Fill in blanks. PLease explain steps. **Table Title:** Using the following observed information, determine the critical F-value for each observed F-test and interpret the results of each test.| Observed F-value | Number of groups compared | Number of subjects per group | Alpha level | Degrees of freedom (b, w) | Critical F-value | Interpretation (reject H₀ or retain H₀) ||------------------|----------------------------|------------------------------|-------------|---------------------------|------------------|------------------------------------------|| 5.06 | 3 | 9, 9, 9 | 0.05 | | | || 4.00 | 4 | 6, 5, 6, 8 | 0.01 | | | || 3.82 | 5 | 10, 10, 10, 10, 10 | 0.01 | | | || 3.00 | 6 | 9, 9, 5, 8, 9, 9 | 0.05 | | | || 16.2 | 3 | 15, 15, 15 | 0.05 | | | || 1.96 | 5 | 20, 20, 18, 16, 15 | 0.05 | | | |**Explanation:**This table presents data for statistical analysis using F-tests. Each row corresponds to a test that involves comparing multiple groups to determine if there are significant differences among them. - **Observed F-value:** This is the calculated F-value from the data, which is compared against the critical F-value.- **Number of groups compared:** The number of distinct groups being analyzed.- **Number of subjects per group:** The sample size for each group.- **Alpha level:** The significance level used in hypothesis testing, representing the probability of rejecting the null hypothesis when it is true.- **Degrees of freedom (b, w):** The degrees of freedom between (b) groups and within (w) groups, which are necessary to find the critical F-value from statistical tables.- **Critical F-value:** Not provided; needs to be determined from F-distribution tables based on the degrees of freedom and

Name: Fill in blanks. PLease explain steps. **Table Title:** Using the follo
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Description: Fill in blanks. PLease explain steps. **Table Title:** Using the following observed information, determine the critical F-value for each observed F-test and interpret the results of each test.| Observed F-value | Number of groups compared | Number of

The given dataset is: Observed F-value n(groups)=k n(subjects per group) Alpha level (L) 5.06 3 9,9,9 0.05 4.00 4 6,5,6,8 0.01 3.82 5 10,10,10,10 0.01 3.00 6 9,9,5,8,9,9 0.05 16.20 3 15,15,15 0.05 1.96 5 20,20,18,16,15 0.05Formula to find the degree of freedom for both between and within is: dfb=k-1dfw=nTotal number of obeservation or subject per group-k =N-k Thus, for the first row, the degree of freedom can be determined as: k=3N=9+9+9=27 dfb=k-1=3-1=2dfw=N-k=27-3=24 Similarly for all, Thus, the degree of freedom for all is, n(groups)=k N=n(subjects) Df (b=k-1, w=N-k) 3 27 (2, 24) 4 25 (3, 21) 5 50 (4, 45) 6 49 (5, 43) 3 45 (2, 42) 5 84 (4, 84)The F-test is used for a one-tail. Therefore, The critical value can be determined as: Using F-table, F(b, w) Alpha level (L) F-critical value F(2, 24) 0.05 3.403 F(3, 21) 0.01 4.874 F(4, 45) 0.01 3.767 F(5, 43) 0.05 2.432 F(2, 42) 0.05 3.220 F(4, 84) 0.05 2.480Decision rule: The null hypothesis is rejected (H0) when the test statistic is greater than the critical value. For the first row, The test statistic (5.06) is greater than the critical value (3.403). Thus, the null hypothesis is rejected (H0). Thus, the rest of the other, Observed F-value F-critical value Reject H0 or retain H0 5.06 3.403 Reject H0 4.00 4.874 Retain H0 3.82 3.767 Reject H0 3.00 2.432 Reject H0 16.20 3.220 Reject H0 1.96 2.480 Retain H0Thus, the final answer table is: Observed F-value Df (b=k-1, w=N-k) F-critical value Reject H0 or retain H0 5.06 (2, 24) 3.403 Reject H0 4.00 (3, 21) 4.874 Retain H0 3.82 (4, 45) 3.767 Reject H0 3.00 (5, 43) 2.432 Reject H0 16.20 (2, 42) 3.220 Reject H0 1.96 (4, 84) 2.480 Retain H0