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The Federal Trade Commission (FTC) periodically conducts statistical studies designed to test the claims that manufacturers make about their products. For example, a label on the large can of Hilltop Coffee states that the can contains 3 pounds of coffee. The FTC knows that Hilltop's production process cannot place exactly 3 pounds of coffee in each can, even if the mean filling weight is at least 3 pounds per can. However, as long as the population mean filling weight is at least 3 pounds per can, the rights of consumers will be protected.
1. Formulate the null and alternate hypotheses for testing whether the mean filling weight per can of the sample is significantly less than that of the population.
2. Suppose a sample of 16 cans is chosen and the mean filling weight comes out to be 2.92 pounds. If the population standard deviation is 0.18, test whether the sample mean is significantly less than the population mean. Use .05 level of significance.
Based on data about U.S. households, the following logarithmic model was determined:
Dollar General Stores buys detergent from the manufacturer for $2.99 and marks it up 25% of the selling price.
Let ABC be a triangle such that angle B is a right angle. Let L be the midway point of the side AC. Show that the angle DBX is equal to the angle XBL.
What is the compound interest earned?
Classic Furniture Concepts has determined that when x hundred wooden chairs are built, the average cost per chair is given by C(x) = 0.1x2 0.7x + 1.625, where C(x) is in hundreds of dollars. How many chairs should be built in order to minimize the..
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
application of algebra to find the weekly revenueif a manufacturer charges q dollars each for footballsnbspthen he can
A radio transmission tower is 574 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 25o with the ground. How many feet long should the guy wire be?
This paper on "Mammogram Math" by Prof. John Alan Paulos of Temple's Math Dept is the first of several longer term assignments-a "reaction paper" to an article published by Prof. Paulos in the NY Times Magazine, 12/13/09.
Let M>0, and let f:[a,b]-->R be a function which is continuous on [a,b] and differentiable on (a,b), and such that |f'(x)|
Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear. What is y-intercept of the graph?
Draw a scalene triangle and label the vertices, A,B, AND C. The side opposite vertex A is line segment BC. Find the midpoint of line segmentBC by constructing the bisector of line segmrnt BC. label the midpoint M.
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