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Consider the accompanying data on plant growth after the application of different types of growth hormone. 1: 12 18 7 13 2: 20 14 19 18 3: 17 15 20 17 4: 7 12 17 9. 5: 11 15 9. n USE SALT (a) Perform an F test at level a = 0.05. State the appropriate hypotheses. O Hoi Hy # Hz # H3# H4 * H5 H: at least two u;'s are equal O Ho: H1 = H2 = H3 = H4= H5 H: all five u's are unequal O Ho: H1 = Hz = H3 = H4= H5 H: at least two u's are unequal O Ho: H1 # Hz # Hz # HA# H5 H: all five u;'s are equal Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001

Consider the accompanying data on plant growth after the application of different types of growth hormone. 1: 12 18 7 13 2: 20 14 19 18 3: 17 15 20 17 4: 7 12 17 9. 5: 11 15 9. n USE SALT (a) Perform an F test at level a = 0.05. State the appropriate hypotheses. O Hoi Hy # Hz # H3# H4 * H5 H: at least two u;'s are equal O Ho: H1 = H2 = H3 = H4= H5 H: all five u's are unequal O Ho: H1 = Hz = H3 = H4= H5 H: at least two u's are unequal O Ho: H1 # Hz # Hz # HA# H5 H: all five u;'s are equal Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The image contains a dataset and instructions for performing an F-test on plant growth data after using different types of growth hormones. ### Dataset The data includes measurements for five categories labeled 1 through 5. Each category includes four numerical values representing plant growth: - Category 1: 12, 18, 7, 13 - Category 2: 20, 14, 19, 18 - Category 3: 17, 15, 20, 17 - Category 4: 7, 12, 17, 9 - Category 5: 7, 11, 15, 9 ### Instructions for F-test - The level of significance is set at \( \alpha = 0.05 \). - The task is to state the appropriate hypotheses. Four options for hypotheses are given: 1. \( H_0: \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4 \neq \mu_5 \) \( H_a: \) at least two \( \mu_i's \) are equal 2. \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4 = \mu_5 \) \( H_a: \) all five \( \mu_i's \) are unequal 3. **Selected Option**: \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4 = \mu_5 \) \( H_a: \) at least two \( \mu_i's \) are unequal 4. \( H_0: \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4 \neq \mu_5 \) \( H_a: \) all five \( \mu_i's \) are equal The third hypothesis is selected. ### Calculation - **Test Statistic** (\( f \)): A box is provided for entering the result, accurate to two decimal places. ### P-value Interpretation Several ranges for the P-value are provided for interpretation: - \( P\text{-value} > 0.100 \) - \( 0.050 < P\text{-value} < 0.100 \) - \( 0.010 < P\text{-value
Transcribed Image Text:The image contains a dataset and instructions for performing an F-test on plant growth data after using different types of growth hormones. ### Dataset The data includes measurements for five categories labeled 1 through 5. Each category includes four numerical values representing plant growth: - Category 1: 12, 18, 7, 13 - Category 2: 20, 14, 19, 18 - Category 3: 17, 15, 20, 17 - Category 4: 7, 12, 17, 9 - Category 5: 7, 11, 15, 9 ### Instructions for F-test - The level of significance is set at \( \alpha = 0.05 \). - The task is to state the appropriate hypotheses. Four options for hypotheses are given: 1. \( H_0: \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4 \neq \mu_5 \) \( H_a: \) at least two \( \mu_i's \) are equal 2. \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4 = \mu_5 \) \( H_a: \) all five \( \mu_i's \) are unequal 3. **Selected Option**: \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4 = \mu_5 \) \( H_a: \) at least two \( \mu_i's \) are unequal 4. \( H_0: \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4 \neq \mu_5 \) \( H_a: \) all five \( \mu_i's \) are equal The third hypothesis is selected. ### Calculation - **Test Statistic** (\( f \)): A box is provided for entering the result, accurate to two decimal places. ### P-value Interpretation Several ranges for the P-value are provided for interpretation: - \( P\text{-value} > 0.100 \) - \( 0.050 < P\text{-value} < 0.100 \) - \( 0.010 < P\text{-value
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