The following data represent petal lengths (in cm) for independent random samples of two species of iris.Petal length (in cm) of Iris virginica: xn, 365.06.3 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.15.85.6 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 4.94.8 5.7 5.1 5.1Petal length (in cm) of Iris setosa x n381.41.8 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 141.5 1.4 1.2 1.3 1.5 1.3 1.6 1.91.6 1.51.41.4 1.61.21.9 1.51.6 1.4 1.3 1.71.51.5A USE SALT (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? Atthe 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa?O Because the interval contains only positive numbers, we can say that the mean petal length of Iris virginica is longer.O Because the interval contains only negative numbers, we can say that the mean petal length of Iris virginica is shorter.O Because the interval contains both positive and negative numbers, we cannot say that the mean petal length of Iris virginica is longer.(d) Which distribution did you use? Why?O The Student's t-distribution was used because a, and a, are known.O The standard normal distribution was used because e, and e, are known.O The Student's t-distribution was used because o, and a, are unknown.O The standard normal distribution was used because e, and a, are unknown.Do you need information about the petal length distributions? Explain.O Both samples are large, so information about the distributions is not needed.O Both samples are small, so information about the distributions is not needed.O Both samples are large, so information about the distributions is needed.O Both samples are small, so information about the distributions is needed.

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The confidence interval is used to get an interval in which the population parameter (unknown) is…