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The length of certain bricks is a random variable with a mean of 8 inches and a standard deviation of 0.1 inch, and the thickness of the mortar between two bricks is a random variable with a mean of 0.5 inch and a standard deviation of 0.03 inch. What is the mean and the standard deviation of the length of a wall made of 50 of these bricks laid side by side, if we can assume that all the random variables involved are independent?
Find a 95% confidence interval for the mean dielectric strength of the oil.
Compute the grouped data mean for this distribution. Use MINITAB and using the original scores, compute the raw-data mean. Use MINITAB.
Verify that the fitted values have the same mean as the actual y-values, and that the residuals have mean zero and show that the variance of the fitted values plus the variance of the residuals adds up to the variance of y. Find the R-squared.
Ace Machine Works estimates that the probability its lathe tool is properly adjusted is 0.8. When the lathe is properly adjusted, there is a 0.9 probability that the parts produced pass inspection.
The sampling plan is perhaps the single most important aspect of generalizing research findings beyond the study sample. In a quantitative research study, what method of sampling allows for the greater generalization of findings?
Test the regression model for significance of regression. Using a = 0.05, find the P-value for the test and draw conclusions. Evaluate the contribution of each regressor to the model using the t-test with a = 0.05
Management wishes to know how many casks of each wine to make to maximize total. profit. Prepare the linear programming model for this problem.
Group 2 data [ 141, 139, 172, 131, 150, 125. Assume normal distribution, with equal variance in the two groups and conclusion for a=0.05.
The population of lengths of aluminium-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.
(a) Draw a boxplot of these data. Do you think a normality assumption is reasonable? (b) Calculate a 95% confidence interval for the mean payback period for this sort of retro-fitted double glazing. (c) How large a sample would be needed to estimate ..
Find the probability that the selected student is the oldest or an only and find the probability that the selected student is enrolled in the College of Arts & Science.
Test the null hypothesis that no difference exists between the proportions in population 1 and 2 needing major repairs against the alternative that a difference does exist. Use α = 0.10
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