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As in the case of the Weibull and Gamma distributions, the lognormal distribution can be modified by the introduction of a third parameter g such that the pdf is shifted to be positive only for x . g. The article cited in Exercise 4.39 suggested that a shifted lognormal distribution with shift (i.e., threshold) 5 1.0, mean value = 2.16, and standard deviation = 1.03 would be an appropriate model for the rv X = maximum-to-average depth ratio of a corrosion defect in pressurized steel.
a. What are the values of m and s for the proposed distribution?b. What is the probability that depth ratio exceeds 2?c. What is the median of the depth ratio distribution?d. What is the 99th percentile of the depth ratio distribution?
Two samples of sizes 25 and 35 are independently drawn from two normal populations, where the unknown population variances are assumed to be equal.
According to the local union president, the mean gross income of plumbers in the Salt Lake City area follows the normal probability distribution with a mean $45,000 and a standard deviation of $3,000.
What is a nonparametric test and what is a parametric test - If the Kruskal-Wallis test is to be used with the data in the above exercise, the samples should be simple random samples. What is a simple random sample?
We want to estimate the population mean within 5, with a 99% confidence level. The population std dev is estimated to be 15. How large is the required sample size?
Construct a dialogue between Andrew Jackson and Henry clay. What kind of conversation would they have? What would they talk about?
What is the z-score for the 34-week gestation period baby? What is the z-score for the 40-week gestation period baby? Which baby weighs less relative to the gestation period?
in an american economic review dec. 2008 study of college dropouts one factor thought to influence the college dropout
Example: The correlation coefficient between natural disaster and the number of doctors in the area was .95. The Martian concluded that doctors cause spontaneous generation natural disasters.
1. A coin having probability p of coming up heads is continually ?ipped. Let Pj(n) denote the probability that a run of j successive heads occurs within the ?rst n ?ips.
Calculate the mean, median, mode, and midrange of the data. Show your work. If your data set contains too many data points to show the work explain in detail how you calculated the mean, median, mode and midrange.
Bottling Company Case Study, Calculate measurements of central tendency and dispersal. Determine confidence intervals for data.
which of the following statements are true if the value of the test statistic for a two-tailed z test is z -1.56?a.
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