Provided here is a dataset from a class. This data was collected from an 8-10am course that met every Tuesday and Thursday. Answer all of the following questions. Give your answers in sentences and/or copy/paste your Excel graphs/commands when used. 2019 Data Gender Age Height (in) Shoe Size Miles Home to school Classes this Semester M 20 77 15 3 4 F 45 63 11 8 3 F 20 62 8.5 22 4 F 19 68 9 7.5 4 M 19 70 9.5 6.5 4 F 18 63 6.5 6.5 5 F 21 62 5.5 2 4 F 19 65 7 7 4 F 18 64 8.5 5.5 5 F 19 60 7 15 3 F 21 60 6.5 5 1 M 19 72 11 15 5 M 42 68.75 11 5 1 M 18 74 11.5 2.5 4 F 18 62 6.5 7.5 4 F 19 60 7.5 3 5 F 20 59 4.5 3.5 5 M 20 78 14 87 5 M 19 72.5 12 0.5 4 M 21 66 8.5 5 4 M 19 76 12 45 5 M 19 71 12 22 5 M 19 69 11 4.5 4 F 19 65 7 2 4 F 25 66 8 1 2 M 19 68 10 5 4 M 19 72 11.5 82 4 F 18 64 8.5 21 4 F 23 70 9.5 4 3 D) Find the mean and standard deviation of the heights of this sample of students. E) The Empirical Rule states that IF a data set is Normally distributed, that approximately 68% of the observations should fall within ONE standard deviation of the mean. Typically, heights tend to be normally distributed. IF this sample of student heights is normally distributed, give the lower and upper boundary of heights where approximately 68% of student heights should lie. F) Use simple probability (no technology needed) to find the probability that, if I chose a random student from this list, that student would be between these two boundary heights found in part E. G) What can you conclude about this specific sample of students' heights? Do you believe that they are "normally distributed"? Why/why not?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Provided here is a dataset from a class.

This data was collected from an 8-10am course that met every Tuesday and Thursday. Answer all of the following questions. Give your answers in sentences and/or copy/paste your Excel graphs/commands when used.

2019 Data
Gender	Age	Height (in)	Shoe Size	Miles Home to school	Classes this Semester
M	20	77	15	3	4
F	45	63	11	8	3
F	20	62	8.5	22	4
F	19	68	9	7.5	4
M	19	70	9.5	6.5	4
F	18	63	6.5	6.5	5
F	21	62	5.5	2	4
F	19	65	7	7	4
F	18	64	8.5	5.5	5
F	19	60	7	15	3
F	21	60	6.5	5	1
M	19	72	11	15	5
M	42	68.75	11	5	1
M	18	74	11.5	2.5	4
F	18	62	6.5	7.5	4
F	19	60	7.5	3	5
F	20	59	4.5	3.5	5
M	20	78	14	87	5
M	19	72.5	12	0.5	4
M	21	66	8.5	5	4
M	19	76	12	45	5
M	19	71	12	22	5
M	19	69	11	4.5	4
F	19	65	7	2	4
F	25	66	8	1	2
M	19	68	10	5	4
M	19	72	11.5	82	4
F	18	64	8.5	21	4
F	23	70	9.5	4	3

D) Find the mean and standard deviation of the heights of this sample of students.

E) The Empirical Rule states that IF a data set is Normally distributed, that approximately 68% of the observations should fall within ONE standard deviation of the mean. Typically, heights tend to be normally distributed. IF this sample of student heights is normally distributed, give the lower and upper boundary of heights where approximately 68% of student heights should lie.

F) Use simple probability (no technology needed) to find the probability that, if I chose a random student from this list, that student would be between these two boundary heights found in part E.

G) What can you conclude about this specific sample of students' heights? Do you believe that they are "normally distributed"? Why/why not?