Answer the following problems with random samples taken from the normal population (The choices are attached) 1. Given a random variable X with a mean of 20, a variance of 9, and a random sample of n taken from the distribution, what sample size (n) is necessary in order that P(19.9 < X̄ < 20.1) = 0.95?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section: Chapter Questions
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Answer the following problems with random samples taken from the normal population

(The choices are attached)

1. Given a random variable X with a mean of 20, a variance of 9, and a random sample of n taken from the distribution, what sample size (n) is necessary in order that P(19.9 < X̄ < 20.1) = 0.95?

2. Study reports that the average person uses 120 liters of water daily. If the standard deviation is 20 liters, find the probability that the mean of randomly selected sample of 15 people will be between 120 and 125 liters.

Answer both questions please. I'll give rate. Thanks. 

3,600
4,000
25.36%
0%
2.75; 0.10
Not among the choices
3.78; 0.15
33.40%
Transcribed Image Text:3,600 4,000 25.36% 0% 2.75; 0.10 Not among the choices 3.78; 0.15 33.40%
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