Consider the accompanying data on plant growth after the application of different types of growth hormone. $$\begin{array} { l c | c c c c }
\hline & 1 & 15 & 19 & 9 & 16 \
& 2 & 23 & 15 & 22 & 19 \
\text { Hormone } & 3 & 20 & 17 & 22 & 19 \
& 4 & 9 & 13 & 20 & 12 \
& 5 & 8 & 13 & 17 & 10 \
\hline
\end{array}$$
A) Perform an F test at level $\alpha = .05$
B) What happens when Tukey's procedure is applied?

Question

Consider the accompanying data on plant growth after the application of different types of growth hormone. $$\begin{array} { l c | c c c c } 
\hline & 1 & 15 & 19 & 9 & 16 \
& 2 & 23 & 15 & 22 & 19 \
\text { Hormone } & 3 & 20 & 17 & 22 & 19 \
& 4 & 9 & 13 & 20 & 12 \
& 5 & 8 & 13 & 17 & 10 \
\hline
\end{array}$$
A) Perform an F test at level $\alpha = .05$
B) What happens when Tukey's procedure is applied?

Quizplus · Accepted Answer

The F test is used to determine if there are significant differences among the means of several groups. In this case, it would involve calculating the overall mean, the mean of each group (hormone type), the within-group variance, and the between-group variance. The F statistic is then calculated and compared to a critical value from the F distribution, based on the degrees of freedom and the chosen significance level ($\alpha = .05$). Given the data but without the specific calculations and results, we can't determine the exact outcome of the F test, but this is the procedure that would be followed to assess if the different types of growth hormone have significantly different effects on plant growth.

Consider the Accompanying Data on Plant Growth After the Application