Central Limit Theorem 2.0

Question

A population of values has a normal distribution with  and . You intend to draw a random sample of size .

Find the probability that a single randomly selected value is less than 9.

P(X < 9) = 

Find the probability that a sample of size  is randomly selected with a mean less than 9.

P(M < 9) = 

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.

Answer 1

Hello Jessica B.,

I see 6 questions that you have submitted. Perhaps you need to hire a tutor.

You do need to tell the Experts whether you solve the problems with a table, a statistics calculator (such as the TI-83) or computer software (and tell the name).

One thing about these problems is that if you want the standard deviation for individual measurements, you use σ that they give you. However, if you want the standard error for groups of measurements like with

n =225, you must compute σ/√(n) (or your calculator or computer software may be doing that for you).