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What does the confidence level of a confidence interval tell you?
Suppose that a population has mean, µ, and standard deviation, σ. What does the central limit theorem tell us about the distribution of the sample mean?
Government regulations indicate that the total weight of cargo in a certain kind of airplane cannot exceed 310 kg. On a particular day a plane is loaded with 100 boxes of a particular item only. Historically, the weight distribution for the individual boxes of this variety has a mean of 3.2 kg and standard deviation 0.4 kg.
a. Interpret the meaning of the "a mean of 3.2 kg" in terms of repeated samplng.
b. What is the distribution of the sample mean weight for the boxes (give the name of the distribution and appropriate parameter values)?
c. What is the probability that the government regulation is met?
Simulation When decisions are to be taken under conditions of uncertainty, simulation can be used. Simulation as a quantitative method requires the setting up of a mathematical
To determine the proportion of people in your town who are smokers, it has been decided to poll people at one of the following local spots: (a) the pool hall; (b) the bowling alley
Jocko's Garage has been accused of insurance fraud. Data on estimates made by Jocko and another garage were obtained for 10 damaged vehicles (available in 'jockogarage.txt'). Here
Let X, Y, and Z refer to the three random variables. It is known that Var(X) = 4, Var(Y) = 9, and Var(Z) = 16. It is further known that E(X) = 1, E(Y) = 2, and E(Z) = 4. Furthermor
Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual
The file Midterm Data.xls has a tab labeled "Income Data 2009". This data is collected income data from a sample of 400 people in 2009. Use a hypothesis test to see whether the av
If the sample size is less than 30, then we need to make the assumption that X (the volume of liquid in any cup) is normally distributed. This forces (the mean volume in the sam
worked model
For many decades, there has been considerable attention paid to identifying various factors that help to reduce the number of fatalities on Australian roads. In 1964 Victoria and S
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