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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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
Transcribed Image Text: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.
Transcribed Image Text: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.
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