1. A study was conducted by a group of neurosurgeons. They compared a dynamic system (Z-plate) and a static system (ALPS plate) in terms of the number of acute postop- erative days in the hospital spent by the patients. The descriptive statistics for these data are as follows: for 14 patients with dynamic system, the sample mean number of acute postoperative days was 7.36 with standard deviation of 1.22; for 6 patients with static system the sample mean number of acute postoperative days was 10.5 with sample standard deviation of 4.59. Assume that the numbers of acute postoperative days in both populations are normally distributed. We wish to estimate μ1 − μ2 with a 99 percent confidence interval. a. Unknown population variances can be assumed equal i. True ii. False b. Degrees of Freedom i. 18 ii. 20 iii. 2.553 iv. 2.878 c. What is the t−value to be used in calculation of margin of error? i. 3.365 ii. 4.032 iii. 2.553 iv. 2.878 d. Margin of Error i. 4.86 ii. 5.47 iii. 6.40 iv. 7.67 e. Confidence Interval i. (−10.81,4.53) ii. (−9.54,3.26) iii. (−8.00,1.72) iv. (−8.61,2.33) f. Based on your interval in part (e), we can state with 99 percent confidence that the average numbers of acute postoperative days in two populations i. Are significantly different ii. Are not significantly different

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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1. A study was conducted by a group of neurosurgeons. They compared a dynamic system (Z-plate) and a static system (ALPS plate) in terms of the number of acute postop- erative days in the hospital spent by the patients. The descriptive statistics for these data are as follows: for 14 patients with dynamic system, the sample mean number of acute postoperative days was 7.36 with standard deviation of 1.22; for 6 patients with static system the sample mean number of acute postoperative days was 10.5 with sample standard deviation of 4.59. Assume that the numbers of acute postoperative days in both populations are normally distributed. We wish to estimate μ1 − μ2 with a 99 percent confidence interval.

a. Unknown population variances can be assumed equal

i. True

ii. False

b. Degrees of Freedom

i. 18

ii. 20

iii. 2.553

iv. 2.878

c. What is the t−value to be used in calculation of margin of error?

i. 3.365

ii. 4.032

iii. 2.553

iv. 2.878

d. Margin of Error

i. 4.86

ii. 5.47

iii. 6.40

iv. 7.67

e. Confidence Interval

i. (−10.81,4.53)

ii. (−9.54,3.26)

iii. (−8.00,1.72)

iv. (−8.61,2.33)

f. Based on your interval in part (e), we can state with 99 percent confidence that the average numbers of acute postoperative days in two populations

i. Are significantly different

ii. Are not significantly different

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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