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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 O B. The probability that a randomly selected human pregnancy lasts more than days is

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 O B. The probability that a randomly selected human pregnancy lasts more than days is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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### Analysis of Human Pregnancy Lengths using Normal Distribution **Problem Context:** Suppose the lengths of human pregnancies are normally distributed with a mean (\(\mu\)) of 266 days and a standard deviation (\(\sigma\)) of 16 days. We will analyze parts (a) and (b) below: **Part (a):** The figure to the right represents the normal distribution curve with a mean (\(\mu\)) of 266 days and a standard deviation (\(\sigma\)) of 16 days. The area to the left of \(X = 245\) days is 0.0947. We are to provide two interpretations of this area. **Interpretation 1:** 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. - **A.** The proportion of human pregnancies that last less than 245 days is \(\_\_\_\) days is \(\_\_ \). - **B.** The proportion of human pregnancies that last more than 245 days is \(\_\_\_\) days is \(\_\_ \). **Interpretation 2:** 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. - **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 \(\_\_ \). **Diagram Description:** The diagram to the right is a bell curve (normal distribution graph). The mean (\(\mu\)) is marked at 266 days on the horizontal axis. The standard deviation (\(\sigma\)) is illustrated by the spread of the curve. A shaded area to the left of \(X = 245\) days indicates the cumulative probability value of 0.0947. **Detail of Graph:** 1. **Bell Curve:** Represents a normal distribution. 2. **Mean (266 days):** Central value around which the pregnancy lengths are distributed. 3. **Standard Deviation (16 days):** Measure of spread around the mean. 4. **Shaded Area (left of 245 days):** Represents 0.0947, the proportion/probability of pregnancies lasting less than 245 days
Transcribed Image Text:### Analysis of Human Pregnancy Lengths using Normal Distribution **Problem Context:** Suppose the lengths of human pregnancies are normally distributed with a mean (\(\mu\)) of 266 days and a standard deviation (\(\sigma\)) of 16 days. We will analyze parts (a) and (b) below: **Part (a):** The figure to the right represents the normal distribution curve with a mean (\(\mu\)) of 266 days and a standard deviation (\(\sigma\)) of 16 days. The area to the left of \(X = 245\) days is 0.0947. We are to provide two interpretations of this area. **Interpretation 1:** 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. - **A.** The proportion of human pregnancies that last less than 245 days is \(\_\_\_\) days is \(\_\_ \). - **B.** The proportion of human pregnancies that last more than 245 days is \(\_\_\_\) days is \(\_\_ \). **Interpretation 2:** 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. - **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 \(\_\_ \). **Diagram Description:** The diagram to the right is a bell curve (normal distribution graph). The mean (\(\mu\)) is marked at 266 days on the horizontal axis. The standard deviation (\(\sigma\)) is illustrated by the spread of the curve. A shaded area to the left of \(X = 245\) days indicates the cumulative probability value of 0.0947. **Detail of Graph:** 1. **Bell Curve:** Represents a normal distribution. 2. **Mean (266 days):** Central value around which the pregnancy lengths are distributed. 3. **Standard Deviation (16 days):** Measure of spread around the mean. 4. **Shaded Area (left of 245 days):** Represents 0.0947, the proportion/probability of pregnancies lasting less than 245 days
### Analysis of Human Pregnancy Lengths **Given Information:** Suppose the lengths of human pregnancies are normally distributed with μ = 266 days and σ = 16 days. **Task:** Complete parts (a) and (b) below: ### Part (b) **Figure Description:** The figure to the right represents the normal curve with: - Mean (μ) = 266 days - Standard Deviation (σ) = 16 days The area between x = 290 and x = 305 is 0.0594. **Interpretations to Provide:** 1. **First Interpretation Using Given Values:** Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) **Choices:** - ☐ A. The proportion of human pregnancies that last less than ___ or more than ___ days is ___. - ☑ B. The proportion of human pregnancies that last between ___ and ___ days is ___. 2. **Second Interpretation Using Given Values:** Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) **Choices:** - ☐ A. The probability that a randomly selected human pregnancy lasts between ___ and ___ days is ___. - ☐ B. The probability that a randomly selected human pregnancy lasts less than ___ or more than ___ days is ___. **Graph Description:** The graph on the right shows a normal distribution curve centered at x = 266 days. The area shaded under the curve represents the probability of pregnancies lasting between 290 and 305 days. ### Filling the Values: **First Interpretation:** - Option B is selected. **Proportion of Human Pregnancies Interpretation:** - The proportion of human pregnancies that last between 290 and 305 days is 0.0594. **Second Interpretation:** - Choose either A or B based on similar interpretation: **Probability of Human Pregnancies Interpretation:** - The probability that a randomly selected human pregnancy lasts between 290 and 305 days is 0.0594.
Transcribed Image Text:### Analysis of Human Pregnancy Lengths **Given Information:** Suppose the lengths of human pregnancies are normally distributed with μ = 266 days and σ = 16 days. **Task:** Complete parts (a) and (b) below: ### Part (b) **Figure Description:** The figure to the right represents the normal curve with: - Mean (μ) = 266 days - Standard Deviation (σ) = 16 days The area between x = 290 and x = 305 is 0.0594. **Interpretations to Provide:** 1. **First Interpretation Using Given Values:** Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) **Choices:** - ☐ A. The proportion of human pregnancies that last less than ___ or more than ___ days is ___. - ☑ B. The proportion of human pregnancies that last between ___ and ___ days is ___. 2. **Second Interpretation Using Given Values:** Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) **Choices:** - ☐ A. The probability that a randomly selected human pregnancy lasts between ___ and ___ days is ___. - ☐ B. The probability that a randomly selected human pregnancy lasts less than ___ or more than ___ days is ___. **Graph Description:** The graph on the right shows a normal distribution curve centered at x = 266 days. The area shaded under the curve represents the probability of pregnancies lasting between 290 and 305 days. ### Filling the Values: **First Interpretation:** - Option B is selected. **Proportion of Human Pregnancies Interpretation:** - The proportion of human pregnancies that last between 290 and 305 days is 0.0594. **Second Interpretation:** - Choose either A or B based on similar interpretation: **Probability of Human Pregnancies Interpretation:** - The probability that a randomly selected human pregnancy lasts between 290 and 305 days is 0.0594.
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