Suppose that all possible random samples, each of size n, are taken from a defined population with a mean u and standard deviation o, which of the following is correct? Select one: a. The standard error of the sample average is equal to the population standard deviation divided by the sample size. b. The distribution of sample averages is normal (approximately, if n>30) - no matter what is the distribution of the population c. None of the answers d. The average of all possible sample means is not the same as the population average

Suppose that all possible random samples, each of size n, are taken from a defined population with a mean u and standard deviation o, which of the following is correct? Select one: a. The standard error of the sample average is equal to the population standard deviation divided by the sample size. b. The distribution of sample averages is normal (approximately, if n>30) - no matter what is the distribution of the population c. None of the answers d. The average of all possible sample means is not the same as the population average

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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Which of the following is NOT a requirement of testing a claim about the mean of the differences from dependent samples? Choose the correct answer below. O A. The degrees of freedom aren- 2. O B. The samples are simple random samples. O C. The sample data are dependent. O D. Either the number of pairs of sample data is larger than 30 or the pairs have differences that are from a population having a distribution that is approximately normal, or both.
Copy each table to the Word document and highlight theappropriate p-value. Under each table type the hypotheses, decision and summary, using the resultsfrom Excel, again you should not be doing the calculations by hand! A random sample of 16 students selected from the student body of a large university was selected. We wantto determine if the average age of all the students at the university is significantly different from 24. Assumethe distribution of the population of ages is normal. t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 22.8125 0 Variance 10.5625 0 Observations 16 16 Pearson Correlation #DIV/0! Hypothesized Mean Difference 24 df 15 t Stat -1.461538462 P(T<=t) one-tail 0.082249947 t Critical one-tail 1.753050356 P(T<=t) two-tail 0.164499893 t Critical two-tail 2.131449546 I am struggling with the explanation. How would I write this out? Thanks!
A population of N = 5 scores has a mean of u = 20 and a standard deviation of o = 4. Which of the following is the correct Interpretation of the standard deviation? O The average distance of scores from the mean of p- 20 is 5 points. O The average distance of scores from the mean of u = 20 is 1 point. The average distance of scores from the mean of u = 20 is 4 points. O The average squared distance of scores from the mean of u = 20 is 4 points.
The standard deviation of a population A. Is the average of the squared deviations between each of the data points and the mean B. Is the average distance from each of the data points to the population's mean C. Is impossible to calculate D. Is only for statisticians E. All of the above F. None of the above
A variable of a population has a mean of u 200 and a standard deviation of o = 42. 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. 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. 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. O B. Yes, the sampling distribution of the sample mean is always normal. and standard deviation C. No, the sampling distribution of the sample mean is never normal for sample size less than 30.
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I answered A,B AND C. I NEED HELP TO SOLVE PROBLEM NUMBER D,E AND F ONLY
Which of the following are true? There is more than one correct answer.
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A variable of a population has a mean of μ=100 and a standard deviation of σ=42 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. Normal distribution.B. No assumption was made.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. No, the sampling distribution of the sample mean is never normal for sample size less than 30.B. 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.C. Yes, the sampling distribution of the sample mean is always normal.
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.
Suppose a population with a mean of 100 and a variance of 900 was given. The central limit theorem was applied with a sample size ?? ≥ 25. A random sample of size ?? = 30 wasobtained. Find the: i. mean and variance of sampling distribution for sample means. ii. probability that 96 ≤ ??̅≤ 110. iii. probability that ??̅≤ 107.