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Citrus2011 [14]
3 years ago
11

Researchers want to determine whether or not there is a difference in systolic blood pressure based on how many hours a person e

xercises per week. They divide a sample of 72 people into 3 groups based on how many hours they exercise per week. Group 1 exercises less than 2 hours per week, Group 2 exercises between 2 and 5 hours per week, and Group 3 exercises more than 5 hours per week. Researchers measure and record the systolic blood pressure for each participant. They choose α = 0.05 level to test their results. For your convenience, I have prepared an excel file with the data titled: data_homework10_BP groups. Use this data to run a One-way Anova.
1. What is the between groups degrees of freedom for this study?

a. 2
b. 3
c. 72
d. 69

2. This finding is statistically significant.

a. True
b. False

3. Based on this information, the researcher should make the decision to ___________.

a. reject the null hypothesis
b. fail to reject the null hypothesis

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Answer:

(1) The between groups degrees of freedom is 2.

(2) TRUE.

(3) The correct option is (a).

Step-by-step explanation:

(1)

The between groups degrees of freedom for the study is:

\text{df}_{B}=k-1\\=3-1\\=2

Thus, the between groups degrees of freedom is 2.

(2)

The hypothesis for he one-way ANOVA is:

<em>H</em>₀: All the means are equal.

<em>Hₐ</em>: At least one of the mean is not equal.

The output of the ANOVA test is attached below.

The <em>p</em>-value of the test is 0.00005.

<em>p</em>-value = 0.00005 < <em>α</em> = 0.05

Thus, the result is statistically significant.

The statement is TRUE.

(3)

As the <em>p</em>-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.

The correct option is (a).

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