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A bacteria culture initially contains 2000 bacteria and doubles every half hour. The formula for the population is p(t)=2000 e^{kt} for some constant k. (You will need to find k to answer the following.) Find the size of the baterial population after 40 minutes. Find the size of the...
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A manufacturer claims that the average lifetime of its lightbulbs is equal to 36 months. A random sample of 64 bulbs has a mean lifetime of 32 months, and the sample standard deviation is 11 months. We will be using a z-test for the population mean at = 0.05 to check the manufacturer s...
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Using Excel, find the z-score that corresponds to the following Confidence Levels: a. 80% b. 85% c. 92% d. 97%
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A 11 kg runaway grocery cart runs into a spring with spring constant 270 N/m and compresses it by 65 cm.
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poissant model
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The director of admissions at the University of Maryland is concerned about the high costs of textbooks for the students each semester. A sample of 45 students enrolled in the university indicates that X (bar) = $285.40 and s = $42.20. a. Using the 0.05 level of significance, is there evidence...
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According to Investment Digest ("Diversification and the Risk/Reward Relationship", winter 1994, 1-3), the mean of the annual return for common stocks from 1926 to 1992 was 15.4%, and the standard deviation of the annual return was 24.5%. During the same 67-year time span, the...
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A manufacturing company produces electric insulators. If the insulators break when in use, a short circuit will likely occur. To test the strength of the insulators, destructive testing in high powered labs is carried out to determine how much force is required to break the insulators....
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This Problem is from STARK/Woods Probability books, In problem 7.35, I wondered about how to integrate the fourier transfore
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Prepare a 350-word memo to Myra Reid, the Vice President of Production at Blue Inc. Inform Myra of your forecasts and explain the reasons for your decision. Account for results of the previous two cycles of the simulation in your explanation to Myra.
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- 1. A school administrator wonders if students whose first language is not English score differently on the math portion of the sat exam than students whose first language is English. The mean SAT math score of students whose first language is english is 516 on the basis of data obtained from the college board. A simple random sample of 20 students whose first language is not English result in a sample mean SAT math score of 522. SAT math score are normally distributed with a population standard deviation of 114. Why is it necessary for SAT math scores to be normally distributed to test the hypothesis?
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