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13 An election is bitterly contested between two rivals In a poll of 750 potential voters taken 4 weeks before the election, 420 indicated a preference for candidate Grumpy over candidate Dopey Two weeks later, a new poll of 900 randomly selected potential voters found 465 who plan to vote for Grumpy Dopey immediately began advertising that support for Grumpy was slipping dramatically and that he was going to win the election Statistically speaking (say at the 005 level), how happy should Dopey be (ie, how sure is he that support for Grumpy has dropped) 14 Consider, once again, the situation of question #7 above In that problem, a onesided, two-proportion z-test was conducted to determine if there had been a drop in the proportion of people who watch the show I Want to Marry a Statistician when it was moved from Monday to Wednesday evenings Suppose instead that the producers were interested in whether the popularity ratings for the show had changed in any direction since the move Over the seasons the show had been broadcast on Mondays, the popularity rating for the show (10 high, 1 low) had averaged 73 After moving the show to the new time, ratings were taken for 12 consecutive weeks The average rating was determined to be 61 with a sample standard deviation of 27 Does this provide evidence, at the 005 level of significance, that the ratings for the show has changed Use a confidence interval, rather than a t-test, as part of your argument A dotplot of the data indicates that the ratings are approximately normally distributed 15 A two-sample study for the difference between two population means will utilize t-procedures and is to be done at the 005 level of significance The sample sizes are 23 and 27 What is the upper critical value (t*) for the rejection region if (a) the alternative hypothesis is one-sided, and the conservative method is used to determine the degrees of freedom (b) the alternative hypothesis is two-sided and the conservative method is used to determine the degrees of freedom (c) the alternative hypothesis is one-sided and you assume that the population variances are equal (d) the alternative hypothesis is two-sided, and you assume that the population variances are equal.

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47 Of the 439 nuclear power plants worldwide, how many are in the United States (A) 62 (B) 88 (C) 104 (D) 117 (E) 123 48 When nuclear core temperatures rise out of control, causing the core to melt through the Earth s crust, it is known as (A) the Helsinki process (B) a public policy concern (C) fission (D) INPO (E) the China syndrome

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1 How large a sample is needed to estimate a population proportion within 25% at the 99% level of confidence if a you have no reasonable estimate of the population proportion b you have data that show the population proportion should be about 07 2 Let X be a binomial random variable with n = 250 and p = 06 Use a normal approximation to the binomial to approximate P(X > 160) 3 Write the mathematical expression you would use to evaluate P (X > 2) for a binomial random variable X that has B(5, 03) (that is, X is a binomial random variable equal to the number of successes out of 5 trials of an event that occurs with probability of success p = 03) Do not evaluate

49 The Staebler-Wronski effect describes (A) wind turbine wobble (B) solar cell degradation (C) isotope decay (D) geothermal heat exchange (E) hydroelectric flow rates 50 What additive is used in the United States to lower incomplete combustion emissions (A) methanol (B) benzene (C) neon (D) ethanol (E) ammonia 51 Electricity sent out in small amounts to nearby points where it is needed is known as (A) (B) (C) (D) (E) central power off-grid power green tags certified power distributed power

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