37 4245 740 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. A. В. C. D. 3750 4245 195s 3750 424s 2760 * 375o 2760 4740 3750 4740 (b) Shade the region that represents the proportion of full-term babies who weigh more than 4740 grams. Choose the correct graph below. A. В. C. D. 2200 3750 4740 3255 2760 *** 3750 3750 4245 4740 3255 (c) Suppose the area under the normal curve to the right of X = 4740 is 0.0228. Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) O A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than grams. O B. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than grams.
37 4245 740 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. A. В. C. D. 3750 4245 195s 3750 424s 2760 * 375o 2760 4740 3750 4740 (b) Shade the region that represents the proportion of full-term babies who weigh more than 4740 grams. Choose the correct graph below. A. В. C. D. 2200 3750 4740 3255 2760 *** 3750 3750 4245 4740 3255 (c) Suppose the area under the normal curve to the right of X = 4740 is 0.0228. Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) O A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than grams. O B. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than grams.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:**Normal Distribution of Birth Weights for Full-Term Babies**
**Overview:**
The birth weights of full-term babies are assumed to follow a normal distribution with a mean of 3750 grams and a standard deviation of 495 grams. Below are exercises that illustrate how to represent and interpret this distribution graphically.
**Part (a): Drawing a Normal Curve**
You are tasked with identifying the correct normal distribution curve with specified parameters.
- **Graph Options:**
- **A.** The normal curve labels are 2760, 3750, 4740.
- **B.** The normal curve labels are 3750, 4245, 4740.
- **C.** The normal curve labels are 3255, 3750, 4245.
- **D.** The normal curve labels are 2760, 3255, 3750.
**Correct Answer:**
The correct graph for this scenario is **A.** This graph shows a normal distribution with the mean (3750) and appropriate standard deviation intervals (mean ± standard deviations).
**Part (b): Shading the Region for Babies Weighing More than 4740 Grams**
Identify the graph that correctly shows the shaded area representing the proportion of babies weighing more than 4740 grams.
- **Graph Options:**
- **A.** No shaded area beyond 4740 grams.
- **B.** Shaded area from 4740 grams to the right.
- **C.** Shaded area from 2760 grams to 3750 grams.
- **D.** Shaded area from 3255 grams to 4740 grams.
**Correct Answer:**
The correct graph is **B.** The shaded region represents the upper tail of the distribution, indicating babies weighing more than 4740 grams.
**Part (c): Interpreting the Area under the Curve**
Suppose the area under the normal curve to the right of \(X = 4740\) is 0.0228. Provide an interpretation of this probability value.
**Choices:**
- **A.** The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than ____ grams.
- **B.** The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than ____ grams
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman