The average running times of disks produced by Company X is 88.1 minutesand a standard deviation of 6.1 minutes, while those of Company Y have amean running times of 99.3 minutes with standard deviation of 13.6 minutes.Assume the populations are approximately normally distributed. What is theprobability that a random sample of 41 disks from Company Y will havemean running times that at most 15 minutes more than the mean running timesof a random sample of 32 disks from Company X ?

Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Answered: The average running times of disks…

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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Suppose that in the population of all healthy humans, body temperature follows a normal distribution with mean 98.2 and standard deviation of 0.5. Suppose a random sample of 20 healthy humans is taken. Which sample mean body temperature would be higher than 40% of all sample me and Body temperatures?
Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 10. What is the probability of selecting someone from the general population at random who would
The shelf life of a perishable product is a random variable that is related to customer acceptance and, ultimately, to sales and profit. Suppose the shelf life of a particular soft drink is best approximated by a normal distribution with a mean of 180 days and standard deviation 20 days. What fraction of the product will still be fresh after 5 months on the shelf?
The heart rate of 20 patients in the ICU have a mean of 95.3 beats per minute and a standard deviation of 19.6 beats per minute. Are heart rates from the ICU patients unusual given a normal heart rate has a mean of 72 beats per minute? What is the t-stastic?
Suppose the weight of watermelons produced in Adana follows the normal distribution with mean 7.2 kg and standard deviation 2.4. Find the proportion of these watermelons that weight heavier than 7.5kg. If we randomly select one of these watermelons, find the probability that its weight will be less than 7kg.
Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70 inches and a standard deviation of 0.75 inches. Suppose a random sample of 49 men is selected. Find the probability that the average height of these 49 men is less than 69.8 inches.
Suppose that the annual rainfall in Waco can be modeled with a Normal distribution with a mean of 35.9 inches and a variance of 8.41. a) In 1999, the amount of rainfall in Waco was 20.48 inches, What is the probability of observing an annual rainfall of than 20,48 inches in Waco? What is the probability of having at least one year out of n=10 with a total rainfall amount of more than 40 inches? What assumptions must be made to answer this question?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.5 years, and standard deviation of 1.8 years.If you randomly purchase one item, what is the probability it will last longer than 11 years? Use 4 decimal places.
Suppose that the fraction of defective modems shipped by a data-communications vendor has an approximation beta distribution with a=5 and b=21. find the mean and variance of the fraction of defective modems per shipment What is the probability that a randomly selected shipment will contain at least 30 % defectives? What is the probability that a randomly selected shipment will contain no more than 5 % defectives?
If a population forms a normal shaped distribution with µ =40 and σ = 8 and a sample of 16 scores from this population has a mean of 36, would this sample be relatively typical or extreme?
Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.

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