1.)Scores for a common standardized college aptitude test are normally distributed with a mean of 492 and a standard deviation of 97. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect.If 1 of the men is randomly selected, find the probability that his score is at least 550.7. P(X > 550.7) = Round to 4 decimal places.If 7 of the men are randomly selected, find the probability that their mean score is at least 550.7. P(¯¯¯XX¯ > 550.7) = Round to 4 decimal places.If the random sample of 7 men does result in a mean score of 550.7, is there strong evidence to support the claim that the course is actually effective? No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 550.7.Yes. The probability indicates that is is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 550.7.2.)A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 171 lb and a standard deviation or 26 lb.You need to design an elevator that will safely carry 12 people. Assuming a worst case scenario of 12 male passengers, find the maximum total allowable weight if we want a 0.999 probability that this maximum will not be exceeded when 12 males are randomly selected.maximum weight = ? -lb Round to the nearest pound.

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Description: 1.)Scores for a common standardized college aptitude test are normally distributed with a mean of 492 and a standard deviation of 97. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that

Hello there! there are more than one question. According to our policies we cannot answer more than one question. So please find the solution for 1st question. If you have doubts in remaining question kindly make a new request, mentioning the question in which you need help. Mean = 492 Standard deviation = 97 If 1 of the men is randomly selected, probability that his score is at least 550.7. is given by P(X>550.7)=1-P(z<550.7-49297)=1-P(z<0.61)=1-0.7291=0.2709P(X¯>550.7)=1-Pz<550.7-492977=1-P(z<1.60)=1-0.9452=0.0548

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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1.)Scores for a common standardized college aptitude test are normally distributed with a mean of 492 and a standard deviation of 97. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect.

If 1 of the men is randomly selected, find the probability that his score is at least 550.7.
P(X > 550.7) = Round to 4 decimal places.

If 7 of the men are randomly selected, find the probability that their mean score is at least 550.7.
P(¯¯¯XX¯ > 550.7) = Round to 4 decimal places.

If the random sample of 7 men does result in a mean score of 550.7, is there strong evidence to support the claim that the course is actually effective?

No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 550.7.
Yes. The probability indicates that is is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 550.7.

2.)A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 171 lb and a standard deviation or 26 lb.

You need to design an elevator that will safely carry 12 people. Assuming a worst case scenario of 12 male passengers, find the maximum total allowable weight if we want a 0.999 probability that this maximum will not be exceeded when 12 males are randomly selected.

maximum weight = ? -lb Round to the nearest pound.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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