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The lifetimes X of a certain brand of component used in a machine can be modeled as a random variable with pdf f(x) = (1/θ) e-(x/θ). The reliability R(x) of the component is de?ned as R(x) = 1 - F(x). Suppose X1, X2,..., Xn are the lifetimes of n components randomly selected and tested. Find the MLE of R(x).
A sample of data was selected from a population: {195, 179, 205, 213, 179, 216, 185, 211}. Use the deviation score method and the calculation formula to calculate variance and standard deviations.
Analysis of data sets assignment
A normal distribution has a mean of µ = 100 with σ = 20. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 90 and X = 120?
It is suspected that the mean turnover has changed and is not 6.0. Use the .05 significance level. Give the formula for the test statistic.
What standard deviation (within 0.001 inch) minimizes the annual cost of producuign elevator rails. You do not need to try standard deviations in excess of 0.02 inches.
A new speed limit will be initiated such that approximately 10% of vehicles will be over the speed limit. What is the new speed limit based on this criterion? In what way do you think the actual distribution of speeds differs from a normal distribu..
An independent financial advisor claims an average rate of return, μ, on a particular investment is at least 7%. In testing her claim, the correct pair of hypotheses is:
You create a 95% confidence interval for your average score and it is (76.347, 79.133). Given this information, what is the best conclusion?
consider a virus that is spread by transfusions of blood contaminated by the virus a person receiving contaminated
How do you classify statistical findings in order of power: nominal, ordinal, interval, and ratio? Give example by making up values.
For the midcourse PSYC105 test M = 39 (out of 60) and SD = 11.2. What is the deviation score for a person scoring 33 in the test? Complete the formula and show your working and answer.
A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (X2), Compute the coefficient of determination
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