Question 10.0067 is wrongIPOST OFFICEAccording to a USPS study, the weight of a randomly selected shipment box has unknown distribution with amean of 22.7 lbs and a standard deviation of 4.5 lbs. Let X be the weight of a randomly selected shipmentbox and let S be the total weight of a random sample of size 9.1. Describe the probability distribution of X and state its parameters μ and o:X~ unknown(μ = 22.7 ✓,and find the probability that the weight of a randomly selected shipment box is between 12 and 13 lbs.0.0067 x (Round the answer to 4 decimal places)2. Explain why the Central Limit Theorem cannot be used4.5 ✓the sample size is small (n<30) and the distribution of the original population is unknown

The random variable X denotes the weight of a shipment box which has a unknown distribution with…

Answered: According to a USPS study, the weight…

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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According to a study, the time between taking a pain reliever and getting relief for a randomly selected patient has unknown distribution with a mean of 48 minutes and a standard deviation of 5.8 minutes. Let X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X be the average time between taking a pain reliever and getting relief for a random sample of size 43. 1. Describe the probability distribution of X and state its parameters u and o: X- Select an answer and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is more than 53 minutes. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of X and state its parameters uz and oy: (Round the answers to 1 decimal place) X - Select an answer v (µx ,ox = and find the probability that the average time between taking a pain reliever and getting…
The sticker on Nestle's crunch bar reads 25 grams. Suppose that the probability distribution of the weight of a crunch bar is known to follow a normal distribution with variance of 2.5 and mean 26 grams. Assume that the weight of one crunch bar that is randomly chosen from Boxer shop is given by Y. a) Calculate the probability that the weight of a crunch bar selected from the shelf at Boxer will exceed 30 grams. b) Calculate the proportion of crunch bars on the shelf whose weight will either exceed 40 grams or will not exceed 26 grams. c) If 12 crunch bars are randomly selected from the shelf at Boxer, calculate the probability that the total weight of the selected crunch bars will not exceed 336 grams. d) If 5 crunch bars are randomly selected independently from the shelf at Boxer. Suppose the number of crunch bars with a weight not exceeding 24 grams is given by X. Calculate P(X < 3).
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
An elevator has a placard stating that the maximum capacity is 4200 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4200/28 = 150 pounds. Assume that weights of males are normally distributed with a mean of 182 lb and a standard deviation of 40 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 150 lb. b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 150 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 150 lb is (Round to four decimal places as needed.)
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The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
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