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A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below:0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130(a) Construct a 95 percent confidence interval for the true mean. (b) Why might normality be an issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is.
A careful count of 13,789 carcasses of bugs killed by "mosquito zappers" used in homes near water showed that only 18 were mosquitoes. (a) Construct a 90 percent confidence interval for the proportion of all zapped bugs that are mosquitoes. (b) Is a confidence interval really helpful in deciding whether the devices fulfill their purpose? Explain.
What is the standard error of measurement for the test? What range of scores would you expect an individual who made 54 on the test to make on another test of similar difficulty? Assume you want to be 68% accurate in your estimate.
What is the five step process for hypothesis testing? Why or why not? What is the null hypothesis? Why is it important? What are its implications? Explain. You may use examples to show your understanding.
Women's heights are normally distributed with mean 63.6 and standard deviation of 2.5 in. A social organization for tall people has a requirement that women must be at least 70 in tall.
What are the mean value and standard deviation of the number of students who want new books? What is the probability that the number of students who want new books is more than two standard deviations above the mean?
When the growing season is moderate. The probability of the growing season being too dry is 35%. What is the expectation for profit?
This requires you evaluate the data (on the next sheet) and apply Queueing Theory to determine the characteristics of the queues. Please refer to the concept on Queuing Theory for the procedures to do.
If appropriate, use the Tukey-Kramer procedure to examine differences among machines. What can you conclude about the effects of machines on breaking strength? Explain.
Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given gata, and consider only linear, polynomial (degree 2) logarithmic, exponential, and powe..
Internal study by Technology Services department at Lahey Electronics disclosed company employees get the average of 2 emails per hour. Suppose arrival of these emails is approximated by Poisson distribution.
Electronic baseball games manufactured by Tempco Electronics are shipped in lots of 25. Before shipping, a quality control inspector randomly selects a sample of 6 from each lot for testing. If sample contains any defective games, the entire lot i..
Key Refining decided to send a special financing plan to charge account customers having the highest 10 percent of the money charges. What is the dividing point between customers who receive the special plan and those who do not.
If x is a binomial random variable where n = 100 and p = .1, find the possibility that x is less than or equal to 10 using the normal approximation to the binomial.
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