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1. The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then calculated these total housing costs as a percent of monthly income, five years ago and now. The information is reported below. Is it reasonable to conclude the percent is less now than five years ago?
Homeowner Five Years Ago Now Homeowner Five Years Ago Now
1 17% 10% 11 35% 32%
2 20 39 12 16 32
3 29 37 13 23 21
4 43 27 14 33 12
5 36 12 15 44 40
6 43 41 16 44 42
7 45 24 17 28 22
8 19 26 18 29 19
9 49 28 19 39 35
10 49 26 20 22 12
A group of sheep, infested with tapeworms, are randomly divided into two groups as follows. Each sheep is assigned a number (1 through 20) and then 10 numbers
By law of averages. Bystander suggests him to quit, on ground that his luck is cold. Who is correct? Or are both of them wrong?
Develop a linear trend equation for the time series. Graph the time series and the linear trend equation. What appears to be happening to capital expenditures? What is the forecast one year, or four quarters, into the future?
Say you think your positive pairs trade returns are due to pairs trades you made on small stocks (measured by market capitalization). Describe how would you test this hypothesis?
A coin was flipped twenty times and landed heads fifteen times. Based upon this information, answer the following the question:
Suppose an airport scanning device has 98% accuracy in detecting certain kinds of metal objects (98% of people carrying these objects are correctly identified as carriers and 98% of people not carrying them are correctly identified as non-carriers..
Perform a significance test to assess whether there is an association between mortality from cirrhosis of the liver and duration of employment in the group hired after 1945. Report a p- value.
An investigator wants to design a study to estimate the difference in the proportions of men and women who develop early onset cardiovascular disease
Test the hypothesis that there is no difference in the mean scores of Exam 1 and Exam 2 against the alternative that the average is greater for the second exam.
Would the null hypothesis be accepted or rejected in this case?
Use Bayes's rule to find the conditional probability that Julianne is a carrier, given that she and Jason have one child who does not have cystic fibrosis.
State one referenced hypothesis including the three variables (FA as an IV, age as the covariate and RS as the DV)
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