The following data represent petal lengths (in cm) for independent random samples of two species of Iris. Petal length (in cm) of Iris virginica: x,; n = 35 5.2 5.9 6.2 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.6 1.7 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.6 (a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and s2. (Round your answers to two decimal places.) X1 = S1 = X2 %3D S2 = (b) Let µ̟ be the population mean for x1 and let uz be the population mean for x2. Find a 99% confidence interval for l1 - 42. (Round your answers to two decimal places.) lower limit upper limit
The following data represent petal lengths (in cm) for independent random samples of two species of Iris. Petal length (in cm) of Iris virginica: x,; n = 35 5.2 5.9 6.2 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.6 1.7 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.6 (a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and s2. (Round your answers to two decimal places.) X1 = S1 = X2 %3D S2 = (b) Let µ̟ be the population mean for x1 and let uz be the population mean for x2. Find a 99% confidence interval for l1 - 42. (Round your answers to two decimal places.) lower limit upper limit
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Transcribed Image Text:The following data represent petal lengths (in cm) for independent random samples of two species of Iris.
Petal length (in cm) of Iris virginica: x1; n¸ = 35
5.2 5.9 6.2 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1
5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9
4.8 5.8 5.2
Petal length (in cm) of Iris setosa: x2; nɔ = 38
1.6 1.7 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 1.4
1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5
1.6 1.4 1.3 1.7 1.5 1.6
(a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and s2. (Round your answers to
two decimal places.)
X1
S1 =
S2
(b) Let uz be the population mean for x1 and let µz be the population mean for x2. Find a 99% confidence interval
for u1 - µ2. (Round your answers to two decimal places.)
lower limit
upper limit
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