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Probability and Statistical Methods1. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%.They took a sample of 300 lenses and found 5 lenses that had surface defect. Formulate a test appropriate for verification of polishing machine using α = 0.05. Please provide the steps of the formulated test. Problems are not to be resolved with statistic software.
2. 15 boxes of 350 grams corn flakes sodium content were determined. Data (in milligrams) are as follows: 128.77, 131.15, 129.65, 132.33, 130.54, 130.72, 131.67, 133.02, 127.98, 130.12, 129.37, 129.91, 130.19, 128.64 and 131.62.There is enough evidence, at a significance level of 10%, to conclude that this brand of corn flakes average sodium content is 130 milligrams? Please provide the steps. Problems are not to be resolved with statistic software.
Find the alternative hypothesis and the null hypothesis.
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
The trigonometric expression to estimate the value
use a suitable method for generating the number of days needed to repair the copier, when it is out of service, according to the discrete distribution shown and Using simulation estimate the loss of revenue due to copier breakdown for one year
Does length of the police contact influence perception of the contact?
A mall has three department stores, JC Penney, Macy's, and Sears. A survey of 2,118 people exiting the mall found that 433 made a purchase at JC Penney, 412 made a purchase at Macy's, 638 made a purchase at Sears
Calculate the mean of the distribution of sample means and the population mean.
Determine the equation of the straight line and Write a linear equation that describes the book value of the machine each year
Constraints, Decision variables, Objective functions
Find the derivative of the function by using quotient rule.
A hollow cone is cut by a plane parallel to the base and the upper portion is removed. if the volume of the frustum obtained is 26/27 of volume of the cone. find at what height above the base the section is made, if height of the cone is 30cm
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
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