(1) A researcher has collected mass data for seven fish collected from each of s

Question

(1) A researcher has collected mass data for seven fish collected from each of six small ponds in central California. The researcher is interested in whether any of the ponds seem to have larger or smaller fish than the others. The data is: Elwynn Kalimdor Mulgore Tirisfal Zandalar Fish Draenor 30 24 31 27 27 30 25 28 36 29 37 31 31 32 29 36 37 35 28 32 35 29 31 33 35 39 38 30 33 27 36 37 33 30 31 31 35 35 (a, 2 pts) What is Fr for your preliminary variance equality F test? (round to nearest 0.001) (b, 2 pts) What is the critical Fmax value for this F test? Critical F (Use the F table posted on the website and a 0.05) (c, 1 pt ea) Complete the ANOVA table below. Provide a range for the p value using the tables provided on the course website. round all non-integer values to nearest 0.001) Source df SS MS Among Within Total (d, 3 pts) What is your conclusion? Use the grammar described in lecture and state with what degree of confidence you make your conclusion by providing the most specific range of p values from the table provided in lecture. You must use the phrase "significantly different" or not significantly different" in your answer. Also, if any means appear to be different make your best guess as to the most likely pai that differ. Note: no credit will be given for ANY text outside the box or hard to read answers. (2, 1 pt ea) Fill in the 5 missing values to complete the ANOVA table below. Provide an exact p value using R or Excel. Round any non-integer values to the nearest 0.001 Source dif SS MS F p Among 62 Within 20 Total 1270 53

Explanation / Answer

C) ANOVA                  

Sum of Squares   df   Mean Square F Sig.
Between Groups   87.905 6 14.651 1.038   .418
Within Groups 494.000 35 14.114      
Total 581.905 41          

A) F- MAX =4.417

B) CRITICAL VALUE FOR F-MAX = 12.1

D) FORM THE ANOVA TABLE THE P-VALUE IS 0.418 AND ALPHA =0.05. HERE THE P-VALUE IS GREATER THAN THE ALPHA VALUE WE CONCLUDE THAT THE SIZES OF THE FISH ARE SIGNIFICANTLY DIFFERENT .

2.

5

Source df ss ms F P AMONG

5

310 62 3.1 0.98 WITHIN 48 960 20 TOTAL 53 1270

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