Use Table V in Appendix A to determine the t-percentile that is required to construct each...

Use Table V in Appendix A to determine the t-percentile that is required to construct each of the following two-sided confidence intervals. Round the answers to 3 decimal places.

(a) Confidence level = 95%, degrees of freedom = 19

(b) Confidence level = 95%, degrees of freedom = 30

(d) Confidence level = 99.9%, degrees of freedom = 14

Solutions

Expert Solution

Solution :

Given that,

(a) Confidence level = 95%, degrees of freedom = 19

At 95% confidence level the t is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

t_/2,df = t_0.025,19 = 2.093

(b) Confidence level = 95%, degrees of freedom = 30

At 95% confidence level the t is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

t_/2,df = t_0.025,30 =2.042

At 99% confidence level the t is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.001 / 2 = 0.005

t_/2,df = t_0.005,17 =2.898

(d) Confidence level = 99.9%, degrees of freedom = 14

At 99.9% confidence level the t is ,

= 1 - 99.9% = 1 - 0.999 = 0.001

/ 2 = 0.001 / 2 = 0.0005

t_/2,df = t_0.0005,14 = 4.140

milcah answered 11 months ago

Next > < Previous

Related Solutions

Use Table 10 of Appendix B to determine a 95% confidence interval for the true population...

Use Table 10 of Appendix B to determine a 95% confidence interval for the true population linear correlation coefficient based on the following sample statistics. (Give your answers correct to two decimal places.) (a) n = 8, r = 0.20 _____to____ (b) n = 100, r = −0.40 _____to _____ (c) n = 25, r = 0.65 _____to ____ (d) n = 15, r = −0.25 ____to ____

Use Table 10 of Appendix B to determine a 95% confidence interval for the true population...

Use Table 10 of Appendix B to determine a 95% confidence interval for the true population linear correlation coefficient based on the following sample statistics. (Give your answers correct to two decimal places.) (a) n = 8, r = 0.20 (b) n = 100, r = −0.40 (c) n = 25, r = 0.65 (d) n = 15, r = −0.25

Given the following information, use Table B.4 in Appendix B to determine whether the correlations are...

Given the following information, use Table B.4 in Appendix B to determine whether the correlations are significant and how you would interpret the results. 1. The correlation between speed and strength for 20 women is .567. Test these results at the .01 level using a one-tailed test. 2. The correlation between the number correct on a math test and the time it takes to complete the test is -.45. Test whether this correlation is significant for 80 children at the...

Determine the t-value in each of the cases. Click the icon to view the table of...

Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.10 with 10 degrees of freedom.

Determine the t-value in each of the cases. Click the icon to view the table of...

Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.10 with 5 degrees of freedom. __ (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 29 degrees of freedom.__ (Round to three decimal places as needed.) (c) Find the t-value such that the...

use the standard normal table to find the z score that corresponds to the given percentile....

use the standard normal table to find the z score that corresponds to the given percentile. if the area is not in the table use the entry closest to the area. if the area is halfway between two entries, use the z score halfway between the corresponding z score. if convenient use technology to find the z score P82

Use the standard normal table to find the Z score that corresponds to the given percentile...

Use the standard normal table to find the Z score that corresponds to the given percentile if the area is not in the table use the closest to the area if the area is halfway between two entries use the Z score halfway between the corresponding Z scores if convenient use technology to find the Z score. The Z score that corresponds to P 20 is? How do you use the standard normal table to Fonzie

use the standard normal table to find the z-score that corresponds to the given percentile. if...

use the standard normal table to find the z-score that corresponds to the given percentile. if the area is not in the table, use the entry closest to the area. if the area is halfway between two entries, use the z-scores P65

Use the standard normal table to find the z-score that corresponds to the given percentile. If...

Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. P75

Determine the t-value in each of the cases. LOADING... Click the icon to view the table...

Determine the t-value in each of the cases. LOADING... Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.25 with 6 degrees of freedom. nothing (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 19 degrees of freedom. nothing (Round to three decimal places as needed.) (c) Find the t-value such...

Subjects