Birth Weight: A study of birth weight provided the following data (in ounces) for 12 newborns. Data (oz.): 112 111 107 119 92 80 81 84 118 106 103 94 Determine if these data are normally distributed. Yes No Value obtained for decision: _________ Determine the percent variability of these data. Variability value obtained: __________

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Description: Birth Weight: A study of birth weight provided the following data (in ounces) for 12 newborns. Data (oz.): 112 111 107 119 92 80 81 84 118 106 103 94 Determine if t

It is asked to determine the given data is normally distributed or not. We can check this by using QQ plot. Please refer the following steps to draw QQ plot. 1) Arrange the given data in ascending order and it is as follows; 2)Number the arrange data from 1 to n where n is the number of samples (12 in this example). 3) Calculate cumulative probability by using formula Number - 0.5n Round cumulative probabilities up to two decimal places so it would be 4) Find the z value for each cumulative probability. We can find this by using excel function =NORMSINV(cumulative probability). 5)Plot the Arranged data versus the z scores by using the following steps. Select the arranged data and Z score. Click on Insert >> Select Scatter >>> scatter with only markers. on x-axis , on the number press right click and format axis then you can change the primary and secondary axis. It will look like , From this QQ plot we can see that the data fall in a straight line, so we can say that data are normally distributed. It is asked to determine the percent variability of these data. Variability value obtained. The formula to calculate this percent variability is , = σx×100 Where , σ is the value of standard deviation. x̅ is the value of sample mean. We can find σ and x̅ by using MS_EXCEL. The function to find σ is =STDEV( data 1 , data2 , data3 , ......, data 12) and hit enter. The function to find x̅ is =AVERAGE(( data 1 , data2 , data3 , ......, data 12) and hit enter. Thus , σ is 14.00298 and x̅ is 100.5833. Now plug values in above formula and calculate its value. Percent variability = σx×100= 14.00298100.5833×100=13.92177 Thus , the percent variability of these data is 13.92177.

Answered: Birth Weight: A study of birth weight…

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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Birth Weight: A study of birth weight provided the following data (in ounces) for 12 newborns.

Data (oz.): 112 111 107 119 92 80 81 84 118 106 103 94

Determine if these data are normally distributed. Yes No Value obtained for decision: _________

Determine the percent variability of these data. Variability value obtained: __________

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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