Question

The population mean and standard deviation are given below. Find the required probability and determine whether...

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=6464​,

find the probability of a sample mean being less than

21.521.5

if

muμequals=2222

and

sigmaσequals=1.171.17.

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For a sample of

nequals=6464​,

the probability of a sample mean being less than

21.521.5

if

mu equals 22μ=22

and

sigmaσequals=1.171.17

is

negative 3.42−3.42.

​(Round to four decimal places as​ needed.)

Would the given sample mean be considered​ unusual?

The sample mean

would

would not

would

be considered unusual because it has a probability that is

greater

greater

less

than​ 5%.

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