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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.
You have been put in charge of developing a new game of chance. In this game a person will roll two cubes each having the numbers 1 to 6 on their faces. As a first step in developing the game, what are the possible outcomes and their probabilities?
Use the p value method to determine whether or not to accept or reject the null and alternate hypotheses.
The correlation between IQ and the verbal SAT score among the seniors at GWB High School is .90; it is significant. The mean IQ is 100 with a standard deviation of 10.
An office manager wishes to estimate the mean time required to handle customer complaints. A sample of 38 complaints shows a mean time of 28.7 minutes with a standard deviation of 12 minutes.
Range of numbers: What is the first and third quartile? What is the second decile and the eighth decile? What is the 67th percentile?
A new car that runs on electricity and gasoline is advertised as getting 65 mpg with a standard deviation of 6.9. If you test drive a car, what is the probability that it will get between 50 and 75 mpg?
It is reported that 45% of all college professors are extroverted. Suppose you have classes with six different professors. What is the probability that all six are extroverts?
A small New England college has a total of 400 students.The Math SAT is required for admission, and the mean score of all 400 students is 620. The population standard deviation is found to be 60. The formula for a 95% confidence interval yields th..
State a hypothesis related to this study that would cause you to conduct a one-tailed test. State a hypothesis related to this study that would cause you to conduct a two-tailed test.
Find the probability that the average diameter of those sand dollars is more than 4.13 centimeters. Assume that the variable is normally distributed.
You buy a new piece of equipment for $11,778 and you receive a cash inflow of 2,000 per year for 10years. What is the internal rate of return?
Assume that female students' heights are normally distributed with a mean given by µ = 67.2 in. and a standard deviation given by σ = 3.6 in.
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