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Q3. A study was conducted to compare the relative effectiveness of two cough medicines ( A and B) in increasing sleep level for patients. Six people with cold were given medicine A the first night and medicine B the second night. Their hours of sleep each night were as follows: Patient 1 2 3 4 6 Мean Medicine A 4.8 Medicine B 3.5 4.9 5.8 4.9 6.8 7.4 5.7666 1.1111556 4.0 5.0 4.9 5.4 6.0 4.8 0.9143304 D=A-B 1.3 0.9 0.8 1.4 1.4 0.9666 0.5391351 a. Given EA=34.6 ,EA? =205.7 ,EB=28.8 , EB? =142.42 and EAB=170.53, compute the correlation coefficient between hours of sleep for drugs A and B and tell whether the relationship is + or - ? b.Test at a=0.05 to see if mean hours of sleep for Medicine A is significantly different from that of B? c. Give 95% Confidence interval for the difference in mean hours of sleep between Medicines A and B?

Q3. A study was conducted to compare the relative effectiveness of two cough medicines ( A and B) in increasing sleep level for patients. Six people with cold were given medicine A the first night and medicine B the second night. Their hours of sleep each night were as follows: Patient 1 2 3 4 6 Мean Medicine A 4.8 Medicine B 3.5 4.9 5.8 4.9 6.8 7.4 5.7666 1.1111556 4.0 5.0 4.9 5.4 6.0 4.8 0.9143304 D=A-B 1.3 0.9 0.8 1.4 1.4 0.9666 0.5391351 a. Given EA=34.6 ,EA? =205.7 ,EB=28.8 , EB? =142.42 and EAB=170.53, compute the correlation coefficient between hours of sleep for drugs A and B and tell whether the relationship is + or - ? b.Test at a=0.05 to see if mean hours of sleep for Medicine A is significantly different from that of B? c. Give 95% Confidence interval for the difference in mean hours of sleep between Medicines A and B?

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
Section10.1: Measures Of Center
Problem 9PPS
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Q3. A study was conducted to compare the relative effectiveness of two cough medicines ( A and B) in increasing sleep level for patients. Six people with cold were given medicine A the first night and medicine B the second night. Their hours of sleep each night were as follows: Patient 1 2 3 4 5 6 Мean S Medicine A 4.8 4.9 5.8 4.9 6.8 7.4 5.7666 1.1111556 Medicine B 3.5 4.0 5.0 4.9 5.4 6.0 4.8 0.9143304 D=A-B 1.3 0.9 0.8 1.4 1.4 0.9666 0.5391351 a. Given EA=34.6,EA? =205.7 ,EB=28.8 , EB? =142.42 and EAB=170.53, compute the correlation coefficient between hours of sleep for drugs A and B and tell whether the relationship is + or - ? b.Test at a=0.05 to see if mean hours of sleep for Medicine A is significantly different from that of B? c. Give 95% Confidence interval for the difference in mean hours of sleep between Medicines A and B? d.Test at a=0.05 to see if mean hours of sleep for Medicine A is significantly higher than that of B by more than one hour?
Transcribed Image Text:Q3. A study was conducted to compare the relative effectiveness of two cough medicines ( A and B) in increasing sleep level for patients. Six people with cold were given medicine A the first night and medicine B the second night. Their hours of sleep each night were as follows: Patient 1 2 3 4 5 6 Мean S Medicine A 4.8 4.9 5.8 4.9 6.8 7.4 5.7666 1.1111556 Medicine B 3.5 4.0 5.0 4.9 5.4 6.0 4.8 0.9143304 D=A-B 1.3 0.9 0.8 1.4 1.4 0.9666 0.5391351 a. Given EA=34.6,EA? =205.7 ,EB=28.8 , EB? =142.42 and EAB=170.53, compute the correlation coefficient between hours of sleep for drugs A and B and tell whether the relationship is + or - ? b.Test at a=0.05 to see if mean hours of sleep for Medicine A is significantly different from that of B? c. Give 95% Confidence interval for the difference in mean hours of sleep between Medicines A and B? d.Test at a=0.05 to see if mean hours of sleep for Medicine A is significantly higher than that of B by more than one hour?
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