The mean of a population is 76 and the standard deviation is 12. The shape of the population is unknown. Determine the probabilityof each of the following occurring from this population.Appendix A Statistical Tablesa. A random sample of size 33 yielding a sample mean of 79 or moreb. A random sample of size 140 yielding a sample mean of between 74 and 78c. A random sample of size 218 yielding a sample mean of less than 76.7(Round all the values of z to 2 decimal places, e.g. 15.25 and final answers to 4 decimal places, e.g. 0.2513.)а.b.С.

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Answered: The mean of a population is 76 and the…

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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A population has a mean 75 and standard deviation 12. a. A random sample of 125 are taken. Find the mean and the standard deviation of the sample mean. b. How would the answer to part (a) change if the size of the sample were 500 instead of 125?
please answer b and e
The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 62. Round to four decimal places. O A. 0.1293 B. 0.3707 O C. 0.4772 O D. 0.0228
16
he population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=65, find the probability of a sample mean being greater than 217 if μ=216 and σ=3.5. For a sample of n=65, the probability of a sample mean being greater than 217 if μ=216 and σ=3.5 is nothing. (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean ▼ would not would be considered unusual because it ▼ does not lie lies within the range of a usual event, namely within ▼ 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.
I have provided the answer. Please explain the answer.I
The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample of n 38, find the probability of a sample mean being less than 12,750 or greater than 12,753 when u = 12,750 and o = 1.8. For the given sample, the probability of a sample mean being less than 12,750 or greater than 12,753 is. (Round to four decimal places as needed.) Would the given sample mean be considered unusual? O A. The sample mean would not be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range. O B. The sample mean would be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range. OC. The sample mean would not be considered unusual because there is a probability less than 0.05 of the sample mean being within this range. O…
The plasticity of a polyethylene is affected by the concentration of a solution. When low concentration of the solution is used, the true mean plasticity is 55. And when high concentration is used, the mean plasticity is 62. The standard deviation of plasticity is 4 regardless of concentration of the solution. If two random samples of size 18 are taken, find the probability that Xhigh – X low 2 5. Include your solutions. O a. Probability is about 98% O b. Probability is about 7% O. NONE O d. Probability is about 93%
(Items 24 – 50) show your solutions clearly and legibly the space provided. A. The average cost per household of owning a brand new car is 5,000. Suppose that we randomly selected 40 households. Determine the probability that the sample mean for these 40 households is more than 5,350? Assume the variable is normally distributed and the standard deviation is 1,230. B. Given population 15, 12, 6, 9, and 17. Suppose samples of size 3 are drawn from this population. Complete the table and draw the sketch of histogram. Describe the distribution. Possible Samples Sample Means Mean Frequency P()
Part d, e and f please
Suppose a random sample of size is selected from a population that is normally distributed with a mean of 7.3 and a standard deviation of 0.82. Give the mean and the standard deviation of the sampling distribution of the sample mean. A. 8.9; 0.29 B. 7.3; 0.29 C. 7.3, 0.82 D. 8.9, 0.82
Which of the following is the best statement of the Law of Large Numbers? If the parent population (from which the data are drawn) is normally distributed, then the sample mean, , will follow a normal distribution. For bell-shaped data, approximately 68% of the data will be within one standard deviation of the mean, about 95% of the data will be within two standard deviations of the mean, and approximately 99.7% of the data will be within three standard deviations of the mean. If the sample size is large, the sample mean will be close to the population mean µ If the sample size is large, the shape of the sampling distribution of the sample mean will be approximately normal.

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