Section 9.3 Homework Question 4

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Section 9.3 Homework Question 4

Question

Section 9.3 Homework

4. 

Listed below are systolic blood pressure measurements​ (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can be​ concluded?

 

 

In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test?

 

 

Identify the test statistic.

Identify the​ P-value.

What is the conclusion based on the hypothesis​ test?

Since the​ P-value is _______ than the significance​ level, _______the null hypothesis. There _____sufficient evidence to support the claim of a difference in measurements between the two arms.

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This question is taken from Math 10 – Introduction to Statistics » Summer 2021 » Section 9.3 Homework