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In a sample batch of 46 mechanical pencils it is assumed that 18 are defective. If 5 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Estimate with 90% confidence the difference in the level of satisfaction with service between the two branches.
What is the probability that the sample mean would differ from the true mean by greater than .04 dollars if a sample of 183 5 gallon pails is randomly selected? Round answer to 4 decimal places.
A coin is flipped 5 times in a row. What is the probability that it will come up heads all 5 times? For the data in question above, calculate the Sum of Squares Error (SSE).
Bill is completing a project for you in the marketing department. In conducting his anaysis regarding consumer behavior and a new product that has been released, he tells you the correlation between these two variables is 1.09.
A nutritionist conducted an experiment on memory for dreams. She wanted to test whether it really was true that eating cheese before going to bed made you have bad dreams. Over three nights, the nutritionist fed people different foods before bed.
Sprinkler Systems. A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135 degrees F.
Setup the alternative hypothesis that will test the claim that the percentage of women preferring white wine is 25% higher than men.
Smoking on campus. suppose 20% of the students on campus smoke. you select two students at random. In what percentage of samples will both students be smokers?
Write the Lagrangian for a one-dimensional particle moving along the x-axis and subject to a force F=-kx (with k possitive). Find the lagrange eqn of the motion and solve it.
A feed company is developing a feed supplement from two grains A and B. Each kilogram of A contains 0.3 grams of protein and 0.2 grams of carbohydrates; each kilogram of B contains 0.9 grams of protein and 0.1 grams of carbohydrates.
Construct a frequency distribution of the sample mean, and plot a histogram of this distribution. Use the central limit theorem to calculate and identify the sampling distribution of the sample mean.
What would be a good example of a null and alternative hypotheses for a decision relevant in life? What Type I and Type II errors could occur with your decision-making process?
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