Use the following information for questions:
12 corn plants were randomly assigned to one of four plots of land (3 plants in each plot) , and the mean heights of the plants were compared for the four plots using one-way analysis of variance. The mean square error (MS Error) was 20. The average height of the corn plants in the first plot was $\overline{x_1}$ = 60 inches.
-What are the degrees of freedom for the t^* multiplier for a confidence interval for $µ_1$ the average height of corn plants grown in the first plot?

Question

Use the following information for questions:
12 corn plants were randomly assigned to one of four plots of land (3 plants in each plot) , and the mean heights of the plants were compared for the four plots using one-way analysis of variance. The mean square error (MS Error) was 20. The average height of the corn plants in the first plot was

\overline{x_1}

= 60 inches.
-What are the degrees of freedom for the t^* multiplier for a confidence interval for

µ_1

the average height of corn plants grown in the first plot?

Quizplus · Accepted Answer

The degrees of freedom for the t-distribution when estimating a confidence interval for the mean height of corn plants in one plot, using the mean square error from an ANOVA, is based on the degrees of freedom for the error term. Since there are 12 plants divided into 4 plots, with 3 plants per plot, the degrees of freedom for error (MS Error) is calculated as the total number of observations minus the number of groups: $df = n - k = 12 - 4 = 8$.

Use the Following Information for Questions: 12 Corn Plants x1‾\overline{x_1} x1​​

Use the Following Information for Questions:
12 Corn Plants $\overline{x_1}$