page 1 of the standard normal table. LOADING... Click the icon to view page 2 of the standard normal table. For a sample of nequals=6161, the probability of a sample mean being less than 19.819.8 if mu equals 20=20 and sigmaequals=1.311.31 is nothing. (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean would not would be considered unusual because it has a probability that is greater less than

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =1.31/(61)1/2 =0.1677

therfore  probability of a sample mean being less than 19.8 =P(X<19.8)=P(Z<(19.8-20)/0.1677)=P(Z<-1.1924)

=0.1166

as above is higher then 0.05 level;

therefore The sample mean would not  be considered unusual because it has a probability that is  greater  than 0.05.

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