Provide an appropriate response. 45) You are performing a study about the weight of preschoolers. A previous study found the weights to be normally distributed with a mean of 30 and a standard deviation of 4. You randomly sample 30 preschool children and find their weights to be as follows. 25 25 26 26.5 27 27 27.5 28 28 28.5 29 29 30 30 30.5 31 31 32 32.5 32.5 37 38 38 33 33 34 34.5 35 35 37 a) Draw a histogram to display these data. Use seven classes. Do the weights appear to be normally distributed? Explain. b) Find the mean and standard deviation of your sample. c) Is there a high probability that the mean and standard deviation of your sample are consistent with those found in previous studies? Explain your reasoning.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
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Provide an appropriate response.
45) You are performing a study about the weight of preschoolers. A previous study found the weights to be normally
distributed with a mean of 30 and a standard deviation of 4. You randomly sample 30 preschool children and find
their weights to be as follows.
25 25 26 26.5 27 27 27.5
29 29 30 30
30.5 31 31
33 33 34 34.5 35 35 37
37 38 38
a) Draw a histogram to display these data. Use seven classes. Do the weights appear to be normally
distributed? Explain.
b) Find the mean and standard deviation of your sample.
28 28 28.5
32 32.5 32.5
c) Is there a high probability that the mean and standard deviation of your sample are consistent
with those found in previous studies? Explain your reasoning.
Transcribed Image Text:Provide an appropriate response. 45) You are performing a study about the weight of preschoolers. A previous study found the weights to be normally distributed with a mean of 30 and a standard deviation of 4. You randomly sample 30 preschool children and find their weights to be as follows. 25 25 26 26.5 27 27 27.5 29 29 30 30 30.5 31 31 33 33 34 34.5 35 35 37 37 38 38 a) Draw a histogram to display these data. Use seven classes. Do the weights appear to be normally distributed? Explain. b) Find the mean and standard deviation of your sample. 28 28 28.5 32 32.5 32.5 c) Is there a high probability that the mean and standard deviation of your sample are consistent with those found in previous studies? Explain your reasoning.
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