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homework_4 - 2028 Basic Statistical Methods Homework 4 This...

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2028: Basic Statistical Methods Homework 4 This homework is due Thursday, October 6th in class BEFORE class starts . Late papers will not be accepted. Please do not turn in any papers to any mailbox. Please remember to staple if you turn in more than one page. You must SHOW ALL WORK. If you do not show your work, you may not receive full credit. I Mean Confidence Interval Estimation 1 A sample of 61 bottles of chemical solution is obtained and the solution densities are measured. The sample mean is ¯ x = 0 . 768 and the sample standard deviation is s = 0 . 0231. Find the value c for which μ ( c, ) is a one-sided 99% t-interval for the average solution density μ . Is it plausible that the average solution density is less than 0.765? 2 Textbook 8-88 page 279 II Proportion Parameter Estimation 1 A stamping machine produces can tops. Randomly selected can top produced by this machine is non-conforming with probability 0.003. i. What is the exact theoretical distribution for the number of non-confirming items in a batch of n items. What assumptions about the production process should be made so that this distributional assumption is valid.
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