Res 341 Chapter 8 Exercises

REVIEW QUESTION # 5 State the main points of the cardinal intend Theorem for a suppose. If the original existence is bell modeld or distributed normally, the sampling dissemination of pie-eyeds forget also be normal. If the original population is non distributed normally, hence the sampling dispersal of considers will approximate a normal dispersion as the sample sizing of it increases. Another point of the electric switch limit theorem is the variance of the sampling distribution of means is generate to the variance of the population from which the samples were drawn divided by the dig up 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 radiation diagram 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 tendernes s of distribution. If the distribution is not symmetrical, therefore the mean will be away from the center and toward the natural values. What does sample size have to do with it? seek 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 than current see.

When unmatched analyzes the mean with the larger samples, then one will be able to rely on the tests and statistics which deal due north that is solely based on the important limit theorem. CHAPTER come 8.46 A random sample of 10 miniatures Tootsie Ro lls was taken from a bag. Each piece was wei! ghed 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 pct 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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