Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 10. The lecturer is teaching two classes, one ofsize 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places.(a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normalrandom variable. Find the value of a.Answer:(b) The approximate probability that the average test score exceeds 65 in the class of size 36 is (3). Find the value of 3.Answer:(c) Which probability is larger?Select one:O None. They are equal.O That in the class of size 100.O That in the class of size 36.

The provided information is as follows:The mean of the normal distribution is .The standard…

Answered: Let us suppose that a particular…

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 females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69 beats per min The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean bet The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution fo OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution fo OC. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution fo O D. Since the original population has a normal distribution, the distribution of sample means is a norma
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A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, μ, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate μ. What is the minimum sample size needed in order for you to be 90% confident that your estimate is within 3 of μ? Use the value 23 for the population standard deviation of scores on this subsection. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
Researchers developed a "cat IQ test" and find that the population of cats in the United States has a mean score of u = 25 on this test with a standard deviation of g = 3. You decide to test a sample of n = 45 cats to do some research about whether some breeds are smarter. You collect your sample of n = 45 cats and find their mean cat IQ is M = 25.5. What is the probability of this sample? That is, what is p(M>25.5)?
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 518. What is the probability that a sample of 40 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Sub Continue
For any problem where you use a preprogrammed TI function, you must write down which function you use (complete name, not just something like "normal" because there are multiple normal functions), what values you enter (in order), and what the calculator produces. Round all probabilities to at least four decimal places. According to an article in the Journal of Anatomy (May, 2013), the ratio of the length of a person's femur to the length of their tibia averages 1.23. Suppose this ratio is approximately normal with a mean of 1.23 and a standard deviation of sigma C. What proportion of people have a ratio between c1 and c2? e1 f1 3.564 6.1875 sigma 0.031 b1 1.25 c1 1.2187 c2 1.266 d1 90 beta 4.95 f2 14.058 g1 25.7 g2 70.9 h1 33.47 h2 58.06
25. Each of a random sample of 30 student nurses who participated in a research project was given a test designed to measure the degree of creative thinking. The standard deviation of the scores was 11. Can one conclude from these data that the population variance is less than 400? Let α = 0. 05 and assume that the population is normally distributed. (A) Yes (B) No
c) If the probability that a person scores below a particular value is 0.7, then the probability a person scores above that value equals? d) If the probability that a person scores between a particular positive z value and the mean is 0.31, then the probability a person scores above that value equals?

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