Name: Math 102 Sections A, B Hypothesis Tests March 25, 2013 1 ...

2. With a perfectly balanced roulette wheel, in the long run red numbers should turn up 18times in 38. To test its wheel, one casino records the results of 3800 plays, finding 1890 rednumbers. Is that too many reds? Or chance variation?(a) What is/are the relevant parameter(s)? What are the null and alternative hypotheses?(b) A priori decisions: Is the alternative hypothesis one-tailed or two-tailed? What significancelevel will you use? What statistical test will you use? (z- or t-test)(c) Compute the standard error.(d) Compute the test statistic.(e) Determine the p-value.(f) Based on the p-value you calculated, what should your conclusion be? State your conclusionin the context of the example.2

4. This is #6.145 from Lock 5 . In the mid-1990’s a Nabisco marketing campaign claimedat least 1000 chips were in every bag of Chips Ahoy! cookies. A group of Air Force cadetscollected 42 bags of Chips Ahoy! cookies, bought from locations all across the country, toverify this claim. The average number of chips per bag was 1261.6, with s = 117.6 chips.(a) Why were the cookies bought from locations all over the country?(b) What is/are the relevant parameter(s)? What are the null and alternative hypotheses?(c) A priori decisions: Is the alternative hypothesis one-tailed or two-tailed? What significancelevel will you use? What statistical test will you use? (z- or t-test)(d) Compute the standard error.(e) Compute the test statistic.(f) Determine the p-value.(g) Based on the p-value you calculated, what should your conclusion be? State your conclusionin the context of the example.4