After a million measurements of thing x, we find a sample mean of 60.29 and standard...

After a million measurements of thing x, we find a sample mean of 60.29 and standard deviation of 1.46. What chance, in percent (0-100) does the next measurement have of being outside 3 standard deviations from the mean? Do not include the percent sign.

After a million measurements of thing x, we find a sample mean of 50.25 and standard deviation of 1.92. What chance, in percent (0-100) does the next measurement have of being outside 2 standard deviations from the mean? Do not include the percent sign.

Expert Solution

milcah answered 1 year ago

Suppose X is a normal with zero mean and standard deviation of $10 million. a) Find...

Suppose X is a normal with zero mean and standard deviation of $10 million. a) Find the value at risk for X for the risk tolerances h=0.01, 0.02, 0.05, 0.10, 0.50, 0.60, and 0.95. b) Is there a relation between VaR for values of h <= 0.50 and values for h>= 0.50?

The mean and standard deviation of a random sample of n measurements are equal to 33.2...

The mean and standard deviation of a random sample of n measurements are equal to 33.2 and 3.6?, respectively. a. Find a 90?% confidence interval for mu if nequals81. b. Find a 90?% confidence interval for mu if nequals324. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient? fixed?

The mean and standard deviation of a random sample of n measurements are equal to 33.6...

The mean and standard deviation of a random sample of n measurements are equal to 33.6 and 3.5, respectively. A) The 99% confidence interval for π if n = 49 is approximately ( ___ , ___ ) B) The 99% confidence interval π if n = 196 is approximately ( ___ , ___ )

The mean and standard deviation of a random sample of n measurements are equal to 33.5...

The mean and standard deviation of a random sample of n measurements are equal to 33.5 and 3.5, respectively. a. Find a 90% confidence interval for m if n = 144. b. Find a 90% confidence interval for m if n = 576. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?

A random sample of 50 measurements resulted in a sample mean of 62 with a sample standard deviation 8. It is claimed that the true population mean is at least 64.

A random sample of 50 measurements resulted in a sample mean of 62 with a sample standard deviation 8. It is claimed that the true population mean is at least 64.(a) Is there sufficient evidence to refute the claim at the 2% level of significance?(b) What is the p-value?(c) What is the smallest value of α for which the claim will be rejected?

Assuming the sample size is 30, the sample mean (X ̅) is 24.75, the sample standard...

Assuming the sample size is 30, the sample mean (X ̅) is 24.75, the sample standard deviation (s) is 5, and degrees of freedom are 29, a 95% confidence interval for the population mean would have lower bound of _________________ and upper bound of _______________________

Suppose X ∼ U(0, 12). (a) Find the mean and standard deviation for X. (b) Find...

Suppose X ∼ U(0, 12). (a) Find the mean and standard deviation for X. (b) Find P(x > 7). (c) Find P(x > 5 | x < 10).

Sample size = 10. Population is normal. The sample mean is 1.3 million. Sample standard deviation...

Sample size = 10. Population is normal. The sample mean is 1.3 million. Sample standard deviation is 0.9million. Alpha ( level of significance) is 1%. Ho: Mu > or equal to 1.5 million Ha: Mu< 1.5 million a. What is the critical value? B. What is the test statistics t score? C . Do you reject or accept the null hypothesis?

An sample has a mean of 48 and a standard deviation of 7.6. (a) Find the...

An sample has a mean of 48 and a standard deviation of 7.6. (a) Find the z-score for each value of x = 52. (Give your answer correct to two decimal places.) 0.53 (b) Find the z-score for each value of x = 59. (Give your answer correct to two decimal places.) (c) (a) Find the z-score for each value of x = 45. (Give your answer correct to two decimal places.) (d) (a) Find the z-score for each value...

A random sample of 50 measurements resulted in a sample mean of 62 with a sample...

A random sample of 50 measurements resulted in a sample mean of 62 with a sample standard deviation 8. It is claimed that the true population mean is at least 64. a) Is there sufficient evidence to refute the claim at the 2% level of signifigance? b) What is the p-vaule? c) What is the smallest value of alpha for which the claim will be rejected?

Question