Question

A sample of n=23 observations is drawn from a normal population with μ=960 and σ=160. Find each of the following:

A. P(X¯>1013)

I have a general idea of how to get the z- score, but am having
trouble moving forward from there.

Answer #1

Given observations from a normal population with μ=960 and σ=160. We need to find,

. The mean of the sample mean . The standard deviation of the sample mean is

. We compute the probability by converting to Z-score.

The probability,

I assume X¯ stands for . Otherwise you have to drop in the above calculations.

A sample of n=15 observations is drawn from a normal population
with μ=1060 and σ=150. Find each of the following:
A. P(X¯>1137)
Probability =
B. P(X¯<982)
Probability =
C. P(X¯>1009)
Probability =

A sample of n=14 observations is drawn from a normal population
with μ=1030 and σ=200. Find each of the following:
A. P(X¯>1110)
Probability =
B. P(X¯<944)
Probability =
C. P(X¯>997)
Probability =
THANK YOU!!

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