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  3. assume a normal distribution of the form n(100, 10

Assume a normal distribution of the form N(100, 100), answer the following questions: What proportion of the...

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Basic Math

Assume a normal distribution of the form N(100, 100), answer thefollowing questions:

What proportion of the distribution falls within 1 standarddeviation of the mean (e.g., within -1 and 1 standarddeviation)?

What is the probability of a single draw from that distributionhas a value greater than 115?

What is the range that captures the middle 95% of the populationdistribution?

If I randomly sample 10 observations from this distribution andcalculate a mean, what is the probability that this mean is greaterthan 106?

If we center the sampling distribution on 100, then what is therange that will capture 95% of the means calculated from a sampleof 20 observations?

Answer & Explanation Solved by verified expert
3.6 Ratings (452 Votes)
Since the distribution is normal so according to the empirical rule 683 of the distribution falls within 1 standard deviation of the mean Data given to us is Mean m 100 Standard deviation S    See Answer
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