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QUESTION 27 Researchers fed cockroaches a sugar solution. Ten hours later, they dissected the cockroaches and measured the amount of sugar in various tissues. Here are the amounts (in micrograms) of d-glucose in the hindguts of 5 cockroaches: 55.95 68.24 52.73 21.50 23.78 From previous work, the researchers expected the population of responses to be Normal. The insects are a random sample from a cockroach population grown in the laboratory. A 95% confidence interval for the mean amount of d-glucose in cockroach hindguts under these conditions is 26.26 to 62.62. 18.69 to 70.19. 31.57 to 57.31. 24.67 to 64.21. QUESTION 28 To estimate , the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sample of 400 full professors. The sample mean is > = $73,220, and the sample standard deviation is s = $4400. A 99% confidence interval for / is 73,220 + 11,440. 73,220 + 572. 73,220 + 431. 73,220 + 28.6. QUESTION 29 lan is a phycologist interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 alga were obtained and each was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. Without relying on any previous knowledge, lan wanted to estimate the proportion that were cyanobacteria with a margin of error of at most 0.01 in a 99% confidence interval. How large a sample size would be required? 13,572 13,573 16,576 16,577