Pulse Rates If we use the data given in Exercise 1 with two-way analysis of variance, we get the accompanying display. What do you conclude?

Short Answer

Expert verified

It can be concluded that there is a significant interaction effect of the factors age bracket and gender on pulse rates.

Step by step solution

01

Given information

The ANOVA table is provided for the data given on pulse rates under two factors: age bracket and gender.

02

Set up the statistical hypothesis for the two-way analysis of variance

For the given two-way analysis of variance, the following hypotheses are set up for the interaction effect:

Null Hypothesis: There is no interaction between the factors age and gender on pulse rates.

Alternative Hypothesis: There is an interaction between the factors age and gender on pulse rates.

03

Interpret the results

The ANOVA output shows that the p-value corresponding to the F statistic value (under interaction) of 9.58 is equal to 0.0003.

As the p-value is less than 0.05, the null hypothesis is rejected.

It can be concluded that there is an interaction between the factors of age and gender on pulse rates.

Since the interaction effect is significant, the individual effects of age and gender will not be tested.

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