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In the academic year 1997-1998, two random samples of 25 male professors and 23 female professors from a large university produced a mean salary for male professors of $58,550 with a standard deviation of $4000 and an average for female professors of $53,700 with a standard deviation of $3200. At the 5% signi?cance level, can you conclude that the mean salary of all male professors for 1997-1998 was higher than that of all female professors? Assume that the salaries of male and female professors are both normally distributed with equal standard deviations.
Then write the Gibbs sampler to generate a sample from this distribution. In particular, say, we start with (X, Y) = (12, 12) and ρ = 0.7. What is the Gibbs procedure to generate a sample from a binormal distribution?
Find the percentage of the 1000 enemy that will be destroyed.
let a dart fall uniformly at random on a circular dart board of radius 9 inches. let x denote the distance of the dart
The distribution of the height of students in a large class is roughly bell-shaped. The average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches. Thus, the standard deviation of the height distribution is appr..
High School GPA is normally distributed with a mean of 3.06 and a standard deviation of 0.40. The probability of a randomly chosen student having a HS GPA between 3.54 and 3.80 is
a researcher wants to prove that there is a difference in the average life spans between men and women in japan. let
sales 2363 2.1 advertising - 279 price - 136 unemplpyment r2 .76units of measurement sales is in product units
suppose a researcher was investigating how much time students spend studying each week. she randomly selected 100
there are 1000 students in the senior class at a certain high school. the high school offers two advanced placement
Let S be a subspace in Rn and {x1, x2, ..., xn} be a set of vectors whose span is S. The only vector d such that the cross product of d and xi is 0 for all i = 1, 2, ..., n is the zero vector.
If F(x, y) is the value of the joint distribution function of the two continuous random variables X and Y a (x, y),
A fast food chain restaurant chain claims that lunch will be served within nine minutes of placing your order, or it is free. A sample of eight customers revealed the following waiting times in minutes:
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