159.9 and o =A population of values has a normal distribution with u =random sample of size n =79.5. You intend to draw a182. Please show your answers as numbers accurate to 4 decimal places.Find the probability that a single randomly selected value is between 151.1 and 171.1.P(151.1 < X < 171.1) =182 is randomly selected with a mean between 151.1 andFind the probability that a sample of size n =171.1.P(151.1 < I < 171.1) =

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Answered: A population of values has a normal…

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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Let x be a random variable representing the SAT math score of student. We may assume that x has a normal distribution and that the population standard deviation is 25. A large university claims the average SAT math score for incoming freshman is 650. You suspect that this claim is too high and decide to test the claim. You select a random sample of 75 incoming freshman and find the sample mean SAT math score to be 645. If you assume that the population mean is 650, find the P-value corresponding to the hypothesis that the average SAT score is less than 650 (i.e. left-tail test). A. 0.037 B. 0.061 C. 0.042 D. 0.053
A population of values has a normal distribution with μ=200.6μ=200.6 and σ=20.8σ=20.8. You intend to draw a random sample of size n=236n=236.Find P17, which is the mean separating the bottom 17% means from the top 83% means.The mean = (Use 1 decimal place)
A population of values has a normal distribution with = 144.5 and = 85.5. You intend to draw a random sample of size n = 198. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is between 133.6 and 146.3. P(133.6 < X < 146.3) = Find the probability that a sample of size n = 198 is randomly selected with a mean between 133.6 and 146.3. P(133.6 << 146.3) =
An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 5 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=15 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
A population of values has a normal distribution with μ=248.6�=248.6 and σ=97.6�=97.6. You intend to draw a random sample of size n=246�=246.Find P29, which is the mean separating the bottom 29% means from the top 71% means.P29 (for sample means) =
Q2: a survey is performed to investigate the relationship between smoking and coffee drinking. The distribution of the sample is presented in the following table Coffee No Coffee Total 40 Smoker Non-Smoker Total 60 115 85 What is the probability that a randomly selected person from the sample is a non-smoker? b. What is the probability that a randomly selected person from the sample is a non-smokes and a. drinks coffee? C. What is the probability that a randomly selected person from the sample either smokes or drinks coffee? d. What is the probability that a randomly selected person from the sample is smokes given that he drinks coffee? e. Are the two events "smoke" and "drinks coffee" independent? Why?
A population of values has a normal distribution with μ=89.6 and σ=35.2. You intend to draw a random sample of size n=32.Find P95, which is the mean separating the bottom 95% means from the top 5% means.The mean =
a normal distribution has a mean of u=60 with o=15. if one score is randomly selected from the distribution, what is the probability that the score will be greater than x=35
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 4 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Assume that a high school principal believes that high number of absences hinders the students' ability to perform on standardized tests. He randomly selects a sample of 9 students who had 5 or more absences in the school year. The average ACT Composite score for this sample is X = 19 with s = 4.9. ACT Composite scores are normally distributed with u = 21.0. Do the data support the claim that the high number of absences hinders the students' ability to perform on standardized tests, using a = .05? Please show the four-step hypothesis test. %3D
The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 5.95 ounces and a standard deviation of 0.2 ounces. Suppose that you draw a random sample of 42 cans. Parti) Suppose the number of cans drawn is doubled. How will the standard deviation sample mean weight change? A. It will decrease by a factor of √2. B. It will increase by a factor of √2. C. It will increase by a factor of 2. D. It will decrease by a factor of 2. E. It will remain unchanged. Part ii) Suppose the number of cans drawn is doubled. How will the mean of the sample mean weight change? ▸ A. It will increase by a factor of √2. B. It will decrease by a factor of 2. C. It will increase by a factor of 2. D. It will decrease by a factor of √2. E. It will remain unchanged. Part iii) Consider the statement: The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal." A. It…

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