1) [0.5] Given a two-tailed test with test statistic z = 2.04 and a = 0.05, find the P value and determine if we reject or not reject Hy. Say why. Use table like you will on the exam. (Verify answer with Excel.) 2) [2] In a recent survey of Concordia University traditional seniors, 39 out of 65 want to learn more about financial literacy. In a national survey, it was published that 55% of college seniors want to learn more about financial literacy. At a 5% level of significance, are Concordia senior results different than the national percentage? Conduct a hypothesis test using the critical value. 3) [2] A brochure inviting subscriptions for a new diet program states that the participants are expected to lose over 21 pounds in five weeks. Suppose that, from the data of the five-week weight losses of 32 participants chosen at random, the mean was 23.2 pounds and the sample standard deviation was given as 7.2 pounds. Could the statement in the brochure be substantiated on the basis of these findings with a 5% level of significance? Conduct a hypothesis test using P-value. Give the Excel formula used. For numbers 4-7 below, a) list which is the appropriate test from the list below b) list the correct hypotheses and if left, right, or two tailed (do not conduct the rest of the hypothesis test) One Mean Z Test, One Mean T Test, One Proportion Z Test, Two Means Z Test, Two Means T Test (Pooled), Two Means T Test (Non-pooled), Two Paired Means T Test, Two Proportions Z Test, Two Variances F Test 4) [1] The golf coach wanted to know if the Golf Hook/Slice Talking Swing Meter would help %% Dif her golfers hit the fairway more often. To the right is a table of a random sample of golfers = | 5 | _0 with the number of fairways hit in a round before and after using the Golf Hook/Slice > | 4 | 2 Talking Swing Meter. Assuming the population is normally distributed, did it help the golfers 7 8 1 hit the fairway more often? Let a = 0.01. 4 3 1 8 6 -2 a) 3 4 | 1 b) 5) [1] In a random sample of Concordia University online undergraduate students, 42 out of 50 plan to go to Homecoming. In a random sample of Concordia University online graduate students, 38 out of 50 plan to go to Homecoming. At a 10% level of significance, is there a greater percentage of undergraduates who plan to go to Homecoming? a) b) 6) [1] In a previous study, it was shown that college students slept an average of 6.7 hours the night before an exam with population standard deviation 1.86 hours. A random sample of thirty-four Introduction to Probability and Statistics students showed an average of 7.4 hours of sleep before the exam. At & = 0.10, is there enough evidence to show a difference? a) b) 7) [1] In a random sample of 15 University of Minnesota graduates, their average student debt was $24,345 with sample standard deviation is $4298. In a random sample of 23 University of Wisconsin graduates, their average student debt was 528,648 with sample standard deviation is $6207. At = 0.05, do the University of Minnesota graduates have less debt? Assume the populations are normally distributed and population variances are not equal. a) b) 8) [2.5] At a local high school, the wrestlers and the girls' lacrosse team had a healthy rivalry, each team claiming they were the best athletes in the school. The girls' lacrosse team challenged the wrestlers to a free throw contest as the first competition to show their dominance. A random sample of athletes from each team shot free throws. The number of made shots is listed below. Assume the populations are normally distributed. Wrestlers:4 6 3 756 857 4 3 Lacrosse Players:7 4 756 84 6 785 4 a) Find the sample mean and sample standard deviation for each team. Use Excel to find them. Round each to one decimal place and list the answers in the blanks below with the correct variables. Wrestlers: Lacrosse Players: b) Conduct a hypothesis test to determine if there is any difference of the population means for the two groups of athletes with level of significance of 10%. Assume population variances are equal and that the populations are normally distributed. Use the critical value method