Homework Help is Here – Start Your Trial Now!
Math
Statistics
Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure that he believes is an improvement over the standard procedure. He wants to study whether the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure. The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 10 patients who have the standard procedure. (These samples are chosen independently.) The doctor records each patient's recovery time (in days). These data are shown in the table. New procedure Standard procedure Send data to calculator Recovery times (in days) 395, 428, 317, 330, 391, 397, 376, 350, 362, 291, 395 400, 351, 410, 383, 393, 395, 386, 369, 381, 411 Send data to Excel Assume that the two populations of recovery times are approximately normally distributed. Can the doctor conclude, at the 0.01 level of significance, that the population mean of the recovery times of patients who have the new procedure is less than the population mean of recovery times of patients who have the standard procedure? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternate hypothesis H₁. Ho: O H₁:0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: H |x X 7 O S 8 0=0 OSO Р

Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure that he believes is an improvement over the standard procedure. He wants to study whether the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure. The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 10 patients who have the standard procedure. (These samples are chosen independently.) The doctor records each patient's recovery time (in days). These data are shown in the table. New procedure Standard procedure Send data to calculator Recovery times (in days) 395, 428, 317, 330, 391, 397, 376, 350, 362, 291, 395 400, 351, 410, 383, 393, 395, 386, 369, 381, 411 Send data to Excel Assume that the two populations of recovery times are approximately normally distributed. Can the doctor conclude, at the 0.01 level of significance, that the population mean of the recovery times of patients who have the new procedure is less than the population mean of recovery times of patients who have the standard procedure? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternate hypothesis H₁. Ho: O H₁:0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: H |x X 7 O S 8 0=0 OSO Р

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 8SGR
See similar textbooks
icon
Related questions
Question
Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure that he believes is an improvement over the standard procedure. He wants to study whether the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure. The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 10 patients who have the standard procedure. (These samples are chosen independently.) The doctor records each patient's recovery time (in days). These data are shown in the table. New procedure Standard procedure Send data to calculator Assume that the two populations of recovery times are approximately normally distributed. Can the doctor conclude, at the 0.01 level of significance, that the population mean of the recovery times of patients who have the new procedure is less than the population mean of recovery times of patients who have the standard procedure? (a) State the null Recovery times (in days) 395, 428, 317, 330, 391, 397, 376, 350, 362, 291, 395 400, 351, 410, 383, 393, 395, 386, 369, 381, 411 Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) Ho and the alternate hypothesis H₁. Send data to Excel Chi-square HO H₁:0 (b) Determine the type of test statistic to use. (c) Find thou Degrees of freedom: dhe th μ |x 5 0=0 O S On Р <Q חוח OSO 020 Es 6 E
Transcribed Image Text:Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure that he believes is an improvement over the standard procedure. He wants to study whether the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure. The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 10 patients who have the standard procedure. (These samples are chosen independently.) The doctor records each patient's recovery time (in days). These data are shown in the table. New procedure Standard procedure Send data to calculator Assume that the two populations of recovery times are approximately normally distributed. Can the doctor conclude, at the 0.01 level of significance, that the population mean of the recovery times of patients who have the new procedure is less than the population mean of recovery times of patients who have the standard procedure? (a) State the null Recovery times (in days) 395, 428, 317, 330, 391, 397, 376, 350, 362, 291, 395 400, 351, 410, 383, 393, 395, 386, 369, 381, 411 Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) Ho and the alternate hypothesis H₁. Send data to Excel Chi-square HO H₁:0 (b) Determine the type of test statistic to use. (c) Find thou Degrees of freedom: dhe th μ |x 5 0=0 O S On Р <Q חוח OSO 020 Es 6 E
Assume that the two populations of recovery times are approximately normally distributed. Can the doctor conclude, at the 0.01 level of significance, that the population mean of the recovery times of patients who have the new procedure is less than the population mean of recovery times of patients who have the standard procedure? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternate hypothesis H₁. H₂ : O H₁ :0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.01 level of significance, can the doctor conclude that the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure? Yes No μ Ix X 5 a 50 X S 2 0=0 OSO #0 0<0 Р S <o Olo ロマロ >O
Transcribed Image Text:Assume that the two populations of recovery times are approximately normally distributed. Can the doctor conclude, at the 0.01 level of significance, that the population mean of the recovery times of patients who have the new procedure is less than the population mean of recovery times of patients who have the standard procedure? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternate hypothesis H₁. H₂ : O H₁ :0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.01 level of significance, can the doctor conclude that the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure? Yes No μ Ix X 5 a 50 X S 2 0=0 OSO #0 0<0 Р S <o Olo ロマロ >O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS