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RES 342 FINAL EXAM

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Question;1) The area of rejection, on a bell shaped curve, defines the location of;all those values that are;A. so small or so large that the probability of their occurrence under a false;null hypothesis is rather remote;B. so small or so large that the probability of their occurrence under a true;null hypothesis is to be expected;C. so small or so large that the probability of their occurrence under a true;null hypothesis is rather slim;D. within the selected confidence interval for the test;2) If the decision is to reject the null hypothesis of no difference between;two population parameters, z distribution at the.01 significant level, what is;the correct statement of the alternate hypothesis and rejection region?;A. ?1? ?2, z > 1.96 and z ?2, z ?2, z > 2.33;D. ?1? ?2, z > 2.58 and z < negative 2.58;3) The statement that determines if the null hypothesis is rejected or not;is called the;A. test statistic;B. alternate hypothesis;C. critical value;D. decision rule;4) The Roman Senate has become concerned about the loyalty of the army in;Gaul commanded by Julius Caesar. They claim that, of the 80,000 men in the;army, at least 28,000 are foreign barbarians. Caesar believes there are fewer;barbarians, so the Senate should not worry. He polls one legion of 1,000 men;and finds that 340 of them are barbarians. What is the test statistic for this;hypothesis test?;A. (0.34-0.35)/0.015;B. (0.35-0.34)/0.2275;C. (0.34-0.35)/0.063;D. (0.35-0.34)/100;5) A statistician was setting up a hypothesis test with a level of;significance dictated by upper management. However, she was concerned that the;test she wished to perform might have unacceptable large possibilities of Type;II error, ?. Which of the following would solve this problem?;A. Convince upper management to use a larger sample.;B. Convince upper management to use a smaller p-value.;C. Convince upper management to reduce the level of significance of the test.;D. Convince upper management to use a larger p-value.;6) In classical hypothesis testing, the test statistic is to the critical;value what the ________________.;A. critical value is to alpha;B. p-value is to alpha;C. level of significance is to the test statistic;D. test statistic is to the p-value;7) When testing for differences between two means, the Behrens-Fisher;problem arises when the sample populations are;A. are normal with unequal variances.;B. normal with equal variances.;C. are non-normal and have unequal variances.;D. are non-normal and have equal variances.;8. If the paired differences are normal in a test of mean differences, then;the distribution used for testing is the;A. Chi-Square;B. normal distribution;C. F distribution;D. Student t distribution;9) You are conducting a two-tailed test of means but your software package;only calculates a one-tailed p-value equal to 0.13. The actual p-value for your;test is;A. 0.065;B. 0.13;C. need a table to calculate this value.;D. 0.26;10) One hundred women were polled and 60 reported successfully communicating;an automobile problem to an auto repairman. A sample of 150 men had 95;reporting the same success. The value of the test statistic for a test of the;equality of proportions is;A. 0.7293.;B. -0.5319.;C. 0.2702.;D. -0.419.;11) A recent study by College Stat Company reported a nationwide survey of;college students determined that students spend 2 hours studying for each hour;in the classroom. Professor Baker at State College wants to determine whether;the time students spend at her college is significantly different from the;national average of 2 hours. A random sample of 20 statistics students resulted;in an average of 1.75 hours with a standard deviation of 0.24 hours. A t-test;was conducted at the 5% level of significance. The calculated value of t was;-4.03. What was Professor Baker decision?;A. Fail to reject the null hypothesis.;B. Cannot make a decision at this time, more data is required.;C. Reject the alternative hypothesis statement.;D. Reject the null hypothesis, the test statistic exceeds the critical value.;12) Newton?s, a tire manufacturer, wanted to set a mileage guarantee on its;new Road Warrior 60 tire. A sample test of 500 tires revealed that the tire?s;mileage is normally distributed with a mean of 50,000 miles and a standard;deviation of 1,750 miles. The warranty on the tires is presently set at 47,500;miles. The z-test statistic result was 1.43. The manufacturer wanted to;determine if the tires were exceeding the guarantee. At the.05 significant;level, it was concluded that the tires are exceeding the manufacturer?s;guarantee.;A. This was the correct decision.;B. The decision needs to be delay until more data is collected.;C. The evidence does not support this decision.;D. A decision