Res 341 Chapter 8 Exercises

REVIEW QUESTION # 5 State the main points of the interchange intend Theorem for a suppose. If the original tribe is bell modeld or distributed normally, the sampling dissemination of pisseds forget also be normal. If the original population is non distributed normally, hence the sampling diffusion of fuddleds will approximate a normal dispersal as the sample sizing of it increases. Another point of the electrical switch limit theorem is the variance of the sampling distribution of means is earn to the variance of the population from which the samples were drawn divided by the push through of the samples. Finally, the mean of the sampling distribution of means is equal to the mean of the population from which the samples were drawn. REVIEW QUESTION # 6 Why is population cultivate of concern when estimating a mean? Population shape is a concern when estimating a mean because is the shape is symmetrical, the mean would really be near the tenderness of dist ribution. If the distribution is not symmetrical, because the mean will be away from the center and toward the natural values. What does sample size have to do with it? savor size has everything to do with estimating the mean because the larger the sample size, then the small the standard delusion and it becomes a much more(prenominal) current opine.

When atomic number 53 analyzes the mean with the larger samples, then one will be able to rely on the tests and statistics which run into due north that is solely based on the primordial limit theorem. CHAPTER come 8.46 A random sample of 10 miniatures Tootsie Rolls was taken from a bag. Each pi! ece was weighed on a very faultless scale. The results in grams were: * 131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (A)Construct a 90 portion confidence time interval for the true mean weight. E=z*sigma/sqrt (n) E=1.645*0.13199/sqrt (10) E=0.06866 x-bar=3.3048 Confidence Interval @ 90% =3.3048-0.06866, & 3.3048 +0.06866 (B) What sample size would be necessary to estimate the true weight with an error of + 0.03 grams...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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