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A random sample of 85 group leaders, supervisors, and similar personnel revealed that on the average a person spent 6.5 years on the job before being promoted. The standard deviation of the sample was 1.7 years. Using the 0.95 degree of confidence, what is the confidence interval within which the population mean lies?

MATLAB Problems: 1) For f (x) = e^(-|x|) on [-3, 3], you are to compare evenly-spaced interpolation with Chebyshev interpolation. In this exercise, you do not have to use any loops. b) Modify your script from part (a) to make a new script file to do the following: Compute the n Chebyshev nodes, and call newtdd.m and nest.m the same way you did in part (a) to get an interpolating polynomial on x-values evenly spaced by 0.01 between -3 and 3. Plot the new interpolating polynomial, and also plot the vector of the absolute errors between the interpolating polynomial and […]

Suppose a bus arrives at a station such that the time between arrivals is exponentially distributed with rate 1/λ. To get home, you decide to wait for the bus for some number of minutes t. If the bus has arrived before t minutes, you take the bus home which takes time B. If the bus has not arrived after t minutes, you walk home which takes time W. (a) What is the expected total time from getting to the bus stop until getting home? (b) Suppose W < 1/λ + B at what value of t is the expected wait […]

A box of nine golf gloves contains two left-handed and seven right-handed … box without replacement, what is the probability that— (X) both gloves are right handed and (Y) one left-handed and one … (iii) If two gloves are randomly selected with replacement, what is the probability that they would both be right-handed?

In an English Class, the midterm exam raw scores (i.e., the values of x) form a normal distribution, with a mean of 239 and a standard deviation of 37. What percentage of exam scores are more than 1.5 standard deviations of distance away from the mean?