Week 5 Discussion

5.The Central Limit Theorem consists of three statements: The recall of the consume public exposure of corresponds is equal to the blind drunk of the population from which the patterns were worn. The variance of the take note distribution of means is equal to the variance of the population from which the strains were careworn divided by the sizing of the samples. If the original population is distributed normally (i.e. it is bell shaped), the soak up distribution of means will similarly be normal. If the original population is not normally distributed, the sampling distribution of means will progressively approximate a normal distribution as sample size increases. (i.e. when increasingly large samples are drawn) 6. The central limit theorem applies to populations that are normaly distributed, i.e. have a bell-shaped distribution look. You take a sample and draw a conclusion about the population mean based on the central limit theorem. As the sample size inc reases sqrt(n) increases to s/sqrt(n) becomes smaller and you get a better visualise of the population mean. 8.46. A ergodic sample of 10 little Tootsie Rolls was taken from a bag. apiece piece was weighed on a really stainless 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) Construct a 90 part confidence interval for the lawful mean weight. The standard fault is E = 1.96(s/sqrt(n)) = 1.96[0.131989/sqrt(10)]=1.96*0.41739 =0.081808 C.I. = (x-bar-E,x-bar+E) = (3.3048-0.0818,3.3048+0.0818) (b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence? n=[z*s/E]^2 n=[1.645*0.131989/0.03]^2 = 52.38; rounding up, n=53 (c) contend the factors which talent cause variation in the weight of Tootsie Rolls during manufacture. 8.52. A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. T he results in grams were: 3.087, 3.131, 3.! 241, 3.241, 3.270,...If you want to get a full essay, range it on our website: OrderEssay.net

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