10. [-/4.42 Points! DETAILS BBUNDERSTAT127.4.016.MI.S. The following dats represent petal lengths (in cm) for independen

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10 4 42 Points Details Bbunderstat127 4 016 Mi S The Following Dats Represent Petal Lengths In Cm For Independen 1 (68.7 KiB) Viewed 12 times

10. [-/4.42 Points! DETAILS BBUNDERSTAT127.4.016.MI.S. The following dats represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica: x₁m₁ = 36 5.5 5.3 5.0 5.8 6.5 6.1 5.1 5.5 5.3 5.5 5.5 5.0 4.9 6.0 6.9 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 5.0 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.9 5.3 5.3 Petal length (in cm) of Iris setos: x2 n₂ = 38 1.1 1.2 1.4 1.7 1.0 15 14 1.2 1.3 1.5 1.3 1.6 1.9 1.4 16 15 14 1.6 1.2 19 1.5 1.6 1.4 1.3 1.7 1.5 1.6 51 = In USE SALT (a) Use a calculator with men and standard deviation keys to calculate ₁, 81, 2, and s₂. (Round your answers to four decimal places.) (b) Lưt py be the population mean for sy and let uy be the population mean for x2. Find a 99% confidence interval for ₂. (Round your answers to two decimal placas.) 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 al positive? all negative? of different signs? At the 99% level of confidence, is the population mean petal length of Inis virginica longer than that of his sctosa? Because the Interval contains only positive numbers, we can say that the mean petal length of Inis wirginics is longer. Because the interval contains only negative numbers, we can say that the mean petal length of Ins virginice is shorter Because the interval contains both positive and negative numbers, we cannot say that the mean petal length of fris virginice is longer. (d) Which distribution did you use? Why? The Student'st-distribution was used because and 2 are known. The standard normal distribution was used because 1 and 2 are known. The Student's -distribution was used because 1 and 2 are unknown. The standard normal distribution was used because my and oy are unknown. MY NOTES ASK YOUR TEACHER Do you need information about the petal length distributions? Explain. Both samples are lange, so information about the distributions is needed. Both samples are smail, so information about the distributions is not needed. Both samples are small, so information about the distributions is needed. Both samples are large, so information about the distributions is not needed.