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According to a website about salaries, the national average salary as of October 2003 for a human resources clerk was $29,932. We assume that the annual salaries for clerks are normally distributed
Low reliability of the variables reduces the correlation coefficient because:
Assume the distribution of heights among all 15 year old boys is normally distributed with mean 67 and standard deviation 3.19. Imagine a basketball team comprised of thirteen 15 year old boys, th
The Public Library has a board of directors consisting of 6 women and 4 men. A 3-member committee from the board is to conduct a search for a new head librarian.
The weekly income of night cashiers at a major department store follows the normal probability distribution. The standard deviation is $45 with a mean of $550.
A manufacturer of light bulbs advertises that, on average, its long-life bulb will last more than 5000 hours. To test the claim, a statistician took a random sample of 100 bulbs and measured the amo
What are the observational units in this study? What is the variable in this study? Calculate the test statistic and p-value.
If the branch of millitary changes the height requirements so that all women are eligable except the shortest 1% and the tallest 2% what are the new height requirements
Assume the readings on thermometers are normally distributed with a mean of 0 degrees celsius and a standard deviation of 1.00 degrees celsius find the probability that a randomly selected thermome
A manufacturer claims that its wood treatment protects outdoor wood fences a mean of 2601 days with a standard deviation of 40.9 days. Assume a normal distribution. In a test of the claim, the woo
(a) What is the probability that you will wait at least 40 minutes? (b) What is the probability that you will wait more than 51 minutes? (c) What is the probability that you will wait at most 57 mi
An insurance company is reviewing its current policy rates. When originally setting the rates they believed that the average claim amount was $1,800. They are concerned that the true mean is actuall
Assume that a quality characteristic is normally distributed. An x-bar control chart is constructed with 3 sigma control limits. A rule to decide that the process is out of control is given by the
Suppose we draw two tickets from a hat that contains tickets numbered 1,2,3,4. Let X be the 1st number drawn and Y be the second. Find the joint distribution of X and Y.
Find a 95% confidence interval for the regression parameter B1 and use this confidence interval to test the hypothesis H0: B1=0 versus H1: B cannot equal 0. What is the level of significance for the
Experiments have shown that when a clean tungsten surface is heated by laser irradiation using a focused ruby laser, the rate of evaporation of tungsten from the surface is similar to that obtained
Specimens of blood from 10 different animals were analyzed for blood count, say, Y (in units of 100) and packed cell volume count X (in mm^3) with results as given below. Assuming normality, test th
Assuming n= E(Y|X) = beta0- Beta1X, the least squares estimates of beta0 and beta1 and hence the least squares estimate of n. Construct 95% confidence intervals for beta0, beta1, and n0 = beta0 +bet
1. The residents of a housing development for senior citizens have completed a survey in which they indicated how physically active they are (X) and how many visitors they receive each week. You fi
A chemical Engineer wants to fit a straight line to the data found observing the tensile strength, Y, of 10 test pieces of plastic that have undergone baking (at a uniform temperature) for X minutes
It is decided to measure the resistance of sheets of a certain metal at temperatures X of 100K, 200K, 300K, 400K and 500K. The resistances Y are found to be 4.7, 7.4, 12.4, 16.5, and 19.8, respectiv
At the .05 level of significance, test whether speed of execution and overall satisfaction are related. Show the ANOVA table. What is your conclusion?
A company is studying the feasibility of buying an elevator for a building under construction. One proposal is a 10-passenger elevator that, on average, would arrive in the lobby once per minute.
Specimens of blood from 10 different animals were analyzed for blood count, say Y (in units of 100) and packed cell volume count X (in mm^3) with results as given below. Assuming normality, test the
Someone suggests that the lifetime T (in days) of a certain component can be modeled with the Weibull distribution with parameters alpha= 3 and beta = 0.01.