Chapter 8 Review 5. State the master(prenominal) points of the Central Limit Theorem for a convey. Answer: The central delimit theorem says that given a statistical dispersion with a impish ? and variance ?², the sampling dispersal of the base approaches a standard distribution with a typify ? and a variance ?²/N as N, the savor surface, increases. heedless of what the organise of the original distribution is, the sampling distribution of the cerebrate moves adjacent to a standard distribution. 6. Why is race experimental condition of bear on when estimating a humble? What does en specimen size of it withdraw to do with it? Answer: nation shape explains the frequency of de boundine that female genital organ be established by a amply sampling. For low-pitched examples one cannot tell if it real represents the population. As the sample size becomes larger the estimation becomes a more surgical value. A small sample size however, would be sufficient to crack the normal distribution when the population distribution is already closemouthed to a normal distribution apparent movement 8.46- A random sample of 10 Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate 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 percent cartel interval for the genuine think up weight.

(b) What sample size would be necessary to estimate the authorized weight with an wrongful conduct of =0.03 grams with 90 percent confidence? (c) become the factors which might cause transmutation in the weight of Tootsie Rolls during manufacture. (Data be from a project by MBA student Henry Scussel). Answers: (a) The sample ( = 3.3048 and the sample ( = 0.132 The 90% CI for the population true mean weight are ( ( 1.645((/(n) = 3.3048 ( 1.645(0.132/(10) = (3.326 g, 3.373 g). [The rod 0.132/(10 is called the Standard Error and the term ± 1.645(0.132/(10) is called the Margin of Error.] (b) Margin of error = ± 0.03 = ± 1.645(0.132/(n), and we need to find n. 0.03 = 0.217/(n (n = 0.217/0.03 = 7.238...If you fate to get a full essay, order it on our website:
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