Given Information: Sample Size (n)= 115 Sample Mean (x) 10.8 Sample standard deviation (s) = 1.13 a. The population mean for the number of drugs prescribed to the patients is being estimated. b. The point estimate is the sample mean. In the given study, the sample mean () is 10.8. Thus, Point estimate = 10.8 c. The 98% confidence interval can be calculated by using the formula: CI=a/2n-1 X T Substitute the values in the above formula, and we get: CI= 10.840.02/2,114 X 1.13 VIIS The critical value of t can be calculated using the excel function =T.INV.2T(), Thus we have: =T.INV.2T(0.02,114) D C 2.3595 The 98% CI interval is, 1.13 CI= 10.8+2.3595 x V115 = 10.80.2486 = (10.80.2486, 10+ 0.2486) = (10.5514, 11.0486) Hence, the 98% confidence interval for u is (10.5514, 11.0486). The 80% confidence interval can be calculated by using the formula: CI=x+la/2n-1 X In Substitute the values in the above formula, and we get: 1.13 CI = 10.8 +40.20/2,114 XVII The critical value of t can be calculated using the excel function =T.INV.2T(), Thus we have: =T.INV.2T(0.2,114) D C 1.289 The 80% CI interval is, CI 10.8 1.289 x 13 VIIS = 10.80.1358 = (10.80.1358, 10+ 0. 1358) = (10.6642, 10.9358) Hence, the 80% confidence interval for u is (10. 6642, 10.9358).
Given Information: Sample Size (n)= 115 Sample Mean (x) 10.8 Sample standard deviation (s) = 1.13 a. The population mean for the number of drugs prescribed to the patients is being estimated. b. The point estimate is the sample mean. In the given study, the sample mean () is 10.8. Thus, Point estimate = 10.8 c. The 98% confidence interval can be calculated by using the formula: CI=a/2n-1 X T Substitute the values in the above formula, and we get: CI= 10.840.02/2,114 X 1.13 VIIS The critical value of t can be calculated using the excel function =T.INV.2T(), Thus we have: =T.INV.2T(0.02,114) D C 2.3595 The 98% CI interval is, 1.13 CI= 10.8+2.3595 x V115 = 10.80.2486 = (10.80.2486, 10+ 0.2486) = (10.5514, 11.0486) Hence, the 98% confidence interval for u is (10.5514, 11.0486). The 80% confidence interval can be calculated by using the formula: CI=x+la/2n-1 X In Substitute the values in the above formula, and we get: 1.13 CI = 10.8 +40.20/2,114 XVII The critical value of t can be calculated using the excel function =T.INV.2T(), Thus we have: =T.INV.2T(0.2,114) D C 1.289 The 80% CI interval is, CI 10.8 1.289 x 13 VIIS = 10.80.1358 = (10.80.1358, 10+ 0. 1358) = (10.6642, 10.9358) Hence, the 80% confidence interval for u is (10. 6642, 10.9358).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:PLEASE INTERPRET A B AND C. THANK YOU
Given Information:
Sample Size (n) = 115
Sample Mean (x)= 10.8
Sample s tan dard deviation (s) = 1.13
a. The population mean for the number of drugs prescribed to the patients is being estimated.
b. The point estimate is the sample mean. In the given study, the sample mean () is 10.8. Thus,
Point estimate = 10.8
c. The 98% confidence interval can be calculated by using the formula:
CI= x ±la/2_n-1 X
n
Substitute the values in the above formula, and we get:
CI = 10.8 + 10.02/2,114 X 1.13
VIIS
The critical value of t can be calculated using the excel function =T.INV.2T(), Thus we have:
=T.INV.2T(0.02,114)
с
D
2.3595
The 98% CI interval is,
CI= 10.8+2.3595 x 1.13
VI15
= 10.8 +0.2486
= (10.80.2486, 10+ 0.2486)
= (10.5514, 11.0486)
Hence, the 98% confidence interval for uis (10.5514, 11.0486).
The 80% confidence interval can be calculated by using the formula:
CI= x ±lan-1 X
Substitute the values in the above formula, and we get:
CI= 10.8 +10.20/2,114
X
VIS
The critical value of t can be calculated using the excel function =T.INV.2T(), Thus we have:
=T.INV.2T(0.2,114)
D
C
1.289
The 80% CI interval is,
CI= 10.8 1.289 x 1.13
V115
= 10.8 +0.1358
= (10.8 -0.1358, 10+ 0.1358)
= (10.6642, 10. 9358)
Hence, the 80% confidence interval for u is (10.6642, 10.9358).
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