It has been known that a fixed dose of a certain drug results to an average increase of pulse rate by at least 12 beats per minute with a standard deviation of 5. A group of 20 patients given the same dose showed the following increases: 15, 12, 10, 8, 14,15, 16, 11, 7, 13, 9, 10, 12, 11, 9, 10, 17, 14, 15, 7.Is there proof to show that this group has a lower average increase of pulse rate than the ones in general? Use 0.05 level of significance.
It has been known that a fixed dose of a certain drug results to an average increase of pulse rate by at least 12 beats per minute with a standard deviation of 5. A group of 20 patients given the same dose showed the following increases: 15, 12, 10, 8, 14,15, 16, 11, 7, 13, 9, 10, 12, 11, 9, 10, 17, 14, 15, 7.Is there proof to show that this group has a lower average increase of pulse rate than the ones in general? Use 0.05 level of significance.
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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Problem:
It has been known that a fixed dose of a certain drug results to an average increase of pulse rate by at least 12 beats per minute with a standard deviation of 5. A group of 20 patients given the same dose showed the following increases: 15, 12, 10, 8, 14,15, 16, 11, 7, 13, 9, 10, 12, 11, 9, 10, 17, 14, 15, 7.Is there proof to show that this group has a lower average increase of pulse rate than the ones in general? Use 0.05 level of significance.
Solution:
I.Formulate Hypothesis
II.Level of significance
III.Appropriate test statistics (formula)
IV.Solution / Computation
V.Computed ValueTrue Value
VI.Decision
VII.Interpretation
Problem:
It has been known that a fixed dose of a certain drug results to an average increase of pulse rate by at least 12 beats per minute with a standard deviation of 5. A group of 20 patients given the same dose showed the following increases: 15, 12, 10, 8, 14,15, 16, 11, 7, 13, 9, 10, 12, 11, 9, 10, 17, 14, 15, 7.Is there proof to show that this group has a lower average increase of pulse rate than the ones in general? Use 0.05 level of significance.
Solution:
I.Formulate Hypothesis
II.Level of significance
III.Appropriate test statistics (formula)
IV.Solution / Computation
V.Computed ValueTrue Value
VI.Decision
VII.Interpretation
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IV.Solution / Computation
The sample mean and sample standard deviation are:
x=∑i=1nxin =15+12+10+8+14+15+16+11+7+13+9+10+12+11+9+10+17+14+15+720 is this really +720 and not +7?
=11.75s=∑i=1nxi-x2n-1 =15-11.752+12-11.752+10-11.752+…+7-11.75220-1 =3.0240
The test statistic is:
t=x-μsn =11.75-12520 =-0.2236
Solution
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