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

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