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Suppose R is an orthogonal n×n matrix. If U is an n×1 vector of IID N(0, σ2) variables, show that RU is an n×1 vector of IID N(0, σ2) variables. Hint: what is E(RU)? cov(RU)? ("IID" is shorthand for "independent and identically distributed.")
Describe whether statements regarding statistical significance are true or false. When your results are found to be statistically significant, can one conclude that they will have a meaningful effect in the clinic.
let y be a random number with probability density function gy0.5siny where pigeyge0. generate 1000 ys. if nk represents
Composite sampling is a way to reduce laboratory testing costs. A public healthdepartment is testing for possible fecal contamination in public swimming pools. In thiscase, water samples from 5 pools are combined for one test.
The Focus sample contains information on the undergraduate students at the University of Wisconsin - Eau Claire (UWEC). Open the Focus sample worksheet (Focus Sample) and do the following.
If you have a normal distribution of a random variable x, with a mean of 56 and standard deviation of 8: What is the probability that the random variable x will be within plus or minus 1 standard deviation of the mean?
1.sodas in a can are supposed to contain an average of 12 ounces. this particular brand has a standard deviation of 0.1
A t-test can be used to test the probability that the two means do not differ. The alternative is that the reaction times from the group treated with the drug will not be less than that from the control group.
A SRS of size 16 drawn from a Normally Distributed population has a mean of 30 and a standard deviation, s, of 5. With 95% confidence, what is the interval that captures the true mean of the population?
suppose that the company currently has 180 units in stock, and it will not be receiving any further shipments from its supplier for at least 3 weeks. What is the probability that the company will run out of units?
What is the probability that the third toss is heads, given that the first toss is heads?
mallory has discovered that the amount of time it takes for a dollar bill to turnaround is distributed n1981 in weeks.
John conducted his study to measure self-esteem among victims of domestic violence before and after they complete an 8-week program for abuse victims with 10 individuals.
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