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1. For n = 25, α = .01, σ = 5, and H0:µ ≥ 60, verify that power is .95 when µ = 56.
2. For n = 36, α = .025, σ = 8, and H0:µ ≤ 100, verify that power is .61 when µ = 103.
3. For n = 49, α = .05, σ = 10, and H0:µ = 50, verify that power is approximately .56 when µ = 47.
is a value of a random variable having the standard normal distribution. Also, use the first part of Theorem 3 and the fact that are independent to show that
1- as the confidence level increases while me stays the same does the required sample size increase decrease or stays
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Stat 11 Spring 2011 - Homework 4. Using the sample given in (12) with Method 1a, how many people would you estimate are in the class
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The article "The Statistics of Phytotoxic Air Pollutants" (J. of Royal Stat. Soc., 1989: 183-198) suggests the lognormal distribution as a model for SO2 concentration above a certain forest. Suppose the parameter values are µ = 1.9 and σ = .9.
epa studies of fuel consumption indicate compact car mileage to be normally distributed with a mean of 25.5 miles per
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