A sample of 40 observations results in a sample mean of 436. The population standard deviation...

A sample of 40 observations results in a sample mean of 436. The population standard deviation is known to be 121.

Construct a 95% confidence interval for the population mean.
Does the sample evidence enable to conclude that the population mean is greater than 400 with the 5% significance level? Conduct the test based on the critical value approach.
Does the sample evidence enable to conclude that the population mean is greater than 400 with the 5% significance level? Conduct the test based on the p-value approach.
Does the sample evidence enable to conclude that the population mean is greater than 400 with the 10% significance level? Conduct the test based on the p-value approach.
Does the sample evidence enable to conclude that the population mean is different from 400 with the 5% significance level? Conduct the test based on the p-value approach.

Expert Solution

orchestra answered 1 year ago

Item Sample Mean 1 Population standard deviation of 1 n1 Sample Mean 2 Population Standard Deviation...

Item Sample Mean 1 Population standard deviation of 1 n1 Sample Mean 2 Population Standard Deviation 2 n2 7 18 6 169 12 12 121 0.01 Perform a Two-tailed hypothesis test for two population means.

A sample of 260 observations is selected from a normal population with a population standard deviation...

A sample of 260 observations is selected from a normal population with a population standard deviation of 26. The sample mean is 15. Determine the standard error of the mean. Determine the 98% confidence interval for the population mean. (Use z Distribution Table.) (Round your answers to 3 decimal places.)

A sample of 44 observations is selected from one population with a population standard deviation of...

A sample of 44 observations is selected from one population with a population standard deviation of 3.1. The sample mean is 101.0. A sample of 56 observations is selected from a second population with a population standard deviation of 5.0. The sample mean is 99.5. Conduct the following test of hypothesis using the 0.10 significance level. H0:U1=U2 H1: U1 does not equal U2 a. is this a one or two tailed test? b.state the decision rule rounded 2 decimals the...

A sample of 65 observations is selected from one population with a population standard deviation of...

A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population with a population standard deviation of 0.66. The sample mean is 2.59/ conduct the following test of hypothesis using the 0.08 significance level: Ho: m1 £ m2 H1: m1 > m2 Is this a one-tailed or a tow-tailed test? State the decision rule. Compute the value of...

A sample of 37 observations is selected from one population with a population standard deviation of...

A sample of 37 observations is selected from one population with a population standard deviation of 4.0. The sample mean is 100.5. A sample of 56 observations is selected from a second population with a population standard deviation of 4.4. The sample mean is 98.6. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ1 = μ2 H1 : μ1 ≠ μ2 Is this a one-tailed or a two-tailed test? One-tailed test Two-tailed test State the...

A sample of 250 observations is selected from a normal population with a population standard deviation...

A sample of 250 observations is selected from a normal population with a population standard deviation of 23. The sample mean is 18 Determine the standard error of the mean. (Round your answer to 3 decimal places.) Determine the 99% confidence interval for the population mean. (Use z Distribution Table.) (Round your answers to 3 decimal places.)

A sample of 22 observations is selected from a normal population. The sample standard deviation is...

A sample of 22 observations is selected from a normal population. The sample standard deviation is 23.00, and the sample mean is 51. a. Determine the standard error of the mean. (Round the final answer to 4 decimal places.) The standard error of the mean is b. Determine the 80% confidence interval for the population mean. (Round the final answers to 2 decimal places.) The 80% confidence interval for the population mean is between ？ and ？ ...

A sample of 17 observations is selected from a normal population. The sample standard deviation is...

A sample of 17 observations is selected from a normal population. The sample standard deviation is 21.75, and the sample mean is 36. a. Determine the standard error of the mean. (Round the final answer to 4 decimal places.) The standard error of the mean is . b. Determine the 80% confidence interval for the population mean. (Round the final answers to 2 decimal places.) The 80% confidence interval for the population mean is between and . c. f...

A sample of 40 observations is selected from a normal population. The sample mean is 31,...

A sample of 40 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 30 H1: μ > 30 Is this a one- or two-tailed test? "One-tailed"—the alternate hypothesis is greater than direction. "Two-tailed"—the alternate hypothesis is different from direction. What is the decision rule? (Round your answer to 3 decimal places.) What is the value of...

A sample of 22 observations is selected from a normal population where the population standard deviation...

A sample of 22 observations is selected from a normal population where the population standard deviation is 26. The sample mean is 68. a. Determine the standard error of the mean. (Round the final answer to 3 decimal places.) The standard error of the mean is . b. Determine the 80% confidence interval for the population mean. (Round the z-value to 2 decimal places. Round the final answers to 3 decimal places.) The 80% confidence interval for the population mean is...

Question