Res 342 Week 1 E-Text

E-Text Week 1 Name RES/342 Instructor task 8.48 A model of 20 pages was taken without replacement from the 1,591-page knell directory Ameritech Pages Plus Yellow Pages. On each page, the mean plain devoted to let out ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The info (in feather millimeters) are shown below: 0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130 (a) spare oneself a 95 percent sureness interval for the legitimate mean. (b) Why might newton be an issue here(predicate)? (c) What prove size would be needed to obtain an illusion of ±10 square millimeters with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is. (Data are from a project by MBA student Daniel R. Dalach.) Solution: (a) Here n = 20, rigorous x = 346.5, Standard Deviation s = 170.38 Since n<30 we must use t-table.  d.f. = 19 For 95% confidence --------&g t;  ? = 0.05   ----->   ?/2 = 0.025 From the t-table at d.f = 19 ---->  = 2.093. Confidence interval = = 346.5 2.903 × (170.38/20) = 346.5 79.74 = (266.76, 426.24) The 95 percent confidence interval is (266.76, 426.24) (b) The C.I. is a statement about the population.

The normality is an issue since the sample of 20 might not wipe out been randomly selected from the whole population. Moreover, the data is not continuous and contains 2 zeroes. (c) Here Standard deviation = 170.38 E = 10 = 99%, so Z = 2.576 Now, Sample size n = ZE2 = (d) 99% confidence is too tight for a distribution that is i n all likelihood not normal. Reducing it to,! say, 90% confidence would reduce the mandatory sample size. 8.64 Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed(prenominal) connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. (a) Construct a 90 percent confidence interval for the proportion of all kernels...If you need to make out a full essay, order it on our website: BestEssayCheap.com

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