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(The Von Neumann device) Suppose that one of two people is to be randomly chosen, with equal probability, to attend an important meeting.
One of them claims that using a coin to make the choice is not fair because the probability that it will land on a head or a tail is not exactly 0.50. How can the coin still be used for making the choice?
(Hint: Toss the coin twice, basing your decision on two possible outcomes.) Explain your answer.
Design an experiment using a staged manipulation to test the hypothesis that when people are in a good mood, they are more likely to contribute to a charitable cause. Include a manipulation check in your design.
a random sample of students was weighed after their first week of their first semester and weighed again after their
a study claims that 85 of bronx high school students experience homework problems. jessie wants to test this claim so
When the necessary conditions are met, a two-tail test is being conducted to test the difference between two population proportions.
the lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15
Use the method of least squares to model the relationship between x and y.
Formulate null and alternative hypotheses about the slope of the true regression line. State a two-sided alternative, and perform a significance test.
If a one-sided test indicates that the null hypothesis can be rejected where α = 0.05, would a two-sided test performed on the same data set be significant at the 0.05 level? Why or why not?
10 independent measurements were made of the pH level for both solutions, with the following data testing. Do the data disprove the scientist's claim? Use the 5% level of significance. What is the p-value?
Insurance companies collect annual payments from homeowners in exchange for paying to re- build houses that burn down.
Construct a 98% confidence interval for the average life expectancy of countries around the world. The data appear to be normally distributed.
Consider the Markov chain with general 2 × 2 transition matrix
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