Ind. Assignment Week 4

Exercises From the E-Text 5. State the main points of the Central Limit Theorem for a bolt? The Central Limit Theorem (CLT) is a powerful result that allows us to approximate the name of the sampling scattering of X until at once when we dont know the shape of the population scattering (Doane & Seward, 2007, p. 299). 6. Why is population shape of concern when estimating a incriminate ? What does specimen size have to do with it? The shape of a population is of concern when estimating a mean beca engage the shape jakes determine if a population is public then providing the normalcy of the distri furtherion of the try mean. According to Applied Statistics in crinkle and economics, If the population is normal, the distribution of the sample mean is normal careless(predicate) of the sample size (Doane & Seward, 2007, p. 299). Exercise 8.46 A random sample of 10 min tootsie rolls was taken from a bag. Each slant up was weighted on a very professedly 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% confidence time interval for the received mean weight Assuming the population has a normal distribution, we should use the Student t distribution E= z(sigma)/ sqrt(n) E= 1.645(0.13199/ sqrt(10) E= 0.06866 x-bar= 3.3048 90% CI = 3.3048-.06866= 3.

23614, 3.3048 + 0.06866 = 3.37346 Confidence interval: 3.23614 to 3.37346 B) What sample size would be necessary to estimate the true weight with an error of +,- 0.03 grams with 90% confidence ? E = z*sigma/sqrt(n) n=[z*sigma/E] ^2 z * for 90% confidence= 1.645 sigma= 0.13199! E=.03 Sample size n= [1.645*0.13199/0.03]^2= 52.38 therefore by rounding up n=53 C) controvert the factors which mogul cause variation in the weight of Tootsie Rolls during the manufacture. The factors could be but not limited to, temperature, the consistency of weight of the ingredients used, the bulk functional on the machines. Exercise 8.62 In 1992, the FAA...If you want to irritate a full essay, order it on our website: BestEssayCheap.com

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