1)Olestra is a fat substitute approved by the FDA for use in snack foods. Because there have been anecdotal reports of gastrointestinal problems associated with olestra consumption, a randomized, double-blind, placebo-controlled experiment was carried out to compare olestra potato chips to regular potato chips with respect to GI symptoms. Among 520 individuals in the TG control group (noted as "C"), 93 experienced an adverse GI event, whereas among the 560 individuals in the olestra treatment group (noted as "T"), 75 experienced such an event. Carry out a test of hypotheses at =0.05 significance level to decide whether the incidence rate of GI problems for those who consume olestra chips according to the experimental regimen differs from the incidence rate for the TG control treatment. What is the test statistic?

2)The weights of 3-month-old baby girls are known to have a mean of 12.95 pounds. Doctors at an inner-city pediatric facility suspect that the average weight of 3-month-old baby girls at their facility may be less than that number. They select a random sample of 45 3-month-old baby girls and find the mean and the standard deviation of this sample are 12.3 and 1.55 pounds, respectively. At =0.01 level, test the doctors' hypotheses. (Round your answer at the nearest 4^th decimal place, if necessary.) What are the hypotheses of the test?

3)An article reported that in a sample of 118 wine consumers, 23 thought that screw tops were an acceptable substitute for natural corks. Suppose a particular winery decided to use screw tops for one of its wines unless there was strong evidence to suggest that fewer than 25% of wine consumers found this acceptable. Using a significance level of 0.06, what would you recommend to the winery?What is the conclusion of this study?

4)It is known that roughly 66% of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 124 kissing couples, both people in 72 of the couples tended to lean more to the right than to the left. At =0.08 level, does the result of the experiment suggest that the 66% figure is implausible for kissing behavior?What is the p-value?

5)A drug manufacturer claimed that the mean potency of one of its antibiotics was 78.5%. A random sample of 60 capsules were tested and produced a sample mean of 78.9% with a standard deviation of 1.52%. Do the data present sufficient evidence to refute the manufacturer's claim at =0.02 level? (Round your answer at the nearest 4^th decimal place, if necessary.) What is the p-value?

6)Ground beef is packaged in small trays, intended to hold 1.5 pounds of meat. A random sample of 64 packages in the small tray produced weight measurements with an average of 1.55 pounds and a standard deviation of 0.21 pound. Test at the 95% confidence level if the packages met the intended requirement. (Round your answer at the nearest 4^th decimal place, if necessary.) what is the lower boundary of the confidence interval?