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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, text). The data (in square millimeters) are shown below:
0
260
356
403
536
268
369
428
396
469
162
338
130
a) Construct a 95% confidence interval for the true mean.
b) What might normality be an issue here?
c) What sample size would be needed to obtain an error of +/- 10 square millimeters with 99% confidence?
d) If this is not a reasonable requirement, suggest one that is.
Calculate the value of Pearson correlation. Illustrate what information is provided by the numerical value of the Pearson correlation.
Based on your answers to a through d, decide whether or not to reject the null hypothesis at the given significance level. Explain your conclusion in the context of the problem.
At least half the patients are under 15 years old? First, describe how this can be modelled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is 20 percent.
What happens to the probability of getting exactly 50% heads?
Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?
Normal distribution has mean of 80 and standard deviation of 14. Find out the value above which 80 percent of values will occur.
Compute the probability of exactly 0,1,2,3,4, and 5 arrivals per day.
Experience has shown that radon gas level is approximately normally distributed for this population.
Is it reasonable typical worker does not miss any days during a pay period?
A sample of 10 urgent and non-urgent patients was conducted to determine average wait time. The hospital wants to be sure that urgent patients do not wait as long as non-urgent patients. The following hypotheses have been formulated.
Last week Sarah had exams in Math and in Spanish. On the Math exam, the mean was u, = 30 with a = 5, and Sarah had a score of X - 45. On the Spanish exam, the mean was u, = 60 with 0 = 6 and Sarah had a score of X = 65. For which class must Sarah ..
Is global F ratio significant? Identify this F ratio, and describe whether it is important.Is coefficient for X1 (productivity) significant? How do you know? Mention its t value and accompanying P-value.
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