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Let S be a random variable (not necessarily positive). Prove using Markov's inequality that for every p>0 and for every constant q,
P(S>=a) (=<) exp(-pq)E(exp(pS))
Here >= denoted greater than or equal to, and =< denotes less than or equal to.
Testing for population mean - What happens as you use different levels of significance? Different values of the standard deviation?
Set up the following null and alternative hypotheses for both factors and their interaction. You should have three verbal statements, not symbolized statements.
Using the original data, estimate the population standard deviation with 90% probability.
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.
Calculate the mean and the standard error of the sampling distribution of the sample means. Also, find the mean and standard error of the sampling distribution for samples of size 5.
Find out equation of the line of best fit. Find out r - Is there a strong relationship?
Consider a sample with data values of 10,20,12,17, and 16.... Compute the mean and median and explain how you get to the answer....
Would you expect the mean absolute percentage error to be more than or less than 0.25? Describe.
mean is calculated for each sample, then the average distance between M and u would be:
Produce the scatter plot for sodium and bp. Do you think there are any outliers?
Be able to conduct a one-tailed hypothesis test for the mean at the .025 significance level. State the null and alternative. State the critical value. Draw a diagram. Provide the computation of the test statistics. State your decision in terms of ..
When combining probabilities, to find the probability of one event AND another event, the separate probabilities should be:
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