Why does the standard error of the mean decrease as the sample size, n, increases?
definition of standard error is :
so if the sample size (n) increases it will reduce the ERROR
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Why does the standard error of the mean decrease as the sample size, n, increases?
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about if the sample size, n, is 35. Lower bound: :Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample size,...
As sample size increases, the standart error of mean. a. also increases b. decreases c. stay constant
47. What happens to the mean and standard deviation of the distribution of sample means as the size of the sample decreases? A) The mean of the sample means stays constant and the standard error decreases. B) The mean of the sample means increases and the standard error stays. C) The mean of the sample means decreases and the standard error increases. D) The mean of the sample means stays constant and the standard error increases. 48. Find the critical value ze that corresponds to...
A simple random sample of size n is drawn. The sample mean, , is found to be 19.2, and the sample standard deviation, s, is found to be 4.6. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: I; Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if...
A simple random sample of size n is drawn. The sample mean, X, is found to be 17.9, and the sample standard deviation, s, is found to be 4.8. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about us if the sample size, n, is 34. Lower bound: upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample...
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. OC. The margin of error decreases. (c) Construct a 99% confidence interval about if the sample size, n, is 35. Lower bound: 17.14; Upper bound: 21.66 (Use ascending order. Round to two decimal places as needed.) Compare the results...
A simple random sample of size n is drawn. The sample mean,x overbarx, is found to be 17.8 and the sample standard deviation, s, is found to be 4.4 (a) Construct a 95% confidence interval about μ if the sample size, n, is 35 Lower bound: ____ Upper bound: ______ (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about μ if the sample size, n, is 51 Lower bound: ____ Upper bound:...
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.2, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution (a) Construct a 95% confidence interval about ju if the sample size, n, is 34. Lower bound: upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the...
11. A simple random sample of size n is drawn. The sample mean, X, is found to be 17.9, and the sample standard deviation, s, is found to be 4.5. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about if the sample size, n, is 34. Lower bound: : Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the...
o be 4.5. A simple random sample of size n is drawn. The sample mean, X, is found to be 17.9, and the sample standard deviation, s, is found Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about H if the sample size, n, is 35. Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample...