A population of values has a distribution with u =sample of size n175 and o :4.1. You intend to draw a random218.According to the Central Limit Theorem:(a) What is the mean of the distribution of sample means?(b) What is the standard deviation of the distribution of sample means?(Report answer accurate to 4 decimal place.)(c) In a random sample of n=218, what is the probability that its sample mean is more than 174.6?Round to three decimal places.(d) In a random sample of n3D218, what is the probability that its sample mean is less than 175.4?your answer to three decimal places.Give

We have given that. X~N( μ , ?^2 ) μ =175 , ? = 4.1 Z-score =( x - μ )/? Note:-According to…

Answered: A population of values has a…

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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The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in their name, from a sample of 342 people. x n 0 97 1 96 2 98 3 51 (a) Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places. (b) Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.
For random samples from an infinite population, whathappens to the standard error of the mean if the samplesize is(a) increased from 30 to 120;(b) increased from 80 to 180;(c) decreased from 450 to 50;(d) decreased from 250 to 40?
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?
Suppose that a recent poll found that 48% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 350 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that t moral values is poor. The mean of X is. (Round to the nearest whole number as needed.) The standard deviation of X is (Round to the nearest tenth as needed.) (b) Interpret the mean. Choose the correct answer below. O A. For every 350 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. O B. For every 350 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. O C. For every 350 adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is po O D. For every 168 adults, the mean is the maximum number of them that would be…
A variable of a population has a mean of μ=100 and a standard deviation of σ=35 a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation . b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration?A. No assumption was made.B. Normal distribution.C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not?A. Yes, the sampling distribution of the sample mean is always normal.B. No, the sampling distribution of the sample mean is never normal for sample size less than 30.C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
3. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
From a sample with n = 12, the mean number of televisions per household is 2 with a standard deviation of 1 television. Using Chebychev's Theorem, determine at least how many of the households have between 0 and 4 televisions. At least of the households have between 0 and 4 televisions. (Simplify your answer.)
A variable of a population has a mean of μ = 200 and a standard deviation of o = 28. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Uniform distribution. B. No assumption was made. C. Normal distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true. B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and standard deviation C. Yes, the sampling distribution of the sample mean is always normal.
Suppose the scores of students on an exam are normally distributed with a mean of 444 and a standard deviation of 65. Then approximately 68% of the exam scores lie between the integers _____ and ____ such that the mean is halfway between these two integers.
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 190000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 73 graduates.Find the probability that a single randomly selected policy has a mean value between 186207.9 and 187471.9 dollars.P(186207.9 < X < 187471.9) = (Enter your answers as numbers accurate to 4 decimal places.)Find the probability that a random sample of size n=73n=73 has a mean value between 186207.9 and 187471.9 dollars.P(186207.9 < M < 187471.9) = (Enter your answers as numbers accurate to 4 decimal places.)

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