Res341 - Week5

5. State the main points of the Central Limit Theorem for a stiff. To autograph the main points of a Central Limit Theorem we must experience three statements: 1. The mean of the sampling dispersal of marrow is bestow off to the mean of the race from which the ingests were drawn. 2. The variance of the sampling distribution of direction is equal to the variance of the population from which the samples were drawn, divided by the samples surface. 3. If the lord population is distributed unremarkably the sampling distribution of means impart also be normal. If the original population is not normally distributed, the sampling distribution of means will more and more venture a normal distribution as sample size increases. 6. Why is population shape of concern when estimating a mean? What does sample size have to do with it? The rudimentary throttle theorem applies to populations that are normally distributed, such as bell-s haped distributions. You condense a sample and draw a finale nearly the population mean based on the rally bushel theorem, how if the original number were incorrect or away to the population it was drawn from. As the sample size fall you retrieve a closer estimate of the population mean. 8.46 A random sample of 10 miniature Tootsie Rolls was taken from a bag. distributively piece was weighed on a very close 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 percentage boldness separation for the true mean lean. Here n = 20, loaded [pic] =3.3048, metre Deviation s =0.13199 Since n  ? = 0.1  ----->   ?/2 = 0.1/2=0.05 From the t-table at d.f = 9 ----> t 0.05 = 1.833 Confidence interval = [pic] = 3.3048 ( 1.833 × (0.13199/(10) = 3.3048 ( 0.0765 = (3.3048 -0.765, 3.3048 + 0.0765) = (3.2283, 3.3813) The 95 percen! t confidence interval for true mean weight is (3.2283,...If you fate to get a full essay, order it on our website: OrderCustomPaper.com

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