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Suppose the birth weights of full-term babies are normally distributed with mean 3750 grams and standard deviation o = 495 grams. Complete parts (a) through (c) below. ..... (a) Draw a normal curve with the parameters labeled. Choose the correct graph below. O A. В. D. Q 3750 4245 3750 3255 2760 4740 3750 4740 3255 4245 2760 3750

Suppose the birth weights of full-term babies are normally distributed with mean 3750 grams and standard deviation o = 495 grams. Complete parts (a) through (c) below. ..... (a) Draw a normal curve with the parameters labeled. Choose the correct graph below. O A. В. D. Q 3750 4245 3750 3255 2760 4740 3750 4740 3255 4245 2760 3750

MATLAB: An Introduction with Applications
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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**Understanding Birth Weight Distribution:** When it comes to analyzing the birth weights of full-term babies, we see they fit a normal distribution pattern. This distribution is characterized by a mean (average) birth weight of 3750 grams and a standard deviation (\(\sigma\)) of 495 grams. **Task:** You are asked to select the correct normal distribution curve that fits these parameters from the options provided. **Graph Options:** - **Option A:** - Mean (\(\mu\)) is at 3750 grams. - The interval spans from 2760 grams to 4740 grams. - **Option B:** - Mean (\(\mu\)) is at 4245 grams. - The interval spans from 3750 grams to 4740 grams. - **Option C:** - Mean (\(\mu\)) is at 3750 grams. - The interval spans from 3255 grams to 4245 grams. - **Option D:** - Mean (\(\mu\)) is at 3255 grams. - The interval spans from 2760 grams to 3750 grams. **Explanation of the Normal Curve:** The correct graph should reflect a symmetrical bell-shaped curve centered around the mean value of 3750 grams. The standard deviation of 495 grams influences the spacing of markers on the x-axis. It helps to denote areas within one, two, and three standard deviations from the mean, capturing specific percentages of the data according to the empirical rule (68%-95%-99.7%). **Choosing the Correct Graph:** - The correct graph should have the mean at 3750 grams. - Around the mean, values should spread with intervals incorporating the standard deviation values (3750 ± 495 grams). The task requires identifying the graph that most accurately reflects these statistical attributes to illustrate the normal distribution of birth weights.
Transcribed Image Text:**Understanding Birth Weight Distribution:** When it comes to analyzing the birth weights of full-term babies, we see they fit a normal distribution pattern. This distribution is characterized by a mean (average) birth weight of 3750 grams and a standard deviation (\(\sigma\)) of 495 grams. **Task:** You are asked to select the correct normal distribution curve that fits these parameters from the options provided. **Graph Options:** - **Option A:** - Mean (\(\mu\)) is at 3750 grams. - The interval spans from 2760 grams to 4740 grams. - **Option B:** - Mean (\(\mu\)) is at 4245 grams. - The interval spans from 3750 grams to 4740 grams. - **Option C:** - Mean (\(\mu\)) is at 3750 grams. - The interval spans from 3255 grams to 4245 grams. - **Option D:** - Mean (\(\mu\)) is at 3255 grams. - The interval spans from 2760 grams to 3750 grams. **Explanation of the Normal Curve:** The correct graph should reflect a symmetrical bell-shaped curve centered around the mean value of 3750 grams. The standard deviation of 495 grams influences the spacing of markers on the x-axis. It helps to denote areas within one, two, and three standard deviations from the mean, capturing specific percentages of the data according to the empirical rule (68%-95%-99.7%). **Choosing the Correct Graph:** - The correct graph should have the mean at 3750 grams. - Around the mean, values should spread with intervals incorporating the standard deviation values (3750 ± 495 grams). The task requires identifying the graph that most accurately reflects these statistical attributes to illustrate the normal distribution of birth weights.
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