MATH 154 Midterm: MATH 154 Harvard PracticeQ1 154 2009154 Spring 09
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1 is the average changeover time using method 1. so the normality assumption is ok (e. g. ok to use t-test) According to our rules of thumb it is ok to use the equal-variance t-test. s. P-value is between 2(. 025) and 2(. 01), ie. between . 05 and . 02 (using 100t on the t-table). Since the p-value is less than . 05, we reject. 0h and conclude that there is a difference since 118t is not between the two changeover methods. From the data we see that method #1 is faster than method #2: 90% confidence interval for x. So 90% confidence interval for average costs savings (method #2-method#1): (. 833*1000*20, 5. 507*1000*20)=(,600 , ,140) p= 1p is the proportion of popcorn eaters who are likely to. > ok to use normal approximation to binomial. Since the p-value is less than . 01 we reject. 0h and conclude that popcorn eaters and non-popcorn eaters have different likelihoods of crying at a movie.
