Handout 2nd half for QMB class

Handout 2nd half for QMB class - QMB problems for 2nd half...

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QMB problems for 2 nd half of course 1. An engine manufacturer wants to test a new engine to determine whether it meets the new EPA air pollution standards. The mean emission of all engines of this type must be less that 10 parts per million of carbon. Ten engines are manufactured for testing purposes, and the mean and standard deviation of this sample of engines are determined to be 8.1 parts per million with a standard deviation of 2.0 parts per million. Test this hypothesis at a .01 level of significance. The alternative hypothesis is that the mean of the population is less than 10. 2. The following table indicates how much federal taxes was paid by individuals (Y) and X is the cost of their cars. Individual X Y XY X 2 Y 2 A B C D E F 20,000 32,000 35,008 30,000 40,000 50,000 5,012 7,680 8,432 8,774 11,008 16,565 Determine the Linear regression values 3. Nineteen bricks were tested by the Engineering School for breaking strength. The sample produces a mean breaking strength of 500 pounds and a sample standard deviation of 90 pounds. At the 5% level of significance, would we reject the null hypothesis that the mean breaking load is 510 pounds or more? 4. Steel Corporation produces mattress springs. The estimated variance based on fourteen measurements of a normally distributed spring tension was .35 gram and the mean was 35 grams. Test the hypothesis that the true value is 34 grams or less and the alternative hypothesis is that the 5. Napa Wine produces and distributes 3 brands of wine. Their marketing research department is trying to determine if win preference is related to the sex of the wine drinker. They collected the following sample data. Wine Brand Sex 1 2 3 Total Male 20 40 20 80 Female 30 30 10 70 Total 50 70 30 150 The null hypothesis is that wine brand is independent of sex of the wine drinker and the alternative hypothesis is that wine brand is not independent of sex of the wine drinker. Test it at a .05 level of significance.
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6. A bottling machine is known to produce 10 percent defective bottles. After repairing the machine it was found that it produced 8 defective bottles in the first run of 100. Test the null hypothesis that there is no change in the proportion of defective bottles after the repairs against the alternative hypothesis that the true proportion of defective bottles is reduced after the repairs? Test it at a 0.01 level of significance. 7. A career consultant wants to know whether individuals with degrees in business administration who work in the functional areas of (1) management, (2) accounting, and (3) finance have the same interest in business details. Interest in business detail is measure by an index. Random samples of interest in business detail were taken from individuals who work in three functional areas, and the results are presented in the accompanying table. The samples included four individuals in management, four in accounting, and three in finance. Use a .05 level of significance.
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Handout 2nd half for QMB class - QMB problems for 2nd half...

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