3.The number of flaws per square yard in a type of carpet material varies, with mean 1.6flaws per square yard and standard deviation 1.2 flaws per square yard. The distribution isnot normal--in fact, it is discrete. An inspector studies 200 random square yards of thematerial, records the number of flaws found in each square yard, and calculates the meannumber of flaws per square yard inspected. Use the central limit theorem to find theapproximate probability that the mean number of flaws exceeds 2 per square yard.4.Suppose the grades in a finite mathematics class are Normally distributed with a mean of75 and a standard deviation of 5. What is the probability that the average grade for 50randomly selected students was at least 83?

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Answered: 3.The number of flaws per square yard…

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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Sketch the distribution, show the mean and standard error, and shade the part of the curve corresponding to your calculation. Suppose that at a large university, 34% of the students decide to take their classes online. 2. Now, if the researcher takes a different sample of 1000 students, what is the probability that at least 35% of the new sample will decide to take classes online?
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $234 with a standard deviation of $57. Random samples of size 26 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
Show the central limit theorem. Draw 30 observations from a uniform distribution with a minimum of 0 and a maximum of 1 and calculate the sample mean. Do this 1000 times and plot the distribution of the sample means. Does the distribution of sample means resemble a normal distribution?
An elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 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 152 lb is ☐ (Round to four decimal places as needed.)
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $229 with a standard deviation of $63. Random samples of size 24 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
Assume that women's heights are normally distributed with a mean 64.5 in, and a standard deviation of 2.3 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 65 in.(b) if 46 women are randomly selected, find the probability that they have a mean height less than 65 in.
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $227 with a standard deviation of $68. Random samples of size 21 are drawn from this population and the mean of each sample is determined.
5. The mean birth weight for babies born one month early is 2630 grams. Assume that the population has a standard deviation of 220 grams. Sketch the distribution of birth weights (in grams) of children born one month early. Calculate probability of a child born one month early with a birth weight between 2100 grams and 2900 grams. Find the weight which corresponds to the top 25% of birth weights for babies born one month early.
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution, Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $249 with a standard deviation of $57, Random samples of size 32 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 115.4 ft and a standard deviation of 8.2 ft. A tree of this type grows in my backyard, and it stands 103.9 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. My neighbor also has a tree of this type growing in her backyard, but hers stands 119.5 feet tall. Find the nrobability that the ful height of a randomly selected tree is at least as tall as hers. Enter your answers as decimals accurate to 4 decimal places.

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