sp98ex1a - COURSE: MSCI 3710 EXAM 1 Version A SEMESTER:...

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COURSE: MSCI 3710 Print Name: EXAM 1 Signature: Version A S.S.#: SEMESTER: Spring 1998 Seat Number: Note: Whenever question(s) are connected you may be asked to assume a result (given a value) from the previous question but this result may or may not be correct. This is to prevent you from losing points on a second question because you made a mistake on a previous question.
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Use the information given in the paragraph below to answer the next three questions. A lumber company is making 2x4s that are 11.8 feet long. These 2x4s are being used to make prefabricated homes. If the 2x4s are too long they must be trimmed and if too short they cannot be used. A sample of 230 2x4s is made, and it is found that they averaged 11.6 feet with a standard deviation of 1.2 feet. Is there evidence, at the 0.01significance level, that the 2x4s are either too long or too short? 1. What are the null hypothesis and alternative hypothesis for this test? A. Ho: µ = 11.6 Ha: µ ≠11.6 B. Ho: µ ≥ 11.6 Ha: µ < 11.6 C. Ho: µ = 11.8 Ha: µ ≠11.8 D. Ho: µ > 11.8 Ha: µ ≠11.8 E. Ho: µ = 11.8 Ha: µ <11.8 2. What is the calculated value of the test statistic? A. Z* = −0.12 B. Z* = −5.06 C. Z* = 2.33 D. Z* = 3.69 E. Z* = −2.53 3. Assuming the calculated value of the test statistic is -2.53, what are the decision and conclusion of the test? A. Fail to reject the null hypothesis, conclude there is overwhelming evidence the 2x4s are not too long or too short. B. Fail to reject the null hypothesis, conclude there is insufficient evidence the 2x4s are too long or too short. C. Reject the null hypothesis, conclude there is evidence the 2x4s are too long or too short. D. Fail to reject the null hypothesis, conclude there is evidence the 2x4s are too long or too short. E. Reject the null hypothesis, conclude there is insufficient evidence the 2x4s are too long or too short.
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The next two questions are connected. The director of research and development for a large drug firm is overseeing the testing of a new drug. She wants to know if there is evidence at the 0.05 level that the drug remains in the system for less than 8 hours. After sampling 10 patients, the drug has been found to stay in the blood system for an average of 7.8 hours with standard deviation of 1.5 hours. 4. What is the calculated value of the test statistic? A. t* = - 0.422 B. t* = 3.66 C. t* = 4.99 D. t* = −1.02 E. t* = −0.88 5. What is the decision rule for this test? A. Reject Ho if t* > 1.833 ∣ ∣ B. Fail to reject Ho if t* > 2.228 ∣ ∣ C. Reject Ho if t* > 2.228 ∣ ∣ D. Reject Ho if t* < -1.833 E. Fail to reject Ho if t* > 2.262 The next five questions refer to the following information A study is designed to determine the effect of an office-training course on typing productivity. Ten typists who have not taken the course are randomly selected and are asked to type 15 pages
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sp98ex1a - COURSE: MSCI 3710 EXAM 1 Version A SEMESTER:...

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