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Chapter 10: Q. 10 (page 668)
Let represent the score when a fair six-sided die is rolled. For this random variable, and . If the die is rolled times, what is the approximate probability that the total score is at least?
Result is:
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A better drug? In a pilot study, a company's new cholesterol-reducing drug outperforms the currently available drug. If the data provide convincing
evidence that the mean cholesterol reduction with the new drug is more than 10 milligrams per deciliter of blood (mg/dl) greater than with the current drug, the company will begin the expensive process of mass-producing the new drug. For the 14 subjects who were assigned at random to the current drug, the mean cholesterol reduction was with a standard deviation of For the 15 subjects who were randomly assigned to the new drug, the mean cholesterol reduction was with a standard deviation ofGraphs of the data reveal no outliers or strong skewness.
(a) Carry out an appropriate significance test. What conclusion would you draw? (Note that the null hypothesis is not
(b) Based on your conclusion in part (a), could you have made a Type I error or a Type Il error? Justify your answer.
Information online A random digit dialing sample of adults found that 1318 used the Internet.Of the users, said that they expect businesses to have Web sites that give product information; of the nonusers said this.
(a) Construct and interpret a confidence interval for the proportion of all adults who use the Internet.
(b) Construct and interpret a confidence interval to compare the proportions of users and nonusers who expect businesses to have Web sites
40. Household size How do the numbers of people living in households in the United Kingdom (U.K.) and South Africa compare? To help answer this question, we used Census At School’s random data selector to choose independent samples of students from each country. Here is a Fathom dotplot of the household sizes reported by the students in the survey.
A random sample of 200 New York State voters included 88 Republicans, while a random sample of 300 California voters produced 141 Republicans. Which of the following represents the confidence interval that should be used to estimate the true difference in the proportions of Republicans in New York State and California?
(a)
(b)
(c)
(d)
(e)
Explain why the conditions for using two-sample z procedures to perform inference about are not met in the settings
Broken crackers We don’t like to find broken crackers when we open the package. How can makers reduce breaking? One idea is to microwave the crackers for seconds right after baking them. Breaks start as hairline cracks called “checking.” Assign newly baked crackers to the microwave and another to a control group that is not microwaved. After one day, none of the microwave group and of the control group show checking.
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