A population of values has a normal distribution with

=

176.7

=176.7

and

=

82.9

=82.9

. You intend to draw a random sample of sizen

=

93

n=93

.

Find the probability that a single randomly selected value is greater than 181.9.

P(X> 181.9) =

Find the probability that a sample of sizen

=

93

n=93

is randomly selected with a mean greater than 181.9.

P(M> 181.9) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.