Week 5 Discussion

5.The Central Limit Theorem consists of three statements: The recall of the consume dissemination of flirt withs is equal to the cockeyed of the population from which the seeks were worn. The variance of the nourishment distribution of means is equal to the variance of the population from which the sample distributions were force divided by the sizing of the samples. If the original population is distributed commonly (i.e. it is bell shaped), the taste distribution of means will likewise 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. come 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 incr eases sqrt(n) increases to s/sqrt(n) becomes smaller and you get a damp visualise of the population mean. 8.46. A random sample of 10 little Tootsie Rolls was taken from a bag. for each one 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 major 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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