help please

10. [14.42 Points] DETAILS BBUNDERSTAT12 7.4.016.MI.S. MY NOTES ASK YOUR TEACHER The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm} at Iris virginica: 11; n1 = 36 Petal length (in cm} at Iris setosa: 12; n2 = 33 wu munmnnnmnamnanm 1.6 1.4 1.3 1.7 1.5 1.5 m use SALT (a) Use a calculator with mean and standard deviation keys to calculate E1, s1. 32, and s2. [Round your answers to four decimal places.) : 1.6 1.5 (b) Let #1 be the population mean for):1 and let #2 be the population mean for x2. Find a 99% condence interval for H1 :42. [Round your answers to two decimal places.) (c) Explain what the condence 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 condence. is the population mean petal length of iris virginica longer than that of iris setosa? 0 Because the interval contains only positive numbers. we can say that the mean petal length of iris virginica is longer. 0 Because the interval contains only negative numbers, we can say that the mean petal length of iris virginica is shorter. 0 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? 0 The standard normal distribution was used because 0'1 and 02 are known. 0 The Student's Hlistribution was used because 0'1 and 0'2 are unknown. 0 The Student's Hlistribution was used because 0'1 and 0'2 are known. 0 The standard normal distribution was used because 0'1 and 0'2 are unknown. Do you need information about the petal length distributions? Explain. 0 Both samples are large. so information about the distributions is needed. 0 Both samples are small, so information about the distributions is needed. 0 Both samples are small, so information about the distributions is not needed. 0 Both samples are large. so information about the distributions is not needed