DSCI 3710 Exam1AMay2010Key

DSCI 3710 Exam1AMay2010Key - COURSE DSCI 3710 Exam 1...

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COURSE: DSCI 3710 Print Name: Exam 1 – version A Signature: ***Key*** Summer 2010 Student ID#: INSTRUCTIONS: Please print your name and student ID number on this exam. Also, put your signature on this exam. On your scantron PRINT your name and exam version. You have 120 minutes to complete this exam. The exam is open book, open notes, and open mind. You may use any type of hand calculator but please show all your work on the exam and mark all answers on the scantron. Usage of cell phones, digital cameras, PDAs, and other communication devices is prohibited. Please DO NOT pull this exam apart. When you have completed the exam, please turn your scantron and exam booklet into your instructor, at the front desk. Good luck and we wish you well on the exam. Note: Whenever question(s) are connected you may be asked to assume a result (given a value) as an answer for the previous question but this result (value) may or may not be correct. The procedure is set in place to prevent you from losing points on a subsequent question because you made a mistake on some previous question/s.
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Use the information given in the following paragraph to answer next three questions. A lumber company is making 2x4s that are 12 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 11.9 feet with a standard deviation of 0.04 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 = 11.9 Ha: μ 11.9 B. Ho: μ 11.9 Ha: μ < 11.6 C. Ho: μ = 12 Ha: μ 12* D. Ho: μ > 12 Ha: μ 11.8 E. Ho: μ = 12 Ha: μ < 11.8 2. What is the absolute critical value of the test statistic? A. 0.12 B. 1.96 C. 2.33 D. 3.69 E. 2.57* 3. Assuming the calculated value of the test statistic is -1.53 , 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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Use the information given below to answer the next question. The production manager in a chemical plant knows that the time for a certain product line to become stable after being stopped for machine adjustments is normally distributed. He uses a sample of 15 stoppages to determine a 90% confidence interval for the average warm-up period to be 7.3 to 9.7 minutes. The firm = s cost accountant would like to answer the following question:
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DSCI 3710 Exam1AMay2010Key - COURSE DSCI 3710 Exam 1...

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