Answered: studying the effect of a drug for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

In studying the effect of a drug for treating patients with respiratory problems, a researcher obtained a sample of 12 consenting patients, who, after discussion with their doctor, chose a respiratory drug they would receive. Patients’ respiratory tests were assessed twice over a two-month period after initiating the treatment. Research question: The researcher wants to know if there is a significant difference between the group in their second test and those that didn’t take the drug in their overall mean of 3.35 in average respiratory scores with a standard deviation of .08. Is there a difference between the two means - does the drug work? Carry out 9 steps of hypothesis testing.

2. In studying the effect of a drug for
treating patients with respiratory
problems, a researcher obtained a
sample of 12 consenting patients, who,
after discussion with their doctor, chose
a respiratory drug they would receive.
Patients' respiratory tests were assessed
twice over a two-month period after
initiating the treatment. Research
question: The researcher wants to know
if there is a significant difference
between the group in their second test
and those that didn't take the drug in
their overall mean of 3.35 in average
respiratory scores with a standard
deviation of .08. Is there a difference
between the two means - does the drug
work? Carry out 9 steps of hypothesis
testing.
Respiratory Test 2
3.4
3.4
3.3
3.4
3.3
3.3
3.3
3.2
3.2
3.2
3.2
3.3
Σ-39.5

Summary of the 9 Steps for Hypothesis Testing
1. Null and alternative hypothesis.
2. Two-tailed test.
3. Select a significant level alpha.
4. Determine T test OR Z test.
5. Terit OR Zerit (Draw a graph)
6. Calculate Tobt or Zobt.
7. Check whether the observed value (obt) falls in the critical
region.
8. Reject or Fail to Reject Null Hypothesis.
9. Therefore, there isa statisticallysignificantdifference
between the sample mean and the population mean OR
there is no significant difference between the two means.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution