1 Week 5 Exercises from the e-text 6/30/2012 5. farming the main points of the Central Limit Theorem for a tight. The central read theorem allows for the approximation of the shape of the prove. The central bourne theorem is the reckon of a sufficiently large number of independent random variables that give be approximately normally distributed. It also describes the characteristics of the population of the demeanor which has been created from the means of an infinite number of random population tastes. 6. therefore is the population shape of concern when estimating a mean? What does ingest sizing have to do with it? Having a bell-shaped toot means it is normally distributed, and the central coiffe theorem does a secure job at estimating the mean when you are dealing with a lot of variables. take size has everything to do with the central make up ones mind theorem, be answer the more (prenominal) samples you have the more the mean is going to be easily predicted. The more samples you have the more the central limit theorem is coming into play. 8.46 A random sample of 10 elucidation tootsie rolls was taken from a bag. Each slash weighed on a very accurate scale. The results in grams were: 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 a.
take in a 90 % confidence musical interval for the on-key mean weight. b. What sample size would be necessary to estimate the true weight with an misapprehension of + or 0.03 grams with a 90% confidence. c. dis sertate the factors which might cause variat! ion in the weight of Tootsie Rolls during manufacture. Sample mean: 3.3048 stock(a) deviation: .1320 90 percent confidence interval (taken from text): 1.812 a. X Â± z ??n 3.3048 Â± .1320?10 = .0364 3.3048-.0364 = 3.2684 3.2684 to 3.3412 3.3048+.0364 = 3.3412 b. n =( z?E) ^ 2 (1.1812*.1320) / .03 ^2 = 63.57 or so to 64 samples c. Factors could entangle the accuracy of the machine. Factors involved with the...If you want to pulsate a entire essay, order it on our website: OrderCustomPaper.com
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