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8.14 Employees' test scores. A company sent its employees to attend two different English courses. The company is inter- ested in knowing if there is any difference between the two courses attended by its employees. When the employees returned from the courses, the company asked them to take a common test. The summary statistics of the test re- sults of each of the two English courses are recorded in the following table: Course 1 Course 2 n₁ = 50 n₂ = 50 X₁ = 75.1 X₂ = 72.1 $1 = 12.8 $2 = 14.6 a. Identify the parameter(s) that would help the company determine the difference between the two courses. b. State the appropriate null and alternative hypotheses that the company would like to test. = .327. c. After conducting the hypothesis test at the 5% sig- nificance level, the company found the p-value Interpret this result for the company.

8.14 Employees' test scores. A company sent its employees to attend two different English courses. The company is inter- ested in knowing if there is any difference between the two courses attended by its employees. When the employees returned from the courses, the company asked them to take a common test. The summary statistics of the test re- sults of each of the two English courses are recorded in the following table: Course 1 Course 2 n₁ = 50 n₂ = 50 X₁ = 75.1 X₂ = 72.1 $1 = 12.8 $2 = 14.6 a. Identify the parameter(s) that would help the company determine the difference between the two courses. b. State the appropriate null and alternative hypotheses that the company would like to test. = .327. c. After conducting the hypothesis test at the 5% sig- nificance level, the company found the p-value Interpret this result for the company.

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
Section: Chapter Questions
Problem 13PT
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8.14 Employees' test scores. A company sent its employees to attend two different English courses. The company is inter- ested in knowing if there is any difference between the two courses attended by its employees. When the employees returned from the courses, the company asked them to take a common test. The summary statistics of the test re- sults of each of the two English courses are recorded in the following table: Course 1 Course 2 n₁ = 50 n₂ = 50 x₁ = 75.1 X₂ = 72.1 $1 = 12.8 $2 = 14.6 a. Identify the parameter(s) that would help the company determine the difference between the two courses. b. State the appropriate null and alternative hypotheses that the company would like to test. c. After conducting the hypothesis test at the 5% sig- nificance level, the company found the p-value = .327 Interpret this result for the company.
Transcribed Image Text:8.14 Employees' test scores. A company sent its employees to attend two different English courses. The company is inter- ested in knowing if there is any difference between the two courses attended by its employees. When the employees returned from the courses, the company asked them to take a common test. The summary statistics of the test re- sults of each of the two English courses are recorded in the following table: Course 1 Course 2 n₁ = 50 n₂ = 50 x₁ = 75.1 X₂ = 72.1 $1 = 12.8 $2 = 14.6 a. Identify the parameter(s) that would help the company determine the difference between the two courses. b. State the appropriate null and alternative hypotheses that the company would like to test. c. After conducting the hypothesis test at the 5% sig- nificance level, the company found the p-value = .327 Interpret this result for the company.
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