5. State the main points of the Central Limit Theorem for a convey.
Answer: The central limit theorem says that given a statistical distribution with a fuddled ? and variance ?², the sampling distribution of the base approaches a normal distribution with a mean ? and a variance ?²/N as N, the savor surface, increases. Regardless of what the organise of the original distribution is, the sampling distribution of the mean moves adjacent to a normal distribution.
6. Why is population shape of bear on when estimating a mean? What does ensample size have to do with it?
Answer: Population shape explains the frequency of values that female genital organ be established by a full sampling. For low-pitched samples one cannot tell if it really represents the population. As the sample size becomes larger the estimation becomes a more accurate value. A small sample size however, would be sufficient to founder the normal distribution when the population distribution is already nigh to a normal distribution
Question 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 confidence interval for the genuine mean weight.
(b) What sample size would be necessary to estimate the true weight with an error of =0.03 grams with 90 percent confidence?
(c) plow the factors which might cause variation 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 terminal 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 emergency to get a full essay, order it on our website: Ordercustompaper.com
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