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##### BSTA Assignment 4 Problems

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Question;Question 4: (5 marks);In a study of distances travelled by buses before the first major engine;failure, a sampling of 60 buses resulted in a mean of 152,600 km. This means;that our sample had their first major engine failure at an average of 152,600;km. At the 0.05 level of significance;test the manufacturer?s claim that mean distance travelled before a major;engine failure is more than 154,000 km. From previous research we know the;population standard deviation is 6400 km.;1.;State;2.;State the level of significance;3.;State the Decision Rule;4.;Compute the Test Statistic;5.;State your conclusion;Step 1;Hypothesis statements;Steps 2 and;3: Level of Significance and the;Decision Rule;Bell curve;figure and table;Using values;you have obtained from Tables A.1 or A.2, enter the critical value z or t into;the red boxes and the significant level into the yellow boxes. For;one tail questions leave the appropriate boxes empty. Click on boxes to;enter value.;Step 4. Test statistic (formula).;Step 5;Conclusion.;Question 5: (5 marks);A night time cold medicine bears a label indicating the presence of 600 mg of;acetaminophen in each fluid ounce of the drug. From previous studies the;population standard deviation is known to be 21 mg. Suppose that;Health Canada randomly selected 153 one-ounce samples and found that the mean;acetaminophen content was 589 mg. Using, test the claim of the pharmaceutical company that the;population mean is different from 600 mg.;Would you buy this cold medicine? Give your reasons.;1.;State;2.;State the level of significance;3.;State the Decision Rule;4.;Compute the Test Statistic;5.;State your conclusion;Step 1;Hypothesis statements;Steps 2 and;3: Level of Significance and the;Decision Rule;Bell curve;figure and table;Using values;you have obtained from Tables A.1 or A.2, enter the critical value z or t into;the red boxes and the significant level into the yellow boxes. For;one tail questions leave the appropriate boxes empty. Click on boxes to;enter value.;Step 4. Test statistic (formula).;Step 5: Conclusion.;Question 6: (5 marks);The expense of moving the storage yard for the Consolidated Package Delivery;Service (CPDS) is justified only if it can be shown that the daily mean travel;distance will be significantly reduced from 342 km. In trial runs of 12;delivery trucks, the mean and standard deviation are found to be 318 km and 67;km, respectively. At the 0.01 level of significance, test the claim that the;mean is less than 342 km. Do you think the storage yard be moved? Give your;reasons.;1.;State;2.;State the level of significance;3.;State the Decision Rule;4.;Compute the Test Statistic;5.;State your conclusion;Step 1;Hypothesis statements;Steps 2 and;3: Level of Significance and the;Decision Rule;Bell curve;figure and table;Using values;you have obtained from Tables A.1 or A.2, enter the critical value z or t into;the red boxes and the significant level into the yellow boxes. For;one tail questions leave the appropriate boxes empty. Click on boxes to;enter value.;Step 4. Test statistic (formula).;Step 5;Conclusion.

Paper#60455 | Written in 18-Jul-2015

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