STA248H1 Lecture Notes - Lecture 6: Null Hypothesis, Statistical Model, Statistical Hypothesis Testing
27 Oct 2015
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A hypothesis is a conjecture about the distribution of some random variables. For example, a claim about the value of a parameter of the statistical model. The null hypothesis, 0, is the current belief. The alternative hypothesis, (cid:3028), is your belief; it is what you want to show. Examples: each of the following situations requires a significance test about a population mean. State the appropriate null hypothesis 0 and alternative hypothesis (cid:3028) in each case. (a) the mean area of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. 3 (b) larry"s car consumes on average 32 miles per gallon on the highway. He now switches to a new motor oil that is advertised as increasing gas mileage.
