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1.) Extending the life of an aluminum smelter pot. An investigation of the properties of bricks used to line aluminum smelter pots was published in The American Ceramic Society Bullet (Feb. 2005). Six different commercial bricks were evaluated. The life length of a smelter pot depends on the porosity of the brick lining (the less porosity, the longer the life); consequently, the researchers measured the apparent porosity of each brick specimen, as well as the mean pore diameter of each brick. The data are given in the accompanying table. Smeltpot Brick Apparent Porosity (%) Mean Pore Diameter (micrometers) A 18.8 12.0 B 18.3 9.7 C 16.3 7.3 D 6.9 5.3 E 17.1 10.9 F 20.4 16.8 a.) Find the least squares line relating porosity (y) to mean pore diameter (x). b.) Interpret the y-intercept of the line. c.) Interpret the slope of the line. d.) Predict the apparent porosity percentage for a brick with a mean pore diameter of 10 micrometers.
You are estimating the cost ($K) of optical sensors based on the power output of the sensor. Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your intermediate calculations to 3 decimal pl..
A sample of n= 16 scores has a mean of M = 45 and SS = 960. Calculate the sample standard deviation (s) and the estimated standard error for the sample means (SM).
lakewood fashions must decide how many lots of assorted ski wear to order for its 3 stores. Information on pricing, sales and inventory costs has led to the following payoff table. what decision should be made using minimax regret.
A nutritionist wants to estimate the mean amount of cholesterol in a certain variety of chicken eggs. She wants to be within 14 mg. with 99% confidence.
The company you work for employs 585 assembly-line workers - 526 men and 59 women. 16 men and 10 women have been laid off.
Over the past few years, banks have strongly promoted online banking and the paying of bills online. In 2003, about 50% of internet users paid bills online.
An article reports that when each football helmet in a random sample of 44 suspension-type helmets was subjected to a certain impact test, 25 showed damage.
Find the maximum total allowable weight if you want a 0.975 probability that this maximum will not be exceeded when 16 males are randomly selected.
What is a test of a proportion and give an example. What test do you use when one sample is small and the other large?
For which of the following situations is it appropriate to use a scatter diagram or scatter plot?
In a Singapore Edition of Business Times, diamond pricing we explored. The price of a diamond is based on the diamond's weight, color, and clarity. A Simple random sample of 18 one-half-carat diamonds had the following prices, in dollar's
Suppose Y is a data matrix, and Z = YF for some orthogonal matrix F, so that Z is a rotated version of Y. Show that the variances of the principal components are the same for Y and Z. (This result should make intuitive sense.) [Hint: Find the s..
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