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Pad 12:26 PM 61% Lab 1 XMail - katie.quiroz@ttu.edu X O https://ttu.blackboard.com/bbcswebdav/pid-3025905-dt-content-rid-16183683_1/courses/ . Homework Assignment 5: Analysis of Variance Please answer the following questions as clearly and concisely as possible. You must show your work to receive credit (i.e. don t just write down the answer you calculated in Excel). This homework assignment is due at the beginning of class on October II To complete this homework assignment, please consider the following table of shell compression strengths (measured in lbs) of four different species of turtles. Shell compression strength may be an indicator of antipredator defenses Species A Species B Species C Species D 655.5 789.2 737.1535.1 788.3 72.5639.0 628.7 734.3786.9 696.3542.4 721.4686.1371.7559.0 679.1732.1 717.2586.9 699.4 774.8 727.1520.0 1. Based on the results of an analysis of variance (ANOVA), do shell compression strengths differ between turtle species (assume = 0.05)? Be sure to state Ho, HA, calculated test statistic, critical F-statistic from the table, and conclusion to receive full credit!Explanation / Answer
One-way ANOVA: response1 versus factor1
Method
Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.05
Factor Information
Factor Levels Values
factor1 4 1, 2, 3, 4
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
factor1 3 129287 43096 6.91 0.002
Error 20 124659 6233
Total 23 253946
Model Summary
S R-sq R-sq(adj) R-sq(pred)
78.9490 50.91% 43.55% 29.31%
Means
factor1 N Mean StDev 95% CI
1 6 713.0 46.6 (645.8, 780.2)
2 6 756.9 40.3 (689.7, 824.2)
3 6 648.1 139.8 (580.8, 715.3)
4 6 562.0 39.9 (494.8, 629.2)
Pooled StDev = 78.9490
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