Consider the accompanying data on plant growth after the application of different types of growth hormone. Hormone 1 12 16 6 15 2 20 12 21 18 3 17 15 18 20 4 6 10 17 9 5 7 10 16 7 (a) Carry out the F test at level ? = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) F = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? Reject H0. The data do not provide convincing evidence that the mean plant growth is not the same for all five growth hormones.Reject H0. The data provide convincing evidence that the mean plant growth is not the same for all five growth hormones. Fail to reject H0. The data provide convincing evidence that the mean plant growth is not the same for all five growth hormones.Fail to reject H0. The data do not provide convincing evidence that the mean plant growth is not the same for all five growth hormones. (b) What happens when the T-K procedure is applied? Identify significant differences. (Note: This "contradiction" can occur when H0 is "barely" rejected. It happens because the test and the multiple comparison method are based on different distributions. Use 95% confidence intervals. Select all that apply.) Significant differences between hormone 1 and hormone 2.Significant differences between hormone 1 and hormone 3.Significant differences between hormone 1 and hormone 4.Significant differences between hormone 1 and hormone 5.Significant differences between hormone 2 and hormone 3.Significant differences between hormone 2 and hormone 4.Significant differences between hormone 2 and hormone 5.Significant differences between hormone 3 and hormone 4.Significant differences between hormone 3 and hormone 5.Significant differences between hormone 4 and hormone 5.None of the differences are significant.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

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Question

Consider the accompanying data on plant growth after the application of different types of growth hormone.

Hormone	1	12	16	6	15
2	20	12	21	18
3	17	15	18	20
4	6	10	17	9
5	7	10	16	7

(a)

Carry out the F test at level

? = 0.05.

Calculate the test statistic. (Round your answer to two decimal places.)

F =

Use technology to find the P-value. (Round your answer to four decimal places.)

P-value =

What can you conclude?

Reject H₀. The data do not provide convincing evidence that the mean plant growth is not the same for all five growth hormones.Reject H₀. The data provide convincing evidence that the mean plant growth is not the same for all five growth hormones. Fail to reject H₀. The data provide convincing evidence that the mean plant growth is not the same for all five growth hormones.Fail to reject H₀. The data do not provide convincing evidence that the mean plant growth is not the same for all five growth hormones.

(b)

What happens when the T-K procedure is applied? Identify significant differences. (Note: This "contradiction" can occur when

H₀

is "barely" rejected. It happens because the test and the multiple comparison method are based on different distributions. Use 95% confidence intervals. Select all that apply.)

Significant differences between hormone 1 and hormone 2.Significant differences between hormone 1 and hormone 3.Significant differences between hormone 1 and hormone 4.Significant differences between hormone 1 and hormone 5.Significant differences between hormone 2 and hormone 3.Significant differences between hormone 2 and hormone 4.Significant differences between hormone 2 and hormone 5.Significant differences between hormone 3 and hormone 4.Significant differences between hormone 3 and hormone 5.Significant differences between hormone 4 and hormone 5.None of the differences are significant.

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