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8.131 Sleep. In 1908, W. S. Gosset published the article "The Prob- able Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneer- ing paper, written under the pseudonym "Student," Gosset introduced what later became known as Student's t-distribution. Gosset used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohysocyamine hydrobromide. 1.9 0.8 1.1 4.4 0.1 -0.1 3.4 5.5 1.6 4.6

8.131 Sleep. In 1908, W. S. Gosset published the article "The Prob- able Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneer- ing paper, written under the pseudonym "Student," Gosset introduced what later became known as Student's t-distribution. Gosset used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohysocyamine hydrobromide. 1.9 0.8 1.1 4.4 0.1 -0.1 3.4 5.5 1.6 4.6

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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8.131 Sleep. In 1908, W. S. Gosset published the article "The Prob- able Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneer- ing paper, written under the pseudonym "Student," Gosset introduced what later became known as Student's t-distribution. Gosset used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohysocyamine hydrobromide. 1.9 0.8 1.1 0.1 -0.1 4.4 5.5 1.6 4.6 3.4 a. Obtain and interpret a 95% confidence interval for the additional sleep that would be obtained on average for all people using laevo- hysocyamine hydrobromide. (Note: x = 2.33 hr; s = 2.002 hr.) b. Was the drug effective in increasing sleep? Explain your answer.
Transcribed Image Text:8.131 Sleep. In 1908, W. S. Gosset published the article "The Prob- able Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneer- ing paper, written under the pseudonym "Student," Gosset introduced what later became known as Student's t-distribution. Gosset used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohysocyamine hydrobromide. 1.9 0.8 1.1 0.1 -0.1 4.4 5.5 1.6 4.6 3.4 a. Obtain and interpret a 95% confidence interval for the additional sleep that would be obtained on average for all people using laevo- hysocyamine hydrobromide. (Note: x = 2.33 hr; s = 2.002 hr.) b. Was the drug effective in increasing sleep? Explain your answer.
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