Week 5 Discussion

5.The Central Limit Theorem consists of three statements: The recall of the consume distribution of symbolizes is equal to the retrieve of the population from which the consumes were worn. The variance of the hold open distribution of means is equal to the variance of the population from which the adjudicates were pinched divided by the sizing of the samples. If the original population is distributed unremarkably (i.e. it is bell shaped), the sample distribution of means will in like manner be normal. If the original population is not normally distributed, the sampling distribution of means will increasingly 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. shoot 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 increases sqrt(n) increases to s/sqrt(n) becomes smaller and you get a interrupt visualise of the population mean. 8.46. A hit-or-miss sample of 10 little Tootsie Rolls was taken from a bag. severally 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 co nfidence? n=[z*s/E]^2 n=[1.645*0.131989/! 0.03]^2 = 52.38; rounding up, n=53 (c) contend the factors which power 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. The 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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