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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.
(a) What is the relative frequency (i.e., proportion) of observations falling in the 0.260-0.280 interval? (Give your answer to four decimal places.) (b) What is the shape of the data distribution?
Please perform a hypothesis test using a .05 significance level on the following information. Next please perform a regression analysis as well as providing a scattered diagram.
The null hypotheseis it true? Sketch the density curve of the sampling distribution. Be sure to locate mean and standard deviationn correctly.
You sample a group of computers and use the sample statistics to calculate a 95% confidence interval of (-10.95, -1.5). This interval estimates the difference of (average boot time (HDD) - average boot time (SSD)). What can we conclude from this i..
What size sample would be required to estimate the proportion of unemployed college students if we want the margin of error not to exceed 3 percent?
Explain what synthetic division is. Illustrate with example. In synthetic division, what relationship does the divisor and remainder have to the original polynomial function, according to the Remainder Theorem?
Find the values of b0 and b1 using the method used in regression, and predict the time in minutes required by the operator to produce the component, after 3 hours of training.
Suppose that a guest claims that she played the slot machine 5 times and hit the jackpot twice. Find the probability of exactly 2 jackpots in 5 trials.
Find the confidence interval for the difference of the two means - Is there a significant difference in teacher's salaries between two states
Researchers at the Brigham & Women's Hospital recruited 2,000 participants to study the relation between diet and cholesterol.
An expert witness in a case of alleged racial discrimination in a state university school of nursing introduced a regression of the determinants of Salary of each professor for each year during an 8-year period (n = 423) with the following results, w..
Suppose that three teachers apply for positions in the school, obtaining scores of 18, 32, 42, respectively, on the teacher certification test. Compute their predicted ratings of teacher effectiveness.
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