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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
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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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

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