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# A population of values has a normal distribution with = 12.1 =12.1 and = 30.3 =30. You intend to draw a random sample of size n = 23 n=23 .

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.

P ( X  &gt; -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

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