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

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A sample of ?=14n=14 observations is drawn from a normal population with ?=1030μ=1030 and ?=200σ=200. Find each of the following:

A. ?(?¯>1110)P(X¯>1110)

Probability

B. ?(?¯<944)P(X¯<944)

Probability = 

C. ?(?¯>997)P(X¯>997)

Probability =

Expert Solution
Step 1

Normal distribution is a continuous distribution which has many real-life applications. The normal curve is a bell-shaped curve and is symmetric about the mean.

A standard normal distribution is a normal distribution with mean 0 and standard deviation 1. For a normal distribution, the mean, median, and mode are equal.

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