From a large consignment of clementine fruit destined for a UK supermarket the cus-toms office is making a check at the boarder. According to the sender the weight of thefruit belongs to an unknown distribution of mean 50 g and variance 16 g. If the cus-toms officer takes 100 fruits at random what is the probability that their total weightwill be more than 5040 g. Justify any assumptions you make in your calculations.

Answered: Image /qna-images/answer/c200f980-9572-4fd3-8ae4-3e3fff659652.jpg

Answered: From a large consignment of clementine…

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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Similar questions

The mean age of children at the X College daycare center is 6. The ages are skewed in a negative direction by a large number of 3 and 4 year old students. The variance of ages is 5.1. At least 66% of the children will be between what two ages?
(please solve within 15 minutes I will give thumbs up thanks)
Suppose a batch of steel rods produced at a steel plant have a mean length of 187 milimeters, and a Variance of 64. If 416 rods are sampled at random from the batch, what is the probability that the mean length all the sample rods would differ from the population mean by less than 0.65 millimeters? Round your answer to four decimal places.
The cost of 5 gallons of ice cream has a variance of 36 with a mean of 35 dollars during the summer. What is the probability that the sample mean would be less than 33.8 dollars if a sample of 96 5-gallon pails is randomly selected? Round your answer to four decimal places.
Suppose babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625. If 113 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be greater than 3631 grams? Round your answer to four decimal places.
One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 6724 with a mean life of 645 minutes. If the claim is true, in a sample of 152 batteries, what is the probability that the mean battery life would differ from the population mean by more than 88 minutes? Round your answer to four decimal places.
Mensa requies a test score to be in the top 2%. The test has a mean of 100 and Std. Dev. of 15.and scores are normally distributed. If 4 subjects take the test and they have a mean of 132 but the individual scores are lost, can we conclude that all 4 of them are eligible for Mensa?
Suppose a sample of n = 160 observations has a mean of 13.6 and a variance of 6.8. If each value in the sample is multiplied by 4 and then 20 is added, what would be the variance of the new sample values?
Suppose the variance of X is 14. What is the variance of .47X?
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for more than 312 minutes. For a sample of 69 patients, the mean time the drug stayed in the system was 319 minutes. Assume the variance is known to be 400. Step 2 of 5 : Enter the value of the z test statistic. Round your answer to two decimal places.
Roy and Jennie are looking for a company to help plan their wedding. Company A charges an amount based on the cost function, C=Vn+F, where C is the total cost, V is the variable cost, F is the fixed cost, and n is the number of people who attend the wedding. Suppose n is a random variable with a mean of 47 and a standard deviation of 8. Also V=40 and F=2500. (Round your answers to the nearest dollar.) (a) What is the mean for the total cost? (b) What is the standard deviation for the total cost?

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