Chapter 11: Q.37 (page 656)
test statistics ------
The value of test statistics is.
Given data
To find the test statistics:
Test StatistIcs
or
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A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.
A factory manager needs to understand how many products are defective versus how many are produced. The number of expected defects is listed in Table 11.5.
A random sample was taken to determine the actual number of defects. Table 11.6 shows the results of the survey.
State the null and alternative hypotheses needed to conduct a goodness-of-fit test, and state the degrees of freedom.
How many passengers are expected to travel between and miles and purchase first-class tickets?
Determine the appropriate test to be used in the next three exercises.
An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day's trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.
The Insurance Institute for Highway Safety collects safety information about all types of cars every year, and publishes a report of Top Safety Picks among all cars, makes, and models. Table 11.58 presents the number of Top Safety Picks in six-car categories for the two years 2009 and 2013. Analyze the table data to conclude whether the distribution of cars that earned the Top Safety Picks safety award has remained the same between 2009 and 2013. Derive your results at the 5%
significance level.
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