MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Consider a sampling distribution with p=0.12. Using the appropriate formulas, find the
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- Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a random sample of 65 unemployed individuals for a follow-up study. Use z-table. a. Show the sampling distribution of 2, the sample mean average for a sample of 65 unemployed individuals. E(2) d 18.5 (to 1 decimal) (to 4 decimals)arrow_forwardUse the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.90 years and a standard deviation of 1.80 years. Random samples of size 20 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. Answer choices: A.) 5.90 years , 0.40 years b) 5.90 years , 0.09 years c.) 1.32 years , 1.80 years d) 1.32 years , 0.40 yearsarrow_forwardThe local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these loaves varies. The mean weight is 0.9 lb. and 1 oz., or 437 grams. Assume the standard deviation of the weights is 21 grams and a sample of 45 loaves is to be randomly selected. (a) This sample of 45 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. O skewed right approximately normal skewed left O chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) grams (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) (d) What is the probability that this sample mean will be between 429 and 445? (Give your answer correct to four decimal places.) (e) What is the probability that the sample mean will have a value less than 433? (Give your answer correct to four decimal places.) (f) What is the probability that the sample mean…arrow_forward
- An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population. Find P (∑X > 7,650).arrow_forwardSuppose heights, in inches, of male orangutans have an unknown distribution with mean 60 and standard deviation 3 inches. A sample of size n = 49 is randomly taken from the population and the mean is taken. Using the Central Limit Theorem for Means, what is the sample mean distribution?arrow_forwardSuppose a random sample of n measurements is selected with probability of success p = . 35. Given n = 200, describe the shape, and find the mean and the standard deviation of the sampling distribution of the sample proportion.arrow_forward
- For a particular brand of TV picture tube, it is known that the mean operating life of the tubes is µ = 9,000 hr with a standard deviation of σ = 500 hr. Determine the standard error of the sampling distribution of the mean given a sample size of n =25.arrow_forwardThe weights of people in a certain population are normally distributed with a mean of 159 lb and a standard deviation of 23lb. Find the mean and standard error of the mean for this sampling distribution when using random samples of size 7. 159, 3.29 159, 7 159, 23 159, 8.69arrow_forwardThe distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and standard deviation 0.7 sibling. A random sample of 100 students from the high school will be selected, and the mean number of siblings in the sample will be calculated. Which of the following describes the sampling distribution of the sample mean for samples of size 100 ? Skewed to the right with standard deviation 0.7 sibling A Skewed to the right with standard deviation less than 0.7 sibling B Skewed to the right with standard deviation greater than 0.7 sibling C Approximately normal with standard deviation 0.7 sibling D Approximately normal with standard deviation less than 0.7 sibling E Chose A, B, C, D, or Earrow_forward
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