Using One-Factor ANOVA with 30 Observations We Find at α

question 23

Multiple Choice

Using one-factor ANOVA with 30 observations we find at α = .05 that we cannot reject the null hypothesis of equal means. We increase the sample size from 30 observations to 60 observations and obtain the same value for the sample F-test statistic. Which is correct?

• A)We might now be able to reject the null hypothesis.
• B)We surely must reject H₀ for 60 observations.
• C)We cannot reject H₀ since we obtained the same F-value.
• D)It is impossible to get the same F-value for n = 60 as for n = 30.

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Definitions:

Seasonal Variation

Fluctuations in data that occur at regular intervals because of seasonal factors.

Time Series

A sequence of data points, measured typically at successive times, spaced at uniform time intervals.

Fluctuations

Variations or changes in a state or level, often referring to economics or financial markets, but also applicable to any variable phenomenon.

Smoothing Constants

Parameters used in time series analysis to control the level of smoothing applied to the data.