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  3. the following data represent petal lengths in cm f

The following data represent petal lengths in cm for independent random samples of two species...

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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 2 5 8 6 3 6 1 5 1 5 5 5 3 5 5 6 9 5 6 4 8 5 7 5 3 5 3 S x 4 8 Petal length in cm of Iris setosa X n 38 1 6 1 8 1 4 1 5 1 5 1 6 1 4 1 1 1 5 2 S 1 6 5 4 5 1 5 1 1 4 1 4 1 3 1 2 1 3 1 7 USE SALT 5 9 1 5 5 2 5 7 5 4 1 3 1 6 1 9 1 5 1 5 5 0 4 5 4 9 6 0 1 4 1 6 6 4 5 3 5 5 1 4 1 2 4 8 6 1 1 0 1 7 1 5 1 4 6 7 1 7 1 9 1 6 1 2 5 6 5 7 5 1 4 9 a Use a calculator with mean and standard deviation keys to calculate x S X2 and s Round your answers to four decimal places 1 6 1 4 1 9 1 5 b Let be the population mean for x and let be the population mean for x Find a 99 confidence interval for H H Round your answers to two decimal places lower limit upper limit 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 confidence is the population mean petal length of Iris virginica longer than that of Iris setosa peritive numbers we can say that the mean petal length of Iris virginica is longer

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