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Removing oil from a water/oil mix. In the oil industry, water that mixes with crude oil during production and transportation must be removed. Chemists have found that the oil can be extracted from the water/oil mix electrically. Researchers at the University of Bergen (Norway) conducted a series of experiments to study the factors that influence the voltage (y) required to separate the water from the oil (Journal of Colloid and Interface Science, August 1995). The seven independent variables investigated in the study are listed in the table below. (Each variable was measured at two levels-a ''low'' level and a ''high'' level.) Sixteen water/oil mixtures were prepared using different combinations of the independent variables; then each emulsion was exposed to a high electric field. In addition, three mixtures were tested when all independent variables were set to 0. The data for all 19 experiments are also given in the table.
(a) Propose a first-order model for y as a function of all seven independent variables.
(b) Use a statistical software package to fit the model to the data in the table.
(c) Fully interpret the β estimates.
(d) Find and interpret s.
(e) Find and interpret R2.
(f) Conduct a test of overall model utility.
(g) Do you recommend using the model in practice? Explain.
A random sample of 15 items is taken, producing a sample mean of 2.364 with a sample variance of 0.81. Assumexis normally distributed and construct a 90% confidence interval for the population mean.
Wall Street securities firms paid out record year-end bonuses of $125,000 per employee. Suppose we take a sample at Goldman Sachs to see whether the year-end bonus is different from the population mean in Wall Street companies
What are the mean earnings of males and females in this sample? Does the regression result support the claim in the news and You decide to control for age (in years) in your regression results because older people, up to a point
The access code for a car's security system consists of Five digits. The first digit cannot be zero and the last digit must be odd. How many different codes are available?
A major dvd rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with dvd playe..
Vehicle speeds at a certain highway location are believed to be approximately normally distributed with a mean of 60 mph and standard deviation of 6 mph. For each of the following questions, fill in the blank with the appropriate speeds. Apply the Em..
What is the probability that the sum of the two integers will equal 9
People call a suburban hospital's health hotline at the rate of eighteen per hour on Monday mornings; this can be described by Poisson distribution. Providing general information or channeling to other resources takes an average of three minutes per ..
A survey of people in Iowa showed that 40 out of 400 prefer watching TV comedy shows. Another survey in Colorado showed that 90 out of 600 prefer watching TV comedy shows. At a 1% significance level, would it seem that the true proportions of p..
Mickey Lawson is considering investing some money that he inherited. The following payoff table gives the profits that would be realized during the next year for each of three investment alternatives Mickey is considering:
Wilco is a manufacturer in a mature cyclical industry. During the most recent industry cycle, its net income averaged $30 million per year with a standard deviation of $10 million (n=6 observations). Management claims that Wilco's performance during ..
1.if your data is a random sample of size n from the distribution N(4, 7), then what is the distribution of the statistic X(not Z or T)? Z?T?
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