A population of values has a normal distribution with μ

=

12.1

μ=12.1

and σ

=

30.3

σ=30.3

. You intend to draw a random sample of size n

=

23

n=23

.

Find the probability that a single randomly selected value is greater than -7.5.

*P*(*X* > -7.5) =

Find the probability that a sample of size n

=

23

n=23

is randomly selected with a mean greater than -7.5.

*P*(*M* > -7.5) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact *z*-scores or *z*-scores rounded to 3 decimal places are accepted.

#### Top Answer

P ( X > -7.5) = Z=(X-μ)/σ =(-7.5-12.1)/30.3 =-0.647 From normal distribution tables =0.2578(this is for area to the... View the full answer