For the two experiments described below select the proper st

For the two experiments described below, select the proper statistical test/tests to compare the means of each set of sample data as described below Does the measured data suggest that a significant difference exists between the means of the samples for values to 0.05, 0.10 and 0.15. If not, identify which two sets of sample data have significant differences between their respective means for each value. (Sample One versus Sample Two at a values to 0.05, 0.10 and 0.15, Sample Two versus Sample Three at values to 0.05, 0.10 and 0.15. etc.) Justify your conclusions by comparing the probability of them being significantly different with the value of the test statistic that you chose to utilize. Organize your results in a table for each experiment and email them to A broth used to manufacture a pharmaceutical prod- uct has its sugar content, in mg/mL, measured several times on each of three successive days. 1 45 4 Day 1: 5.0 4.8 5.1 5.1 4.8 5.1 4.8 Day 2: 5.8 4.7 4.7 49 5.1 4.9 5.4 Day 3: 6.3 4.7 5.1 5.9 5.1 5.9 4.7 48 5.0 5.2 49 4.9 5.0 5.3 5.3 4.8 5.7 5.1 5.7 6.0 5.3 4.9 5.7 5.3 5.6 Day 3 00 3 43 30 7 Experiment Twe The article \"Infuence of Age on Masonry Bond Streagth and Mortar Microstracture\" (H. Sugo, A. Page, and S. Lawrence, Can J Civ Eng. 2007:1433-1442) investigates the effect of age on tensile strength of mortar. Several specimens of various ages were loaded until failure, and the maximam load (in MPa) was recorded for each. The resalts are presented in the following table. Age (days) Maximum load (MPa) 1.69, 1.69, 1.97,2.09. 1.81, 1.53, 1.63, 1.70, 1.73, 1.72, 1.48, 1.15 28 90 180 363 182, 1.86, 1.72. 1.73, 1.70, 1.44, 2.00, 1.78, 1.47, 1.32, 1.87, 1.57 2.76,2.60.2.38, 2.06, 1.81, 2.76, 2.41, 2.29. 200, 2.15, 0.97, 1.91.2.26 1.18. I 46, 202, 2.16, 1.79, 1.74, 2.08, 199·L63, 195, 166, 234 2.60, 2.28, 2.42. 2.66, 224, 2.53, 1.66, 2.33, 2.02, 2.28, 2.18, 2.27, 2.24, 1.81, 1.93 2.16, 151,244,2.13,201, 200, 209,2.18,2.48, 199,2.15,2.14, 156. 1.94, 1.75

Solution

Using the spread sheet, the output for the one way ANOVA for the experiment 1 is,

Analysis: The P-value is 0.0146, which is less than the significance level of 0.05. Reject the null hypothesis. Therefore, it can be concluded that the treatment means are differ.

Using the spread sheet, the output for the one way ANOVA for the experiment 2 is,

Analysis: The P-value is 0, which is less than any level of significanvce. Reject the null hypothesis. Therefore, it can be concluded that the treatment means are differ.