F = 13 P = 14 DATA variety length bihai 46.79 bihai 48.16 bihai 47.95 bihai 47.9
ID: 3236867 • Letter: F
Question
F = 13
P = 14
DATA
variety length bihai 46.79 bihai 48.16 bihai 47.95 bihai 47.95 bihai 50.6 bihai 48.2 bihai 47.82 bihai 49.52 bihai 48.27 bihai 47.96 bihai 49.16 bihai 47.99 bihai 47.46 bihai 48.5 bihai 49 bihai 47.53 red 40.68 red 39.23 red 40.55 red 39.17 red 37.64 red 37.24 red 37.61 red 40.78 red 39.45 red 41.79 red 41.57 red 42.34 red 41.63 red 37.75 red 40.06 red 41.38 red 40.86 red 39.15 red 39.73 red 41.45 red 41.08 red 39.69 red 41.59 yellow 36.18 yellow 36.89 yellow 37.38 yellow 37.91 yellow 36.92 yellow 34.66 yellow 36.26 yellow 34.7 yellow 37.31 yellow 34.48 yellow 37.07 yellow 35.38 yellow 37.24 yellow 34.99 yellow 35.76
flower type n s H. bihai 1 2 3 4 H. caribaea red 5 6 7 8 H. caribaea yellow 9 10 11 12Explanation / Answer
Answer:
Different varieties of the tropical flower Heliconia are fertilized by different species of hummingbirds. Over time, the lengths of the flowers and the form of the hummingbirds' beaks have evolved to match each other. Here are data on the lengths in millimeters of three varieties of these flowers on the island of Dominica. data219.dat
Do a complete analysis that includes description of the data and a significance test to compare the mean lengths of the flowers for the three species. (Round your answers for x to four decimal places, s to three decimal places, and to three decimal places. Round your test statistic to two decimal places. Round your P-value to three decimal places.)
n
mean
sample standard deviation
standard error of the mean
bihai
16
48.3038
0.907
0.227
red
23
40.1052
1.505
0.314
yellow
10
36.2690
1.251
0.396
F=315.86
P=0.000
Calculated F=315.86, P=0.000 which is < 0.05 level. Ho is rejected.
We conclude that mean lengths of the flowers for the three species are different.
One factor ANOVA
Mean
n
Std. Dev
48.304
16
0.9072
bihai
40.105
23
1.5046
red
36.269
10
1.2508
yellow
41.999
49
4.8370
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
1,046.8144
2
523.40722
315.86
1.35E-27
Error
76.2258
46
1.65708
Total
1,123.0403
48
n
mean
sample standard deviation
standard error of the mean
bihai
16
48.3038
0.907
0.227
red
23
40.1052
1.505
0.314
yellow
10
36.2690
1.251
0.396
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