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Petal length (in cm) of Iris virginica: x,;n, = 36 5.0 5.8 6.1 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 6.4 5.3 5.5 5.4 4.5 6.7 5.7 4.9 4.8 5.9 5.2 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.4 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.0 1.7 1.2 1.4 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 n USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, Xa, and s,. (Round your answers to four decimal places.) X, = 5.4730 S = 5460 %3! X, = 1.4838 %3D S, = 52 2128 (b) Let u, be the population mean for x, and let H, be the population mean for x2. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit 3.73 upper limit 4.24 (c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa? MacBook Pro F12 $11 F10 F9 FB

Petal length (in cm) of Iris virginica: x,;n, = 36 5.0 5.8 6.1 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 6.4 5.3 5.5 5.4 4.5 6.7 5.7 4.9 4.8 5.9 5.2 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.4 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.0 1.7 1.2 1.4 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 n USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, Xa, and s,. (Round your answers to four decimal places.) X, = 5.4730 S = 5460 %3! X, = 1.4838 %3D S, = 52 2128 (b) Let u, be the population mean for x, and let H, be the population mean for x2. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit 3.73 upper limit 4.24 (c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa? MacBook Pro F12 $11 F10 F9 FB

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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, = 36 5.0 5.8 6.1 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 5.9 5.2 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.4 1.8 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 SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, X, and s. (Round your answers to four decimal places.) x, = 5.4730 X1 %3D S1 .5460 X, = 1.4838 S, = 2128 (b) Let u, be the population mean for x, and let H, be the population mean for x2. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit 3.73 upper limit 4.24 (c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa? MacBook Pro DD F11 F12 F10 F9 000 F7 FR F6 F5 esc F2 F3 F4 * # $ de %3D @ 8 9 1 2 3 4
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: x,; n, = 36 5.0 5.8 6.1 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 5.9 5.2 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.4 1.8 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 SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, X, and s. (Round your answers to four decimal places.) x, = 5.4730 X1 %3D S1 .5460 X, = 1.4838 S, = 2128 (b) Let u, be the population mean for x, and let H, be the population mean for x2. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit 3.73 upper limit 4.24 (c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa? MacBook Pro DD F11 F12 F10 F9 000 F7 FR F6 F5 esc F2 F3 F4 * # $ de %3D @ 8 9 1 2 3 4
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