In: Statistics and Probability
For each scenario, indicate whether it is an example of making a probability statement (about samples, using knowledge about a population or parameters) or of inference (about a population or parameter, using data), briefly explaining why (1 sentence). (Example format: “Inference, because ___.”)
a) Using a percentile chart, we figure out how likely it is one of the next 20 babies born in this hospital will be above the 99th percentile for weight.
b) Through census data we know the distribution of income for Canadians. Using the central limit theorem, we figure out how probable it is that a random sample of 500 Canadians will include at least 180 Canadians who fall below a low-income threshold.
c) We run a survey of randomly selected Torontonians to see whether they have had symptoms of fever in the last week. Using the resulting data we form a confidence interval for the true proportion of people in the city who had fevers.
d) We figure out the chance of getting seven heads in a row at least once if a fair coin is flipped one hundred times.
e) We run a regression of grades versus study time for a sample of 1,000 students to estimate the effect of studying on grades.
f) We take the difference between two sample proportions and make a confidence interval for the true difference.
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