Question

•Write the claim as a math statement, its opposite, and then determine H0and H1and the tail...

•Write the claim as a math statement, its opposite, and then determine H0and H1and the tail type.

•Test the claim using the traditional (critical value) method:

•Sketch the appropriate distribution showing the tail(s) and their area, and give the critical value(s) determined from the appropriate distribution table.

•Show the test statistic formula with the relevant numbers in place, and determine the test statistic value. Show where this value is located on the sketch of the distribution.

•State the proper conclusion of the test with regard to H0and the conclusion with regard to the original claim.

•Determine the p-value using the distribution tables and confirm the conclusion about H0.Note: the p-value will be a single number if the test requires the use of a standard normal distribution, otherwise you will obtain a range of values (for example p>0.01).

A sample is made of 18 random brush fires. From the sample it is found that the mean area burned is 85 acres and the standard deviation is 7.7 acres.Test the claim that the mean area burned is 80 acres using a 1% significance level.

Math   Statistics-And-Probability   
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