Questions asked
The test scores of 15 students are as follows. Represent the data as a box plot. 91, 95, 54, 69, 80, 85, 88, 73, 71, 70, 66, 90, 86, 84, 73
The time taken for an engine to reach stable operation was studied using a 2 level factorial experiment with three factors A, B and C. Two replications were carried out and the results are given below. Identify the significant variables and interactions. A B C Replication 1 Replication 2 -1 -1 -1 12 14 1 -1 -1 37 32 -1 1 -1 9 9 1 1 -1 35 42 -1 -1 1 24 28 1 -1 1 26 43 -1 1 1 31 21 1 1 1 38 27
Determine the p-value and conclude Using a t-distribution table or software to find the p-value corresponding to t = -1.92 with df = 9. If the p-value is less than the significance level (commonly 0.05), reject the null hypothesis. Assuming a p-value < 0.05, we reject the null hypothesis and conclude that there is statistically significant evidence that the diet modification program has an effect on weight.
Find the critical values for the F-test at the 0.05 level of significance. Using an F-distribution table or calculator, we find the critical values for a two-tailed test with df1 = 9 and df2 = 15 at α = 0.05: Lower critical value: F(0.025, 9, 15) ≈ 0.349 Upper critical value: F(0.975, 9, 15) ≈ 2.866 HOW TO FIND LOWER AND UPPER CRITICAL VALUES
Lower critical value: F(0.025, 9, 15) ≈ 0.349 Upper critical value: F(0.975, 9, 15) ≈ 2.866 HOW TO CALCULATE IT?