The weights of bags of frozen vegetables packaged at a factory are normally distributed with a mean weight of 3.43 lbs anda standard deviation of 1.41 lbs. For quality control purposes, a random sample of 14 bags is chosen once per day, andweighed. Let X be the random variable representing the mean weight of the bags.a. Fill in the blank, rounding your answers to 2 decimal places if needed. According to the Central Limit Theorem, X isapproximately normal with a mean oflbs and a standard error of the meanlbs.b. Find the z-score associated to a sample with a mean of 3.88 lbs, using the sampling distribution. Round your answer totwo decimal places.c. Find the probability that a randomly selected sample of 14 bags has a mean weight higher than 3.88 lbs. Round youranswer to 4 decimal places.d. Find the probability that a randomly selected individual bag has a weight higher than 3.88 lbs. Round your answer to 4decimal places.e. The machine that fills the bag will be pulled for inspection and repairs if the sample mean of the quality control sample isin the bottom 3% or top 3% of possible sample means. What sample average weights will trigger a repair? Round youranswers to 2 decimal places.The machine will be pulled for repairs if the quality control sample has a mean weight belowlbs.lbs or above

It is given that; x follows normal distribution with mean µx = 3.43 cm and the standard deviation of…

Answered: weights of bags of frozen vegetables…

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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Jumbo shrimp are defined as those that require 10 to 15 shrimp to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages μ = 12.5 with a standard deviation of σ = 1.5 and forms a normal distribution. Using the Distributions tool, find the probability of randomly picking a sample of n = 25 1-pound bags that average more than M = 13 shrimp per bag. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 012z.5000.50000.000 The probability of randomly picking a sample of n = 25 1-pound bags that average more than M = 13 shrimp per bag is p
Given a normal distribution with mean 100 and standard deviation 10, find the area under the normal curve from the mean to 112.9.
The height of an 8th grader is modeled using the normal distribution shown below. The mean of the distribution is 59.1 in and the standard deviation is 1.2 in. In the figure, Vis a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) V 56 58 60 62 Height (in inches)
A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) OA. Ho Hd #0 HA Hd=0 OC. Ho Hd ≤0 HA Hd >0 Calculate the standardized test statistic t= (Round to three decimal places as needed.) Calculate the P-value P-value= (Round to four decimal places as needed) State the conclusion. 1 205 204 Ho. There C 2 225 222 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be…
The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 41.8 cm and the standard deviation is 5.3 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, Uand W are numbers along the axis that are each the same distance away from Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) 30 35 40 45 50 55 60 ( cm)
Find the inflection points of a normal random variable with mean of u (Mu) and a standard deviation of sigma
Assume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?
The lengths of nails manufactured at a factory are normally distributed with a mean length of 4.43 cm and a standard deviation of 1.41 cm. For quality control purposes, a random sample of 14 nails is chosen once per day, and measured. Let X be the random variable representing the mean length of the nails. A. Fill in the blank, rounding your answers to 2 decimal places if needed. According to the Central Limit Theorem, X is approximately normal with a mean of _______cm and a standard error of the mean________cmb. Find the z-score associated to a sample with a mean of 4.56 cm, using the sampling distribution. Round your answer to two decimal places. ______c. Find the probability that a randomly selected sample of 14 nails has a mean length higher than 4.56 cm. Round your answer to 4 decimal places.________

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