Question 3 0/1 pt: An unknown distribution has a mean of 80 and a standard deviation...

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Answer 1

Answer #1

Let S denotes the sum for a random sample of size 95.

Since sample size is large enough ( > 30), we can approximate the sampling distribution of sample sum by normal distribution.

According to empirical rule,

95% values of a normal distribution will lie between (mean - 2*standard deviation, mean + 2*standard deviation)

So, (100 - 95) % = 5% values of a normal distribution will lie outside the interval (mean - 2*standard deviation, mean + 2*standard deviation)

Hence,

Percent of values will be above than mean + 2*standard deviation = 5/2 = 2.5%

The probability that sum is two standard deviations above the mean of the sums = 0.025 (ans)

Answer 2

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