Question

128 In Review Question 11.12 on page 218, instead of testing a hypothesis, you might prefer to construct a confidence interval for the mean weight of all 2-pound boxes of candy during a recent production shift. (a) Given a population standard deviation of .30 ounce and a sample mean weight of 33.09 ounces for a random sample of 36 candy boxes, construct a 95 percent con- fidence interval. (b) Interpret this interval, given the manufacturer's desire to produce boxes of candy that, on the average, exceed 32 ounces.

Answer 1

bleight of all hores in candy plant in duction line is our population being teited. Hypother Test u is 33 ounce Hoi Mean weight of boxes Incan_coach of hoyatir great thos 33 OUDrer Table value zo Zoos = 1.64 - Test slatistic u 33.09 - 33 0 .30 6 decision! Here table value 1.64 is less than test statistic value. Hence we reject! Nul Hypothees Conclusion Honce cor conclude that much mean weight of bovel. Ir greater than 33 ouoret I al Here coe we one failed tat upper tail. critical became for one sample we get me more than 33 ounce ++ not necesang mean of weight is always greater than or sample

Poration mean a cuncelic get real ple means the one of porcibilite na Rucny 15 samples to anys dreaten than sopulation meana a have done one ample I z test (bez Population standard deviation is known a) Given deviation live population standard population Sample mear cocicht - 3309 f No of chs - 36 candy have Ortoconfidence interuel. cle 902 Gaz GIZ - (33 09 - (1.96x 030) 33.09+(196x 03 Vic (33.09 - 0.098 33.09 + 0.098) (32.992, 33.131) b) we are 95% confident that the tric paruction paramets lie within thic