b. A company makes parts for a machine. The lengths of the parts must be within certain limits or they willbe rejected. A large number of parts were measured and the mean and standard deviation werecalculated as 3.1 and 0.005 m respectively. Assuming this data is normally distributed and 99.7 %were accepted, what are the limits ?

Answered: Image /qna-images/answer/17d9fef2-62ab-4600-b798-19371217bd9e.jpg

Answered: b. A company makes parts for a machine.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 180 lb and a standard deviation of 36 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3500 lb, 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 140 lb. (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.)
The weights of certain machine components are normally distributed with a mean of 7.757.75 ounces and a standard deviation of 0.070.07 ounces. Find the two weights that separate the top 4%4% and the bottom 4%4%. These weights could serve as limits used to identify which components should be rejected. Round your answer to the nearest hundredth, if necessary.
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 60 miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding 80 miles/hour. The records show that exactly 5% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Suppose an interval estimate for the population mean was 62.84 to 69.46. The population standard deviation was assumed to be 6.50, and a sample of 100 observations was used. The mean of the sample was:
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 61 miles tickets for cars with speeds exceeding 80 The records show that exactly 1% of the speeds exceed this limit. Find the standard deviation of the speeds of hour cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. miles hour X miles hour 5 . The highway patrol's policy is to issue
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500lb. Complete parts (a) through (d) below. A. Given that the gondola is rated for a load limit of 3500lb, 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______ 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____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 186 lb, which is the maximum mean weight that does not cause the total load to exceed 3500lb? The…
Suppose baby kittens' weights are normally distributed with a mean of 11.4 and a standard deviation of 2.1. The Z-score tells you how many units above the average (if Z-score is positive) or below the average (if Z- Score is negative) any particular baby kitten's weight is. Find the baby kitten weight that corresponds to the following Z-scores. Use the formula Z where u is the mean, o is the standard deviation, and X is the baby kitten weight. a. Z = = 0.07, X = b. Z = 1.63, X =
2. The table below shows the recorded speeds of several cars on a busy street: Recorded Speeds (mph) 35 38 41 35 36 55 a) Calculate the mean absolute deviation both with and without the data value of 55. Round to the nearest hundredth if necessary.

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