Show work to explain problem to easily understand steps PLEASE :) The data in th
ID: 3233722 • Letter: S
Question
Show work to explain problem to easily understand steps PLEASE :)
The data in the Excel icon for these problems has the measurements of the lengths of two different species of flowers, Red and Yellow. Biologists think that these two species of flowers have evolved together with two different species of hummingbirds so that now the length of the flowers fit only the specific species of bird that pollinates the flower. We want to determine from the data whether the two flower lengths support this notion and that the lengths are distinct, or significantly different.
1.Use Fathom or sketch the distributions for the red and yellow flowers, and comment on whether it is safe to use t – procedures.
2. Calculate two 99% Confidence Intervals for the mean length of the two species of flowers, one for Red flowers and a second for Yellow flowers. Do these intervals give any evidence for or against the argument?
3. Using the same data, use a two sample t test to determine at what significance level there is evidence that the mean red flower lengths and the mean yellow flower lengths are different, or not the same.
Flower Lengths
Red Lngt
Yellow Lngt
38.33
36.78
38.12
37.02
39.23
36.52
43.09
36.11
38.52
36.03
38.61
35.45
39.78
37.13
38.41
37.1
39.63
36.43
38.5
36.82
40.66
36.66
37.87
35.68
39.16
37.03
37.4
37.2
38.2
34.63
38.07
38.1
37.97
38.79
38.23
38.87
37.78
38.01
Show work to explain problem to easily understand steps PLEASE :)
The data in the Excel icon for these problems has the measurements of the lengths of two different species of flowers, Red and Yellow. Biologists think that these two species of flowers have evolved together with two different species of hummingbirds so that now the length of the flowers fit only the specific species of bird that pollinates the flower. We want to determine from the data whether the two flower lengths support this notion and that the lengths are distinct, or significantly different.
1.Use Fathom or sketch the distributions for the red and yellow flowers, and comment on whether it is safe to use t – procedures.
2. Calculate two 99% Confidence Intervals for the mean length of the two species of flowers, one for Red flowers and a second for Yellow flowers. Do these intervals give any evidence for or against the argument?
3. Using the same data, use a two sample t test to determine at what significance level there is evidence that the mean red flower lengths and the mean yellow flower lengths are different, or not the same.
Flower Lengths
Red Lngt
Yellow Lngt
38.33
36.78
38.12
37.02
39.23
36.52
43.09
36.11
38.52
36.03
38.61
35.45
39.78
37.13
38.41
37.1
39.63
36.43
38.5
36.82
40.66
36.66
37.87
35.68
39.16
37.03
37.4
37.2
38.2
34.63
38.07
38.1
37.97
38.79
38.23
38.87
37.78
38.01
Explanation / Answer
Two-Sample T-Test and CI: Red Lngt, Yellow Lngt
Two-sample T for Red Lngt vs Yellow Lngt
N Mean StDev SE Mean
Red Lngt 23 38.75 1.20 0.25
Yellow Lngt 15 36.439 0.737 0.19
Difference = (Red Lngt) - (Yellow Lngt)
Estimate for difference: 2.314
99% CI for difference: (1.458, 3.171)
T-Test of difference = 0 (vs ): T-Value = 7.36 P-Value = 0.000 DF = 35
P-value < 0.01 we reject null hypothesis.
At 1% significance level there is evidence that the mean red flower lengths and the mean yellow flower lengths are different.
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