Res 341 Chapter 8 Exercises

REVIEW QUESTION # 5 State the main points of the profound intend Theorem for a suppose. If the original tribe is bell modeld or distributed normally, the sampling dissemination of lowlys forget also be normal. If the original population is non distributed normally, hence the sampling dispersal of wets will approximate a normal distribution as the sample sizing of it increases. Another point of the commutation limit theorem is the variance of the sampling distribution of means is give way to the variance of the population from which the samples were drawn divided by the come forth 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 mold 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 oculus of distribution. If the distribution is not symmetrical, hence the mean will be away from the center and toward the natural values. What does sample size have to do with it? example 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 think. When one(a) analyzes the mean with the larger samples, then one will be able to rely on the tests and statistics which attach due north that is solely based on the profound limit theorem. CHAPTER come 8.46 A random sample of 10 miniatures Tootsie Rolls was taken from a bag. Each piece 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 per centum 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) Wha t 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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