Res 342 Week 1 E-Text

E-Text Week 1 Name RES/342 Instructor date 8.48 A model of 20 pages was taken without replacement from the 1,591-page speech sound directory Ameritech Pages Plus Yellow Pages. On each page, the mean sphere devoted to let out ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The info (in square off 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) ameliorate oneself a 95 percent sureness interval for the acquire mean. (b) Why might newton be an issue here(predicate)? (c) What standard 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 scheme by MBA student Daniel R. Dalach.) Solution: (a) Here n = 20, represent x = 346.5, Standard Deviation s = 170.38 Since n<30 we must use t-table.  d.f. = 19 For 95% confi dence -------->  ? = 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 northward is an issue since the sample of 20 might not sustenance 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 likely not normal. Reducing it to, say, 90% confidence would reduce the infallible 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 counte d. There were 86. (a) Construct a 90 percent! confidence interval for the proportion of all kernels...If you expect to make out a full essay, order it on our website: BestEssayCheap.com

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