Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 17. 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 That in the class of size 100.O That in the class of size 36.None. They are equal.

let random variable denoted by the average test score of two classes size n1=100 andn2= 36. and…

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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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 of size 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 normal random 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.
4. Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is ? The standard deviation is ? The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) = ? The probability that a newborn fawn will be weigh between 2.8 and 3.8 is P(2.8 < x < 3.8) = ? The probability that a newborn fawn will be weigh more than 3.02 is P(x > 3.02) = ? P(x > 2.5 | x < 3.4) = ? Find the 79th percentile?
pls solve parts d and e
Suppose that we know that scores on a nationally administered statistics examination have a population mean u = 70 and population standard deviation o= 10. Answer each of the following A random sample of 64 mdividuals is taken What is the probability that the sample mean is below 697 A random sample of 100 individuals is taken What is the probability that the sample mean is below 69? A random sample of 400 individuals is taken What is the probability that the sample mean is below 69?
I need the answer as soon as possible
Please solve (a) & (b) only! Thanks.
Q1) 14% of the adults in a certain population are infected by a Corona Virus. Five adults are selected randomly from this population for diagnoses. Find the probability that at least two of them will be infected by .this Virus 1 .Q2) Suppose that f(X)=X,12). a) Find .b) Find the mean Q3) A study shows that the systolic blood pressures for adults in a certain population are approximately normally distributed with mean of 115 and .standard deviation of 10 a) Find the probability that a randomly selected person will have a blood -pressure between 109 and 124 Sel).b) Find the reading that is exceeded by only 5% of the population التي يتجاوزها 5% من المجتمع(
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).
A student was analyzing a data set that was Normally distributed with a mean of . She calculated the z-score of a score z in the data set and looked up this value on a z-table (the same z-tables we have been using in class). The table gave a value of 0.4918 in this instance. Which of the following statements is true. O Any score in this data set has a 49.18% chance of being between 2 and z. O The score has a probability of 49.18. O The standard deviation of this data set is 0.4918 O The score x is 0.4918 standard deviations away from the mean.
11.
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
Suppose that the weights of people who work in an office building are normally distributed with a mean of u = 165 Ib. and a standard deviation of o = 25 lb. What is the chance that the total weight of 5 people is more than 1000 Ibs., i.e., what is P(X1+ ... + X5 > 1000)? [Hint: try to express this as an X-style problem.

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