2. Four basketball teams took a random sample of players to test how high each player can jump (in inches). The results are shown in Table. Team 1 Team 2 Team 3 Team 4 36 32 48 38 42 35 50 44 51 38 44 41 40 33 46 43 45 39 52 39 Using ANOVA, test whether the basketball teams have player with different jumping ability. Determine the differences between means at significance level of 5%. If there are differences between the means, conduct a post-hoc test using LSD.

40 people are randomly sent to walk one of four trails. The time (in minutes) they spend completing each trail is recorded in the table below. (a) Test to see if the times needed to complete a trail vary. Use a 0.05 significance level. (b) Test each pair (A/B, A/C, A/D, B/C, B/D, C/D) to see which trails have a statistically significant difference. Indicate your p-value for each comparison, and when the effect is statistically significant (use 0.05 as your significance level), declare which trail of the two takes more time to complete. Trail A - 30, 33, 41, 27, 36, 31, 37, 40, 29, 35 Trail B - 27, 33, 38, 41, 40, 38, 35, 44, 41, 39 Trail C - 25, 34, 41, 39, 32, 30, 36, 35, 27, 33 Trail D - 41, 39, 46, 37, 40, 42, 50, 42, 50, 33, 47, 43

Suppose an instructor would like to know if there is difference in the performance of her two courses of 560 students each. She proceeds to take a random sample of size 50 from each independent class and was able to establish the following results: mean SD Class 1 86 17 Class 2 78 15 Is there a significant difference between the two classes at a significance level of five percent?

A physician who specialized in weight control has three different plans he recommends. TTISIT As an experiment, he randomly selected 12 patients and then assigned 4 to each diet. After three weeks, the following weight losses, in pounds, were noted. Plan A Plan B Plan C 15 15 19 16 17 19 Grand Mean=17 14 19 21 15 17 17 Mean 2=17 Mean 3=19 Mean1=15 Use 0.05 significance level, to test if the plans are different. Question: Calculate the following, only: The SStotal, the SSE, the SST, dfT, dfE, VarT, VarE, and the test statistic F. Note: Write the details of your calculations for the Sum of Squares, only, and the final Result for the others. Type your answers on the Response Template. (without the formulas).

Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g. 2.95 6.46 6.00 5.46 20.49 7.51 12.02 20.45 11.50 17.54 Identify the null and alternative hypotheses. Ho H₁: (Type integers or decimals. Do not round.)