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An experiment was performed to improve the yield of a chemical process. Four factors were selected, and one replicate of a completely randomized experiment was run. The results are shown in Table E3.4. (a) Estimate the factor eeffects. Construct a normal probability plot of these eects. Which eeffects appear large? To assess signif cance use the calibrated Lenth procedure with SMOE to pool errors. (b) Prepare an analysis of variance table using the information obtained in part (a). (c) Plot the residuals versus the predicted yield and on normal probability paper. Does the residual analysis appear satisfactory? (d) Construct a contour plot of yield as a function of the important process variables.
Draw the OC curve. If the average number of defects increased by to 10 per tractor, what would the probability of detecting the shift in a control chart?
A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this distribution, what is the probability that the score will be less than X = 55?
Determine a random number generator and make simulated data for not more than 25 participants (test subjects) in study using ranges of values for variables you established above.
Is it reasonable to compute that the mean of the population is actually $15,000.
The standard deviation equaled five days. Assuming that the distribution is normal, what percent of the invoices were paid within 15 days of receipt?
Chebyshev's Theorem states that the percentage of observations in a data set that should fall within five standard deviations of their mean is
Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
Each patient also submits the blood sample and their glucose tolerance status is determined. Determine the sensitivity of screening test?
How large would an SRS of American adults need to be in order for it to be safe to assume that the sampling distribution of X is approximately Normal?
In terms of the standard scores for both sections, the score of which section was better? What are the z-scores for both sections?
Eight randomly selected plants have heights 172, 156, 154, 163, 170, 169, 170 and 164 cms. Test whether the sample standard deviation differs significantly?
The weekly salaries one year after graduation are normally distributed with a standard deviation of $85. If one graduate is randomly selected. Describe the distribution of the weekly salaries being earned one year after graduation.
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