# The population mean and standa

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 being greater than 213 if μ=212 and σ=3.5.

For a sample of n=65​, the probability of a sample mean being greater than 213 if μ=212 and σ=3.5 is 77.
​(Round to four decimal places as​ needed.)
Would the given sample mean be considered​ unusual?
The sample mean
would
would
would not
be considered unusual because it
does not lie
lies
does not lie
within the range of a usual​ event, namely within
2 standard deviations
1 standard deviation
2 standard deviations
3 standard deviations
of the mean of the sample means.

# The population mean and standa

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=70​, find the probability of a sample mean being greater than 213 if μ=212 and σ=5.8.
For a sample of n=70​, the probability of a sample mean being greater than 213 if μ=212 and σ=5.8 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.

# The population mean and standa

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=61​,

find the probability of a sample mean being less than

25.1

if

μ=25

and

σ=1.21.

Click the icon to view page 1 of the standard normal table.

Click the icon to view page 2 of the standard normal table.

For a sample of

n=61​,

the probability of a sample mean being less than

25.1

if

μ=25

and

σ=1.21

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

less
greater

than​ 5%.

# The population mean and standa

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=63​,

find the probability of a sample mean being less than

19.9

if

μ=20

and

σ=1.34.

Click the icon to view page 1 of the standard normal table.

Click the icon to view page 2 of the standard normal table.

For a sample of

n=63​,

the probability of a sample mean being less than

19.9

if

μ=20

and

σ=1.34

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 has a probability that is

greater
less

than​ 5%.

# The population mean and standa

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=68​,

find the probability of a sample mean being less than

19.5

if

μ=20

and

σ=1.27.

Click the icon to view page 1 of the standard normal table.

Click the icon to view page 2 of the standard normal table.

For a sample of

n=68​,

the probability of a sample mean being less than

19.5

if

μ=20

and

σ=1.27

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​ 5%.

# The population mean and standa

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=64​,

find the probability of a sample mean being less than

23.2

if

μ=23

and

σ=1.34.

Click the icon to view page 1 of the standard normal table.

Click the icon to view page 2 of the standard normal table.

For a sample of

n=64​,

the probability of a sample mean being less than

23.2

if

μ=23

and

σ=1.34

is

nothing.
​(Round to four decimal places as​ needed.)

# The population mean and standa

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 being greater than 213 if μ=212 and σ=3.5.
For a sample of n=65​, the probability of a sample mean being greater than 213 if μ=212 and σ=3.5 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

lies
does not lie
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.

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