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How do you do this R-code problem?
Obtain an approximation to the t distribution by Monte Carlo simulation. To fix ideas, let n=10. Step S: Generate X1,...,Xn i.i.d. N(0,1) and compute the t-statistic: T = sqrt{n}* barX / hatSigma where barX is the sample mean and hatSigma the sample standard deviation, i.e., the square root of the sample variance. Repeat Step S many times (say 499 times), and collect the 499 values of T in a vector denoted by VT. Plot a histogram of VT and compare it to a plot of the t distribution with m=n-1. Also compute the Monte Carlo approximation to qt(0.975,m) by using the R command: quantile(VT, 0.975).
1. unemploymenta. suppose that 98 million people work and 5 million seek work. what is the unemployment rate?b. now
If a population of raw scores is normally distributed and has a mean μ = 80 and a standard deviation σ = 10, determine the parameters (μX and σX) of the sampling distribution of the mean for the following sample sizes. (a) N = 13
In 1997 the British government created a program
a. Compute the sensitivity of the test b. compute the specificity of the test
1. A psychologist at a private mental hospital was asked to determine whether there was any clear difference in the length of stay of patients with different categories of diagnosis. Looking at the last four patients in each of three major categories..
Construct a cumulative frequency distribution and a cumulative percent frequency distribution. Draw a frequency ogive for the bottle design ratings.
Describe your selected research issue, problem, or opportunity.Formulate a hypothesis statement concerning your selected research issue, problem, or opportunity.Determine your population, and describe which sampling method you would use to generate y..
A maker of a certain brand of low fat cereal bars claims that the average saturated fat content is 0.5 grams. To check the claim, a random sample of 9 cereal bars of this brand were drawn, and the sample mean and sample standard deviation was found ..
Find the probability
Find the probability that a randomly selected U.S. bank will have a net interest margin that exceeds 5.40 percent. Find the probability that a randomly selected U.S. bank will have a net interest margin less than 4.40 percent.
2. The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sample of 60 people used the new toothpaste for 6 months. The mean number of cavities at their next checkup is 1.5. In the ge..
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