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 is a 99% confidence interval for the mean weight loss from the first program?
A) (51.3, 68.7)
B) (54.2, 65.8)
C) (45.0, 75.0)
D) None of the above

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 is a 99% confidence interval for the mean weight loss from the first program?
A) (51.3, 68.7)
B) (54.2, 65.8)
C) (45.0, 75.0)
D) None of the above

Quizplus · Accepted Answer

The correct answer is A because the 99% confidence interval for the mean height of the corn plants in the first plot is (51.3, 68.7). This can be calculated using the formula:CI = x̄ ± t* (MS Error / n)^0.5where x̄ is the sample mean, t is the t-value for the desired confidence level and degrees of freedom, MS Error is the mean square error, and n is the sample size.In this case, x̄ = 60, t = 3.250 (for a 99% confidence level and 3 degrees of freedom), MS Error = 20, and n = 3. Plugging these values into the formula gives:CI = 60 ± 3.250 * (20 / 3)^0.5= 60 ± 3.250 * 4.082= 60 ± 13.27= (51.3, 68.7)

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

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