13. The anterior cruciate ligament (ACL) is one of the ligaments that help stabilize the knee. Surgery is often recommended if the ACL is completely torn, and recovery time from the surgery can be lengthy. A medical center developed a new surgical procedure designed to reduce the average recovery time from the surgery. To test the effectiveness of the new procedure, a study was conducted in which 210 patients needing surgery to repair a torn ACL were randomly assigned to receive either the standard procedure or the new procedure. (a) Based on the design of the study, would a statistically significant result allow the medical center to conclude that the new procedure causes a reduction in recovery time compared to the standard procedure, for patients similar to those in the study? Explain your answer. (b) Summary statistics on the recovery times from the surgery are shown in the table. Sample Mean Recovery Time Type of Procedure Standard Deviation Recovery Time (days) Size (days) Standard 110 217 34 New 100 186 29 Do the data provide convincing statistical evidence that those who receive the new procedure will have less recovery time from the surgery, on average, than those who receive the standard procedure, for patients similar to those in the study?
13. The anterior cruciate ligament (ACL) is one of the ligaments that help stabilize the knee. Surgery is often recommended if the ACL is completely torn, and recovery time from the surgery can be lengthy. A medical center developed a new surgical procedure designed to reduce the average recovery time from the surgery. To test the effectiveness of the new procedure, a study was conducted in which 210 patients needing surgery to repair a torn ACL were randomly assigned to receive either the standard procedure or the new procedure. (a) Based on the design of the study, would a statistically significant result allow the medical center to conclude that the new procedure causes a reduction in recovery time compared to the standard procedure, for patients similar to those in the study? Explain your answer. (b) Summary statistics on the recovery times from the surgery are shown in the table. Sample Mean Recovery Time Type of Procedure Standard Deviation Recovery Time (days) Size (days) Standard 110 217 34 New 100 186 29 Do the data provide convincing statistical evidence that those who receive the new procedure will have less recovery time from the surgery, on average, than those who receive the standard procedure, for patients similar to those in the study?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
In the picture
Transcribed Image Text:12.A small coffee shop sells freshly squeezed juices in a refrigerated unit with slots
where juice is displayed. These slots are called facings. The manager of the coffee shop
suspects that the distribution of juice sales is different than the distribution of facings
for each type of juice, so the manager records the sales of each juice over a two-week
period. The proportion of facings and the sales for each type of juice are shown in the
tables.
Juice
Mango Orange Apple Pineapple Grapefruit Grape
Proportion of Facings 0.1875 0.250 0.250 0.125 0.125
0.0625
Juice
Mango Orange Apple Pineapple Grapefruit Grape
46 12
Observed Number of Sales 23
35
10
5
(a) Construct a single bar chart that contains both the expected proportion of sales
based on the proportion of facings and the observed proportion of sales for each type
of juice.
(b) Assuming the conditions for inference have been met, does the coffee shop owner
have sufficient evidence to conclude that the distribution of sales is proportional to the
number of facings at a 5 percent level of significance? Conduct the appropriate
statistical test to support your conclusion.
Transcribed Image Text:13. The anterior cruciate ligament (ACL) is one of the ligaments that help stabilize the
knee. Surgery is often recommended if the ACL is completely torn, and recovery time
from the surgery can be lengthy. A medical center developed a new surgical
procedure designed to reduce the average recovery time from the surgery. To test the
effectiveness of the new procedure, a study was conducted in which 210 patients
needing surgery to repair a torn ACL were randomly assigned to receive either the
standard procedure or the new procedure.
(a) Based on the design of the study, would a statistically significant result allow the
medical center to conclude that the new procedure causes a reduction in recovery time
compared to the standard procedure, for patients similar to those in the study? Explain
your answer.
(b) Summary statistics on the recovery times from the surgery are shown in the table.
Sample Mean Recovery Time
Type of
Procedure
Standard Deviation
Recovery Time (days)
Size
(days)
Standard
110
217
34
New
100
186
29
Do the data provide convincing statistical evidence that those who receive the
new procedure will have less recovery time from the surgery, on average, than
those who receive the standard procedure, for patients similar to those in the
study?
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