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A manufacturing company packages shipments in either large or small boxes. A random sample of 40 shipments that are packaged in large boxes is found to have a mean of 15 pounds and a standard deviation of 2.8 pounds. A separate random sample of 50 shipments that are packaged in small boxes is found to have a mean of 10 pounds and a standard deviation of 1.5 pounds. The manager would like to know if the data provide convincing evidence that the true mean weight of all shipments that are packaged in small boxes is less than the true mean weight of all shipments that are packaged in large boxes. The manager tests Ho: Hs – = 0, Hạ: Hs – M < 0, where u = the true mean weight of all shipments that are packaged in large boxes and Us = the true mean weight of all shipments that are packaged in small boxes. The conditions for inference have been met. What are the values of the test statistic and P-value for a t-test about a difference in means? Find the t-table here and the z-table here. O t=-10.19. The P-value is less than 0.0005. O z=-10.19. The P-value is less than 0.0002. O t= 10.19. The P-value is less than 0.0005. O z = 10.19. The P-value is less than 0.0002.

A manufacturing company packages shipments in either large or small boxes. A random sample of 40 shipments that are packaged in large boxes is found to have a mean of 15 pounds and a standard deviation of 2.8 pounds. A separate random sample of 50 shipments that are packaged in small boxes is found to have a mean of 10 pounds and a standard deviation of 1.5 pounds. The manager would like to know if the data provide convincing evidence that the true mean weight of all shipments that are packaged in small boxes is less than the true mean weight of all shipments that are packaged in large boxes. The manager tests Ho: Hs – = 0, Hạ: Hs – M < 0, where u = the true mean weight of all shipments that are packaged in large boxes and Us = the true mean weight of all shipments that are packaged in small boxes. The conditions for inference have been met. What are the values of the test statistic and P-value for a t-test about a difference in means? Find the t-table here and the z-table here. O t=-10.19. The P-value is less than 0.0005. O z=-10.19. The P-value is less than 0.0002. O t= 10.19. The P-value is less than 0.0005. O z = 10.19. The P-value is less than 0.0002.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A manufacturing company packages shipments in either large or small boxes. A random sample of 40 shipments that are packaged in large boxes is found to have a mean of 15 pounds and a standard deviation of 2.8 pounds. A separate random sample of 50 shipments that are packaged in small boxes is found to have a mean of 10 pounds and a standard deviation of 1.5 pounds. The manager would like to know if the data provide convincing evidence that the true mean weight of all shipments that are packaged in small boxes is less than the true mean weight of all shipments that are packaged in large boxes. The manager tests Ho: Hs – = 0, Hạ: Hs – M < 0, where u = the true mean weight of all shipments that are packaged in large boxes and Us = the true mean weight of all shipments that are packaged in small boxes. The conditions for inference have been met. What are the values of the test statistic and P-value for a t-test about a difference in means? Find the t-table here and the z-table here. O t=-10.19. The P-value is less than 0.0005. O z=-10.19. The P-value is less than 0.0002. O t= 10.19. The P-value is less than 0.0005. O z = 10.19. The P-value is less than 0.0002.
Transcribed Image Text:A manufacturing company packages shipments in either large or small boxes. A random sample of 40 shipments that are packaged in large boxes is found to have a mean of 15 pounds and a standard deviation of 2.8 pounds. A separate random sample of 50 shipments that are packaged in small boxes is found to have a mean of 10 pounds and a standard deviation of 1.5 pounds. The manager would like to know if the data provide convincing evidence that the true mean weight of all shipments that are packaged in small boxes is less than the true mean weight of all shipments that are packaged in large boxes. The manager tests Ho: Hs – = 0, Hạ: Hs – M < 0, where u = the true mean weight of all shipments that are packaged in large boxes and Us = the true mean weight of all shipments that are packaged in small boxes. The conditions for inference have been met. What are the values of the test statistic and P-value for a t-test about a difference in means? Find the t-table here and the z-table here. O t=-10.19. The P-value is less than 0.0005. O z=-10.19. The P-value is less than 0.0002. O t= 10.19. The P-value is less than 0.0005. O z = 10.19. The P-value is less than 0.0002.
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