Question

It's a multi part question set - if you can't finish all of it, that's ok! I would just really appreciate any and all help as soon as possible, will give thumbs up, thank you so much in advance!

Thank you!! Inventory management There are 13 questions in this set As you proceed through these questions, use necessary information from previous questions. Walzon recently made changes to its inventory management and delivery systems. Walzon wants to know whether these changes have reduced mean delivery time (number of hours from placing an order to receiving the item). Walzon wants to test the null hypothesis that mean delivery time is at least 37 hours against the alternative hypothesis that mean delivery time is less than 37 hours. Assume that delivery times are approximately normally distributed, with a known standard deviation of 8 hours. A random sample of 64 observations will be used to conduct the hypothesis test. What is the probability model for the observations? GENERAL POPULATION: X, i = 1, ..n are i.i.d. random variables with E[x] = 1 and Var(X) = 0 NORMAL POPULATION: X. i = 1,... are i.i.d. N(14, 09) random variables 1.) NORMAL POPULATION GENERAL POPULATION Give the form of the null and alternative hypotheses. 2.) "RIGHT" ALTERNATIVE: Hoi N.SH. vs. Hai H> Hb "LEFT" ALTERNATIVE: Ho: 112H VS. Her <H TWO-SIDED ALTERNATIVE: He: H = h Vs. He "RIGHT" ALTERNATIVE "LEFT" ALTERNATIVE OTWO-SIDED ALTERNATIVE 3.) Give the sample statistic and sampling distribution upon which this hypothesis test will be based. X-H-N(0,1) ONE In X-W -(0,1) TWO: to X--o THREE ONE THREE TWO

Answer 1

Soin: If x be delivery time in hours. Then, it is given that XnN(37,822 i.e. lo=37 and o2=84 Hence, Walzon want to test the hypothesis, Ho: mean delivery time is at least 37 hours delivery time is less than 37 hours Ho! Millo Hii u<llo Here random ssample of size G4, observations is used iie n= 64. Hl: mean OR Answer: Normal Population Answer: "LEFT" ALTERNATIVE: Hoi llito Vs Hall<llo Answer: TWO since the standard deviation is known, then test statistic Olin X-1 NC0, 1) Answer: EXACT ( Given that delivery time approximately normal) CS Scanned with CamScanner

Answer: P ( Rejest Holu=37) PE PC * 235/4:37) (22-2) X-37 8/164 35-37 8/164 PC Z Ľ-2) = 0.022+ Answer: Level of significance © PC Accept Holes = 34.) p( 8> 35 / 4= 31) = P(-34 > 35-34 81564 81564 V P(21) = 1- P(221) 1-0.84.13 0.1587 CS Scanned with CamScanner

Answer: probability of type I moror (: PC Accept Hol Ho false) = B 3) pl Accept Ma) 4 = 34.) = P(*7,37 =34) = PCX-34 37-34 > 81564 81164 |--p(223) p( z>3) = 1- 0.9956 = 0.0044 10 PC Accept Hol H, True) = 3 Answer: Probability of type II error CS Scanned with CamScanner