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with the manufacturers processes that 1 5 psi and 2 4 psi. A random sample of 20 test specimens from each manufacturer results in x1 88 psi and x2 91 psi, respectively. (a) Using a 90% con dence interval on the difference in mean breaking strength, comment on whether or not there is evidence to support the claim that manufacturer 2 produces yarn with higher mean breaking strength. (b) Using a 98% con dence interval on the difference in mean breaking strength, comment on whether or not there is evidence to support the claim that manufacturer 2 produces yarn with higher mean breaking strength. (c) Comment on why the results from parts (a) and (b) are different or the same. Which would you choose to make your decision and why 10-73. The Salk polio vaccine experiment in 1954 focused on the effectiveness of the vaccine in combatting paralytic polio. Because it was felt that without a control group of children there would be no sound basis for evaluating the ef cacy of the Salk vaccine, the vaccine was administered to one group, and a placebo (visually identical to the vaccine but known to have no effect) was administered to a second group. For ethical reasons, and because it was suspected that knowledge of vaccine administration would affect subsequent diagnoses, the experiment was conducted in a doubleblind fashion. That is, neither the subjects nor the administrators knew who received the vaccine and who received the placebo. The actual data for this experiment are as follows: Placebo group: n Vaccine group: n 201,299: 110 cases of polio observed 200,745: 33 cases of polio observed

Wechsler Adult Intelligence Scale Revised (WAIS-R) Verbal Information Digit Span Vocabulary Arithmetic Comprehension Similarities Scaled Score 6 15 4 3 2 12 Age-Corrected Scaled Score (8) W (17) S (5) W (4) W (3) W (14) S Age-Corrected Performance Mean = 12 Performance Picture Completion Picture Arrangement Block Design Object Assembly Digit Symbol Scaled Score 9 5 17 16 8 Age-Corrected Scaled Score (9) W (5) W (18) S (18) S (8) W

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(a) Use a hypothesis-testing procedure to determine if the proportion of children in the two groups who contracted paralytic polio is statistically different. Use a probability of a type I error equal to 0.05. (b) Repeat part (a) using a probability of a type I error equal to 0.01. (c) Compare your conclusions from parts (a) and (b) and explain why they are the same or different. 10-74. Consider Supplemental Exercise 10-72. Suppose that prior to collecting the data, you decide that you want the error in estimating 1 x2 to be less than 1.5 psi. Specify the 2 by x1 sample size for the following percentage con dence: (a) 90% (b) 98% (c) Comment on the effect of increasing the percentage con dence on the sample size needed. (d) Repeat parts (a) (c) with an error of less than 0.75 psi instead of 1.5 psi. (e) Comment on the effect of decreasing the error on the sample size needed. 10-75. A random sample of 1500 residential telephones in Phoenix in 1990 found that 387 of the numbers were unlisted.

Age-Corrected Verbal Mean = 8 IQ ( 90% confidence) Verbal = 89 5 Performance = 113 9 Full Scale = 99 5

At an ecosystem-integrated and agile maturity level, security is viewed as a business issue, but at the same time business is highly dependent on co-operation with business partners. A network of organizations therefore has to work together to provide added value to the customer. Continuity problems and leakage of confidential information within one organization will have a negative effect on all the organizations that profit from the value chain. Because of the amount of electronic interaction of the target organization with a lot of other organizations, security needs to be agile as well. It must be easy to adopt and differentiate the security level based on the characteristics of the communication partners. Risks are eminent, but the target organizations have a lot of mechanisms in place to control security incidents of different sorts and severity in near real time.

A random sample in the same year of 1200 telephones in Scottsdale found that 310 were unlisted (a) Find a 95% con dence interval on the difference in the two proportions and use this con dence interval to determine if there is a statistically signi cant difference in proportions of unlisted numbers between the two cities (b) Find a 90% con dence interval on the difference in the two proportions and use this con dence interval to determine if there is a statistically signi cant difference in proportions of unlisted numbers between the two cities (c) Suppose that all the numbers in the problem description were doubled That is, 774 residents out of 3000 sampled in Phoenix and 620 residents out of 2400 in Scottsdale had unlisted phone numbers.

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