11. A film processing service monitors the quality of the developing process withlight-sensitive equipment. The accuracy measure is a number with a target value ofzero. Suppose that an X chart with subgroups of size five is used to monitor theprocess and the control limits are UCL = 1.5 and LCL = -1.5. Assume thatthe estimate for the process mean is zero and for the process standard deviationis 1.30.a. What is the value of a for this control chart?b. Find the UCL and LCL based on three-sigma limits.c. Suppose that the process mean shifts to 1. What is the probability that the shiftis detected on the first subgroup after the shift occurs?

Given: When the quality of developing process with light sensitive equipment is monitored by a film…

Answered: 11. A film processing service monitors…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 41 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit 3750 . Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 Ib, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum mean c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola…
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