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A paper by Emily Oster of Harvard University, published in the Social Science Research Network's electronic library in 2004, explored the "possibility that the witchcraft trials [between 1520 and 1770] are a large-scale example of violence and scapegoating prompted by a deterioration in economic conditions. In this case, the downturn was brought on by a decrease in temperature and resulting food shortages. [. . .] Witches became target for blame because there was an existing cultural framework that both allowed their persecution and suggested that they could control the weather."28 Time series plots of standardized temperatures and standardized trials, both of which incorporated trends over all of Europe, show a rather convincing pattern: Many decades for which there was a relative trough in temperature showed an accompanying spike in trials; most notably, when temperatures reached an extreme low-point around 1740, trials hit an alltime high.
a. If we consider the relationship between witchcraft trials and weather, which should play the role of explanatory variable and which response?
b. Suppose that instead of looking at time series plots for both variables, we looked at a scatterplot for trials and temperature. Would the correlation be positive or negative?
in a remote tropical region there is a direct road from a to b but it is impassable about 50 of the time due to rain.
When we test a simple null hypothesis against a composite alternative, a critical region is said to be unbiased if the corresponding power function takes on its minimum value at the value of the parameter assumed under the null hypothesis.
1. if a uniform distribution and normal distribution both have the same mean and the same range the normal distribution
What is the importance of the null hypothesis? Why has it been the backbone of mainstream hypothesis testing for decades? What are its limitations?
Iron in food cooked in iron pots. The data show that food cooked in iron pots has the highest iron content. They also suggest that the three types of food.
Suppose that Total Revenue = 200Q and Total Cost = 80 + 50Q where Q, the quantity sold, is a random variable with expected value 20 and variance 4.
let x be normally distributed random variable with mean u and variance s2 4.84. determine the the size of the sample
Can eating slower reduce how much we eat in a meal? In one variation of a study conducted by Privitera, Cooper, and Cosco (2012).
According to a recent survey by the National Retail Federation, men spent an average of $135.35 on Valentine's Day gifts (compared with $72.28 for women).
Under what conditions are these the same dynamic model? What hypothesis test(s) would we need to use to determine whether these are the same or different model?
What is the relationship between confidence intervals and hypothesis testing? How are they similar? How are they different? Which one is better?
we have given the number of successes and the sample size for a simple random sample from a population. in each case do
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