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Landon is doing some simulations to see how well the simulated coverage rate compares to the nominal 95% coverage rate in various situations. For each situation Landon simulates 10,000 samples and computes the coverage rate.
a) How high or low must the simulated coverage rate be for Landon to suspect that the true coverage rate is not 95%? Assume our usual threshold of significance, α = 0.05.
b) Do we have evidence that any of the 95% confidence interval simulations performed in this chapter do not have coverage rates of 95%?
c) Landon realizes that his methods are only approximations. How high or low must the simulated coverage rate be for Landon to suspect that the true coverage rate is not between 94% and 96%?
d) Do we have evidence that any of the 95% confidence interval simulations performed in this chapter do not have coverage rates between 94% and 96%?
One indication of morale in county government positions is the length of service in the current position.
Write a function that takes a sequence (vector) of 0 or 1 as input and returns the starting locations of runs of 0's and runs of 1's, where the length of a run is set to an integer K ≥ 1.
Bernoulli. Can we use probability models based on Bernoulli trials to investigate the following situations? Explain. a) Each week a doctor rolls a single die to determine which of his six office staff members gets the preferred parking space.
A New York Times article on grade inflation reported several findings related to a tendency for average grades to rise over the years and a tendency
Choose and make data displays. Describe the shapes of the samples and how they differ.- Perform a t test to compare the population mean repair times. Give hypotheses, the test statistic, and the P-value.
The table shows the world's five largest crude oil producing countries and their total oil output in percentage for the years 2011 and 2012.
Suppose you are trying to estimate the average miles per gallon for a new brand of car. You take a random sample of 40 cars, and, for this sample, the average miles per gallon is 32 and the standard deviation for this sample is 2.2. Answer the fol..
Write three quadratic equations within a, b, c (coefficients of x^2, x and the constant as 1 integers, 2 rational, 3 irrational numbers).
To test whether two polulations are equal - Since the p value is lesser than 0.05 we reject the null hypotheses
a population has a standard deviation of o 24.a. on average how much difference should exist between the population
Let x be N(µ,σ2 ) and consider the transformation x=log(y) or equivalently y=exp(x). Find the mean and the variance of y by first determining E(exp(x)) and E[(exp(x)^2 ], by using the moment generating function of x.
Online social networking. The Parents & Teens 2006 Survey of 935 12- to 17-year-olds found that, among teens aged 15-17, girls were significantly more likely.
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