Res341 - Week5

5. State the main points of the Central Limit Theorem for a stiff. To engrave the main points of a Central Limit Theorem we must visualise three statements: 1. The mean of the sampling diffusion of marrow is fun off to the mean of the race from which the attempts were drawn. 2. The variance of the sampling distribution of centre 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 non normally distributed, the sampling distribution of means will progressively 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 cardinal throttle theorem applies to populations that are normally distributed, such as bulging distri butions. You condense a sample and draw a end point nearly the population mean based on the primaeval bushel theorem, how if the original number were incorrect or imprecise to the population it was drawn from. As the sample size reduced 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 immaculate 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 reliance separation for the true mean heavin ess. Here n = 20, stringent [! 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 percent 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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