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Question: In the language of government statistics, you are "in the labor force" if you are available for work and either working or actively seeking work. The unemployment rate is the proportion of the labor force (not of the entire population) who are unemployed. Here are data from the Current Population Survey for the civilian population aged 25 years and over in a recent year. The table entries are counts in thousands of people.
Unemployment (5.3) Are the events "in the labor force" and "college graduate" independent? Justify your answer.
What's the probability that in a city of 10,000 there are more than 200 people with this condition? Be sure to verify that a Normal model can be used here.
What is the probability of drawing a red ball on the second draw if the first one is put back in the box after it is drawn?
What is the probability that you draw a bay or a red dun on the first draw, replace that horse, and then draw a black horse?
(a) Draw a boxplot of these data. Do you think a normality assumption is reasonable? (b) Calculate a 95% confidence interval for the mean payback period for this sort of retro-fitted double glazing. (c) How large a sample would be needed to estimate ..
What is the explained variation? What is the mean square error and calculate the Coefficient of Determination and the Adjusted coefficient of Determination and Test for the overall usefulness of the model using F-Statistic at 5% and 1% significance..
These data were obtained in a comparison of two different methods for determining dissolved oxygen concentration (in milligrams per liter):
the thicknesses of six pads designed for use in aircraft engine mounts were measured. the results in mm were 40.93
If the analyst finds evidence that the boast of dealership A is correct. What will be your critical value? What is the value of the test statistic? the boast of dealership A is correct?
Based on these sample data, what should Cooper's engineers conclude about the production output if they test using an a = 0.01? Discuss.
Since the Q-function represents the tail probability of a Gaussian random variable,- Use Markov's inequality to produce an upper bound on the Q-function.
Two automatic dispensing machines are being considered for use in a fast-food chain. The first dispenses an amount of liquid that has a normal distribution with a mean of 11.9 ounces and a standard deviation of 0.07 ounces.
Find the probability that both light bulbs failed the test. Find the probability that both light bulbs passed the test. find the probability that at least one light bulb failed the test.
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