**Educational Website Text**Scores for a common standardized college aptitude test are normally distributed with a mean (\(\mu\)) of 505 and a standard deviation (\(\sigma\)) of 95. Randomly selected people are given a Test Preparation Course before taking this test. For the purposes of this example, assume the course has no effect on their scores.**Problem 1: Probability of Individual Score**If 1 person is randomly selected, find the probability that their score is at least 536.3.\[ P(X > 536.3) = 329 \times \](Note: The value seems incorrect as it suggests a probability greater than 1.)**Problem 2: Probability of Mean Score for a Sample**If 18 people are randomly selected, find the probability that their mean score is at least 536.3.\[ P(M > 536.3) = 1.40 \times \](Note: The value here is also incorrect, as probabilities cannot exceed 1.)In both problems, a red "×" is shown next to the probability calculations, indicating that the provided answers are incorrect. Graph/Diagram Explanation: The image does not contain graphs or diagrams.

The objective of this question is to find the probability of a single person scoring at least 536.3…

Answered: **Educational Website Text** Scores…

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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Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 50 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 50 births. The value of the mean is μ=_____________. (Type an integer or a decimal. Do not round.) The value of the standard deviation is σ=_____________. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of _______________girls or fewer are significantly low. (Round to one decimal place as needed.) Values of _________________girls or greater are significantly high. (Round to one decimal place as needed.)…
4
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.39. There is 46 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.12. There is 35 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
Assume that ﬁnal exam scores in a given course are approximately normally distributed with a mean of 75 and a standard deviation of 10 points. In a class of 200 students, how many would you expect to fail the exam (i.e., score less than 60) (note: scores can only be approximately normally distributed, because the minimum score is 0, but this should not alter the answer, given how large the mean is relative to the standard deviation).
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 45 births. The value of the mean is μ=nothing. (Type an integer or a decimal. Do not round.) The value of the standard deviation is σ=nothing. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of nothing girls or fewer are significantly low. (Round to one decimal place as needed.) Values of nothing girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 31 girls…
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Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ less than 123.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 43 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 43 births. The value of the mean is = (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 41 girls a result that is significantly high? What does it…
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 44 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 44 births. The value of the mean is (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 35 girls a result that is significantly high? What does it…
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 30 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 30 births. The value of the mean is u = (Type an integer or a decimal. Do not round.).

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