5. Buoyancy aids in water sports are tested by adding increasing weights until they sink. A clubhas two sets of buoyancy aids. One set is two years old, and should support weightsaccording to a normal distribution with mean 6 kg and standard deviation 0.6 kg; theother set is five years old and should support weights averaging 4.0 kg with a standarddeviation of 1.0 kg. All the aids are tested and any which are unable to support at least 5kg are thrown out If there are 24 two-year-old aids, how many are still usable?(A) 11(B) 9(C) 18(D) 20

From given data we have : μ=6σ=0.6

Answered: Buoyancy aids in water sports are…

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 In a country the height of people is normally distributed with mean u = 172 cm and standard deviation o = 25 cm. An airplane manufacturer in this country would like to build their planes' doors such that at most 10% of people will have to duck their head to enter the planes. What should the height of their airplanes' doors be?
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 183lb and a standard deviation of 40lb. 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 particular fruit's weights are normally distributed, with a mean of 382 grams and a standard deviation of 15 grams.The heaviest 14% of fruits weigh more than how many grams?Give your answer to the nearest gram.
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for two types of treated fabrics: Permafresh 12 13 15 11 10 16 14 Hylite 14 19 20 16 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 98% confidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]
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"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for two types of treated fabrics: Permafresh Hylite 15 17 12 14 13 16 16 15 14 18 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 98% confidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]
A fruit grower wants to test a new spray that a manufacturer claims will reduce the loss due to insect damage. She sprays 20 trees with the new spray and 20 trees with the standard spray. The following data were recorded: New Spray Standard Spray Mean yield per tree(lb) 240 227 Standard deviation 31.3 28.6 Do the data provide evidence that the new spray increases the yield per tree?
A particular fruit's weights are normally distributed, with a mean of 465 grams and a standard deviation of 15 grams. The heaviest 17% of fruits weigh more than how many grams? Give your answer to the nearest gram.

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