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3. [1/7 Points] DETAILS PREVIOUS ANSWERS SOWRECMATH3 30.6.5.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following heights of students in a class. 5' 9' 5'5 5' 2 4' 11" 4' 10" 5' 4' 1'9 5' 1 5' 3 5' 0" 5' 6" 5' 0" 5' 1" 4' 10" 5' 6" 4' 9" 5' 0" 4'9" 4' 11" 5' 3" (a) Converting the numbers to feet only, find the mean and standard deviation. (Round the mean to two decimal places and the standard deviation to three decimal places.) mean ft standard deviation ft (b) Converting the numbers to inches only, find the mean and standard deviation. (Round the mean to two decimal places and the standard deviation to three decimal places.) mean in standard deviation in (c) For both parts (a) and (b), find the z-value for a student who is 5' 3". (Round your answers to two decimal places.) feet only inches only Z : (d) Are the data normally distributed? Explain how you know. Yes the data are normally distributed, because a bar graph of the data is shaped like a bell curve. No the data are not normally distributed, because a bar graph of the data is shaped like a bell curve. . No the data are not normally distributed, because a bar graph of the data is not shaped like a bell curve. Yes the data are normally distributed, because a bar graph of the data is not shaped like a bell curve