Question

y Of Engi Of Industrial and Architecture Istanbul Arel University, Far neering FOR EN Year Spring Semestre RS STATIST 6IE8 20. 1019 Acade FINAL Exam Asst Prof Dr Sezgin KILIC Duration: 9O Minutes Name QUESTIONS of When operating usually, a manufacturing process produces tablets for which the mean weigh the active ing deviation is 0.025 gram. For a random sample of 12 and the stane dient is 5 grar tablets the following weights of active ingredient (in grams) were found: s.01 4.69 5.03 498 4 98 4.95 5.00 5.00 5.03 5.01 5.04 4.95 assuming that the population variance is known, test the null hypothesis that the e a two-sided alternative a. W s S grams dient per tab of active ina popula mean weij and a 5% significance level, State any assumptions that you make. (20 Points) b. Stating any assumptions that you make, test the null hypothesis that the population standard deviation is 0.025 gram against the alternative hypothesis that the pooulation standard deviation exceeds 0.025 gram. Use a 5 % significance level. (15 Points) 2. A random sample of 802 supermarket shoppers determined that 378 shoppers preferred generic- brand items. a. Test at the 10 % level the null hypothesis that 50 % of all shoppers preferred generic-brand items against the alternative that the population proportion is less than 50% . ( 15 Points) b. Find the power of the test above if, in fact, 45 % of the supermarket shoppers preferred generic brands. (10 Points) 3. A political science professor is interested in comparing the characteristics of students who do and random sample of 114 students who claimed to have yoted in de point average of 2.71 and a standard deviation students who did not vote, the mean grade point elections. n. ot vote in natio the last presidential election, she found a mean of 0.64. For an independent random sample of average was 2.79 and the standard deviation was 0.56. Test, against a two sided alternative, the null hypothesis that the population means are equal for a-0.05, (20 Points) t a higway toll booth. The 4. in a period of 100 minutes there were total of 190 arrivals accompanyng table shows the frequency of arrivals per minute over this period. Test the null hypothesis that the population distribution is Poisson (a-0.05). (20 Points) Number of arrivals in minutes 4 or more |35 Observed frequency 10 26 24 12 Haz 2019

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Answer 1

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