### Understanding the Lengths of Human Pregnancies#### Concept OverviewHuman pregnancies typically follow a normal distribution pattern with a mean (μ) of 266 days and a standard deviation (σ) of 16 days. This means that most pregnancies will fall within a certain range around the mean.#### Analyzing the GraphThe graph provided is a normal distribution curve representing the lengths of human pregnancies. The mean (μ) is marked at 266 days, and the standard deviation (σ) is 16 days. The area between \( x = 290 \) days and \( x = 305 \) days is highlighted and is calculated to be 0.0594. This area under the curve represents a specific proportion of the data falling within this range.#### Interpretations of the Data1. **First Interpretation: Proportion of Human Pregnancies** - **Statement A:** The proportion of human pregnancies that last less than ____ or more than ____ days is ____. - **Statement B (Correct):** The proportion of human pregnancies that last between 290 and 305 days is 0.0594.2. **Second Interpretation: Probability of Human Pregnancies** - **Statement A:** The probability that a randomly selected human pregnancy lasts between ____ and ____ days is ____. - **Statement B (Correct):** The probability that a randomly selected human pregnancy lasts less than 290 or more than 305 days is 0.0594.#### Detailed Explanation of the GraphThe graph to the right depicts a bell-shaped normal distribution curve. Here are the key points:- **266 days (μ):** The center of the curve where the mean of the data lies.- **Standard Deviations:** The curve demonstrates how values deviate from the mean.- **Highlighted Area:** The area between the vertical lines at \( x = 290 \) days and \( x = 305 \) days shows the proportion of pregnancies falling within this range, which is 0.0594, or 5.94% of the total pregnancies.Understanding the normal distribution and interpreting the specific areas under the curve allows predictions about the lengths of pregnancies and their probabilities. ### Understanding Human Pregnancy Durations Using the Normal DistributionSuppose the lengths of human pregnancies are normally distributed with a mean (μ) of 266 days and a standard deviation (σ) of 16 days. Consider the following problems and their solutions:#### Problem (a):The figure to the right represents the normal curve with μ = 266 days and σ = 16 days. The area to the left of X = 245 is 0.0947. Provide two interpretations of this area.1. **First Interpretation:** Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. - (Type integers or decimals.) - ⭕ A. The proportion of human pregnancies that last less than ___ days is ___. - ⭕ B. The proportion of human pregnancies that last more than ___ days is ___.2. **Second Interpretation:** Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. - (Type integers or decimals.) - ⭕ A. The probability that a randomly selected human pregnancy lasts less than ___ days is ___. - ⭕ B. The probability that a randomly selected human pregnancy lasts more than ___ days is ___.#### Graph Explanation:The graph depicted is a bell-shaped normal distribution curve centered at X = 266 days (mean), with a shaded area to the left of X = 245 days, representing 0.0947. This shaded region corresponds to the proportion or probability of human pregnancies lasting less than 245 days.To answer the provided questions:1. For the proportion interpretation: - ⭕ A. The proportion of human pregnancies that last less than **245** days is **0.0947**. - ⭕ B. The proportion of human pregnancies that last more than **245** days is **0.9053**.2. For the probability interpretation: - ⭕ A. The probability that a randomly selected human pregnancy lasts less than **245** days is **0.0947**. - ⭕ B. The probability that a randomly selected human pregnancy lasts more than **245** days is **0.9053**.Through these interpretations, you can understand the likelihood and proportion of pregnancies deviating from the average duration, based on the normal distribution model.

Answered: Image /qna-images/answer/52e18960-5f29-409a-a29f-07d53f328ed5.jpg

Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with u = 266 days and o = 16 days. The area to the left of X =245 is 0.0947. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below'and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The proportion of human pregnancies that last less than days is. O B. The proportion of human pregnancies that last more than days is 245 266 Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts less than days is days is O B. The probability that a randomly selected human pregnancy lasts more than

Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with u = 266 days and o = 16 days. The area to the left of X =245 is 0.0947. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below'and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The proportion of human pregnancies that last less than days is. O B. The proportion of human pregnancies that last more than days is 245 266 Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts less than days is days is O B. The probability that a randomly selected human pregnancy lasts more than

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Use technology to find the indicated area under the standard Normal curve. Include an appropriately labeled sketch of the Normal curve and shade the appropriate region. a. Find the area in a standard Normal curve to the left of 1.63. b. Find the area in a standard Normal curve to the right of 1.63. Remember that the total area under the curve is 1. a. Which graph below shows the area in a standard Normal curve to the left of 1.63? A. 1.63 A graph contains a Normal curve, plotted over a horizontal axis, which extends between the left and right edges of the graph and has a peak at the horizontal center. Approximately 25% of the way from the graph’s right edge, a vertical line segment with labeled horizontal coordinate 1.63 extends from the horizontal axis to the curve. The area below the curve and to the left of the vertical line segment is shaded. Your answer is correct. B. 1.63…
Find the indicated area under the standard normal curve. To the left of z = -2.92 and to the right of z = 2.92 Dick here to view page 1 of the standard normal table Click here to view page 2 of the standard normal table
uppose the lengths of human pregnancies are normally distributed with μ=266 days and σ=16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=235 is 0.0263. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The proportion of human pregnancies that last more than nothing days is nothing. B. The proportion of human pregnancies that last less than days is X 266 235 A normal curve has a horizontal axis labeled "X" and two horizontal coordinates, 235 and 266. The curve's peak is near the top of the graph at horizontal coordinate 266. Two vertical line segments run from the horizontal axis to the curve at 235 and 266. The area under the curve to…
Note: please don’t use excel.
please answer all subparts
Can you help me with d?
Calculate the Standard Score of the given x value. X=91, where N=84,5 and 0 = 79.7 Round your Cinswer to two elecimal places
Second interpretation
Help
Construct a normal quantile-quantile plot of the values provided in the accompanying data set, which represent the diameters of 36 rivet heads in 1/100 of an inch. Click the icon to view the diameter data. .... . Choose the correct graph below. OA. В. Normal Quantile-Quantile Plot Normal Quantile-Quantile Plot 5.95- 5.85- 5.75- 5.65- 0.2 0.4 0.6 0.8 1 5.65 5.75 5.85 5.95 Theoretical Quantities Theoretical Quantities C. D. Normal Quantile-Quantile Plot Normal Quantile-Quantile Plot 5.95- 11 5.85- 0.5- 5.75- • 000 5.65- -2 어 5.65 -1 1 5.75 5.85 5.95 Theoretical Quantities Theoretical Quantities Diameter data 5.83 5.77 5.81 5.73 5.73 5.75 5.85 5.84 5.83 5.89 5.71 5.83 5.71 5.81 5.87 5.81 5.84 5.74 5.83 5.84 5.78 5.76 5.71 5.87 5.82 5.78 5.75 5.82 5.89 5.79 Help me solve this View an example Get n 5.71 5.85 5.85 5.78 5.76 5.71 Sample Quantities Sample Quantities Sample Quantities Sample Quantities
I Finding. Find the area and sketch of the normal aurve in each of the following cases. 1. to the right ofz= 0.89 2. to the left of z=0.85 3. tetween z= 0 and z= -1.78
Answer number 4 and 5