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Let X 1 , X 2 , ... , X n be a random sample from the distribution with probability density function f(x; Θ) = [Θ / 2sqrt(x)] * e^[-Θsqrt(x)], x > 0 , Θ > 0
a) Find the sufficient statistic Y = u ( X 1 , X 2 , ... , X n ) for Θ.b) What is the probability distribution of W = sqrt(X)?c) What is the probability distribution of sigma notation from i = 1 to n (sqrt(Xi))?
Find the maximum and minimum prices of the houses a contractor will build to include the middle 65% of the market.
Perform the sensitivity analysis for the COM-TECH case. Assume you are interested in following two probabilities: probability of receiving grant, and probability of high cellular R&D costs.
Suppose we wish to test the hypothesis H0: = µ2 vs. H1: = µ≠2 We find a two sided p-value of .03 and a 95% CI for µ of (1.5, 4.0) Are these two results possibly compatible? Why or why not?
The length of time for one individual to be served at a cafeteria is a random variable having a lognormal distribution with a mean of 10 minutes and standard deviation of 2 minutes.
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
When studying simultaneous responses to two categorical questions, we should set up a a) contingency table. b) frequency distribution.
Describe the circumstances under which you should use ANOVA instead of t tests, and explain why t tests are inappropriate in these circumstances. Find a peer-reviewed article that reflects these circumstances, describe the research conducted (i.e...
Determine the mode for this distribution. Describe why you can't calculate the mean number of times using data in the table.
Find each value requested for the distribution of scores in following table. For the following scores the lowest value is x=13 place the scores in a frequency distribution table using.
According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy and electronically file a 1040 tax form. This distribution of times follows the normal distribution and the standard deviation is 80 minutes.
Determine what analysis would you do on each problem (i.e., one-sample z-test, one-sample t-test, proportion test, two-sample independent t-test, or paired test)?
In order to monitor the ecological health of the Florida Everglades, various measurements are recorded at different times. The bottom temperatures are recorded at the Garfield Bight station
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