MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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When using the central limit theorem for
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- The third worksheet labeled sample B is a simple random sample with replacement, with seven observations in the sample, from some population. The index i in the first column is just an integer name for each observation. The specific values x in the second column are measures of a random variable X distributed in the population. Now suppose this random variable X is known to have a Normal distribution in the sampled population. You still do not know the population mean and must estimate it from the sample, as you did earlier. BUT NOW, in this question, you know that the population standard deviation of the random variable X is 4. Compute the upper bound of an 80% confidence interval for the population mean, using the appropriate sample estimate and techniques appropriate to the new knowledge situation described above. i xi 1 74.2 2 72.79 3 70.35 4 74.37 5 73.34 6 78.96 7 77.99arrow_forwardThe Central Limit Theorem (CLT) requires a sample be randomly collected. This is to... Reduce bias and reduce accuracy. Reduce standard error and reduce precision Reduce the standard error and increase precision. Reduce bias and increase accuracyarrow_forwardWhen using the central limit theorem for means with n = 98, it is not necessary to assume the distribution of the population data is normally distributed. True Falsearrow_forward
- The third worksheet labeled sample B is a simple random sample with replacement, with seven observations in the sample, from some population. The index i in the first column is just an integer name for each observation. The specific values x in the second column are measures of a random variable X distributed in the population. Now suppose this random variable X is known to have a Normal distribution in the sampled population. You still do not know the population mean and must estimate it from the sample, as you did earlier. BUT NOW, in this question, you know in advance that the true population standard deviation of the random variable X is 4. Compute the standard error (of the sample mean), given this new knowledge situation. i xi 1 74.2 2 72.79 3 70.35 4 74.37 5 73.34 6 78.96 7 77.99arrow_forwardNeed only handwritten solution only (not typed one).arrow_forwardWhen using the central limit theorem for means with n = 60, it is not necessary to assume the distribution of the population data is normally distributed. True Falsearrow_forward
- What does the Central Limit Theorem tell about the sample mean? If the sample size is large, the distribution of all individual observations should be normally distributed. If your sample size is large, the distribution of the sample mean should be normally distributed with the population mean as its center. The distribution of the sample mean is always perfectly normally distributed. O If your sample size is large, the distribution of the population mean should be normally distributed with the population mean as its center.arrow_forwardSuppose a sample of size n is drawn from a population where the population standard deviation is known. In order to use the Central Limit Theorem, we would have to know that A n > 30 B The population is normally distributed. C n > 30 OR the population is normally distributed D n > 30 AND the population is normally distributedarrow_forwardUse the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 113 pounds and a standard deviation of 37.7 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined.arrow_forward
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