IE 3302 Fall 2009 2 4 In a textile plant five items are samp

IE 3302, Fall 2009 2 4. In a textile plant, five items are sampled randomly for color quality each day from the same dying process. Quality can be rated as excellent, acceptable, or unacceptable. This process cannot be considered a Bernoulli process. a. b. c. d. The experiment does not have repeated trials. The experiment does not have independent trials. The experiment has more than two outcomes. The probability of success does not remain constant. 5. The frequency of email server problems is estimated to be, on average, 3 per month. You would like to know the probability that more than 4 problems occur in any month, which would create a need to pay overtime to the IT staff. What distribution can be used to model the number of problems for a given time period? a. Binomial b. Poisson c. Geometric d. Exponential 6. Your criterion for accepting the null hypothesis (variances are equal) is = 0.05. You calculate a statistic that corresponds to a probability (p-value) of 0.01. What conclusion can you draw regarding non-rejection/rejection of the null hypothesis? a. b. c. d. It depends on the distribution chosen. You can accept the null hypothesis. You do not have sufficient evidence to reject the null hypothesis. You can reject the null hypothesis Many industrial engineering (IE) majors choose to complete a minor in safety & health, quality, or construction management (CM). Of 100 IE students, 15 will complete a safety & health minor (S&H;), 10 will complete a quality minor (Q), 20 will complete a CM minor only, and 5 will complete both a safety & health minor and a quality minor. 7. If a professor wishes to advise all of the students completing a minor, how many students will he/she need to advise? a. 30 b. 35 C. 40 d. 45 8. A student comes to this professor for advising. If he/she is minoring in quality, what is the probability that he/she is also completing a minor in safety and health? a. b. c. d. 50% 33% 25% Unknown 9. Given the t-distribution, what is the value of to.10 when you have a sample size of 5? a. 2.015 b. 1.476 c. 2.132 d. 1.533

Solution

4) IN TEXTILE PLANT AS THERE ARE 3 OPTION WHICH ARE EXCELLENT , ACCEPTABLE AND UNACCEPTABLE. AS WE HAVE 3 OUTCOMES WHICH IS THE ONLY REASON TO CONSIDER IT AS A BERNAULLI DISTRIBUTION AS HERE THE SUCCESS IS SAME IN EVERY ITEM. ALSO WE HAVE THE INDEPENDENT TRAILS AND REPEATED TRIALS ONLY HENCE THE ONLY OPTION CORRECT IS OPTION C CORRECT.