cannot be made.;13) Accounting procedures allow a business to evaluate their inventory at;LIFO (Last In First Out) or FIFO (First In First Out). A manufacturer evaluated;its finished goods inventory (in $ thousands) for five products both ways.;Based on the following results, is LIFO more effective in keeping the value of;his inventory lower?;Product FIFO (F) LIFO (L);1 225 221;2 119 100;3 100 113;4 212 200;5 248 245;The 5% level of significance was selected for the t value. This example is;what type of test?;A. Two sample test of means.;B. One sample test of means.;C. Test of proportions.;D. Paired t-test.;14) When is it appropriate to use the paired difference t-test?;A. Any two samples are compared;B. Four samples are compared at once;C. Two dependent samples are compared;D. Two independent samples are compared;15) The owner of a bottling company is considering buying a new bottling;machine. He has been testing two different machines that are being considered.;After collecting 300 samples from each machine over several weeks, he was able;to conduct a two sample z test.;He decided to utilize a 0.05;significant level for the test. The test was to address the claim that the mean;weight of the bottles filled by the Orno machine was greater than the mean;weight of the bottles filled by the Edne machine. The test statistics was 2.21.;What is the decision regarding the hypothesis?;A. Reject the null hypothesis, there is a significant difference.;B. This is a two tail test and the critical value for the test is 1.96.;C. There is not enough data available to answer the question.;D. Accept the null hypothesis, there is not a significant difference.;16) Two different accounting procedures that are utilized by businesses as a;way to evaluate their inventory are LIFO (Last In First Out) and FIFO (First In;First Out). ABC manufacturer evaluated its finished goods inventory (in $;thousands) for five products using both procedures. Based on the following;results, is LIFO more effective in keeping the value of his inventory lower?;Product FIFO (F) LIFO (L);1 225 221;2 119 100;3 100 113;4 212 200;5 248 245;The 5% level of significance was selected for the t value. The calculated;test statistic was 1.93. What is the decision?;A. Reject the null hypothesis and conclude LIFO is more effective.;B. Fail to reject the null hypothesis and conclude LIFO is not more effective.;C. Fail to reject the null hypothesis and conclude LIFO is more effective.;D. Reject the alternate hypothesis and conclude LIFO is more effective.;17) You are conducting a two-tailed test of means, but your software package;only calculates a one-tailed p-value equal to 0.13. The actual p-value for your;test is;A. 0.065.;B. You need a table to calculate this value.;C. 0.13.;D. 0.26.;18. A consumer researcher is testing the difference between two proportions;at the 0.05 level of significance. The researcher was utilizing the z;distribution for the test. If the computed test statistic z value was 1.12;what was the decision?;A. Do not reject the null hypothesis.;B. Reserve judgment.;C. Reject the null hypothesis.;D. Take a larger sample.;19) Watson?s TV claims that their televisions have the best performance;record on the market. They advertise that after 3 years only 10% of their sold;televisions have had any type of repairs. The president of the company wanted;to confirm that this statement was correct. To do this, a sample of 60 sets was;taken of sets that had been sold and were at least 3 years old. Twelve percent;of these television sets had been in for repair. The null hypothesis is that;there is no difference between the stated percent and the sample data. At the;.05 significant level, what can we conclude about the null hypothesis?;A. The data fails to reject the null hypothesis.;B. The difference is too close to be able to decide.;C. The null hypothesis is rejected and the difference is significant.;D. The sample is too small to be able to decide.;20) The accountant for Thomas?s Furniture Store is concerned regarding the;outstanding receivable owed the company. There has been a cash flow problem and;it is believed that the slow collection of accounts receivable is partially the;blame. The accountant believes that 40% of the present accounts are more than 4;months behind in making payments. To be able to make a decision regarding this;belief, a random sample of 100 accounts was taken. It was found that 37;accounts were more than 4 months late. Did the sample data confirm the;accountant?s belief? Use the.05 significant level for the statistical test.;A. The accountant belief is not conferred.;B. The accountant needed to take a larger sample.;C. There is not enough evidence to confer or deny the belief.;D. The accountant belief is conferred.

 

Paper#36306 | Written in 18-Jul-2015

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