Botany: IrisThe following data represent petal lengths (in cm) for independent random samples of two species of iris. Assume the petal length is normally distributed for both species.Iris Virginica (x1)5.1 5.8 6.3 6.1 5.1 5.5 6.9 5.0 4.9 6.05.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5Iris Setosa (x2)1.5 1.7 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.41.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6Using a calculator, x ¯ 1 = 5.47 s 1 = 0.58 x ¯ 2 = 1.45 and s 2 = 0.18 Let μ 1 be the population mean for x 1 and let μ 2 be the population mean for x 2 . Use this information to find a 90% confidence interval for the difference in petal lengths of iris virginica and iris setosa (that is for μ 1 − μ 2 ) Is σ 1 and σ 2 known or unknown? To determine the critical value, is it appropriate to use the normal distribution or the Student's t-distribution? What are the appropriate values rounded 2 decimal places Zc/Tc E m1-m2
Botany: Iris
The following data represent petal lengths (in cm) for independent random samples of two species of iris. Assume the petal length is
Iris Virginica (x1)
5.1 5.8 6.3 6.1 5.1 5.5 6.9 5.0 4.9 6.0
5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5
Iris Setosa (x2)
1.5 1.7 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4
1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6
Using a calculator,
x ¯ 1 = 5.47
s 1 = 0.58
x ¯ 2 = 1.45
and
s 2 = 0.18
Let μ 1 be the population mean for x 1 and let μ 2 be the population mean for x 2 . Use this information to find a 90% confidence interval for the difference in petal lengths of iris virginica and iris setosa (that is for μ 1 − μ 2 )
Is σ 1 and σ 2 known or unknown?
To determine the critical value, is it appropriate to use the normal distribution or the Student's t-distribution?
What are the appropriate values rounded 2 decimal places
Zc/Tc
E
m1-m2
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