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Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 13% and highest 13%, indicating levels that are too low or too high, respectively Sketch the region. Choose the correct graph below. OA. OB. CETER The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed) OC. OD.

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 13% and highest 13%, indicating levels that are too low or too high, respectively Sketch the region. Choose the correct graph below. OA. OB. CETER The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed) OC. OD.

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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**Bone Density Test Scores and Normal Distribution** Assume that a randomly selected subject is given a bone density test. These test scores are normally distributed with a mean of 0 and a standard deviation of 1. Based on this distribution, identify the cutoff values that delineate the lowest 13% and highest 13%, representing scores that are considered too low or too high, respectively. **Instructions:** 1. Sketch the region which represents these cutoff points. 2. Choose the correct graph from the options provided below. **Graph Options:** - **Option A:** - The graph shows a normal distribution where the shaded areas on both tails of the distribution curve represent the critical regions below \( -z_{\alpha} \) and above \( z_{\alpha} \). - **Option B:** - This graph features a normal curve with the central region shaded, indicating values that fall within \(-z_{\alpha}\) and \( z_{\alpha} \). - **Option C:** - Similar to Option A, this graph displays a normal distribution with shaded tails, marking the cutoff points below \( -z_{\alpha} \) and above \( z_{\alpha} \). - **Option D:** - This illustration also highlights the tails of the distribution, but it may differ in the exact location of shading compared to the other options. **Complete the Statement Below:** The bone density scores are _____. **Note:** Use a comma to separate the answers as needed, and round each value to two decimal places.
Transcribed Image Text:**Bone Density Test Scores and Normal Distribution** Assume that a randomly selected subject is given a bone density test. These test scores are normally distributed with a mean of 0 and a standard deviation of 1. Based on this distribution, identify the cutoff values that delineate the lowest 13% and highest 13%, representing scores that are considered too low or too high, respectively. **Instructions:** 1. Sketch the region which represents these cutoff points. 2. Choose the correct graph from the options provided below. **Graph Options:** - **Option A:** - The graph shows a normal distribution where the shaded areas on both tails of the distribution curve represent the critical regions below \( -z_{\alpha} \) and above \( z_{\alpha} \). - **Option B:** - This graph features a normal curve with the central region shaded, indicating values that fall within \(-z_{\alpha}\) and \( z_{\alpha} \). - **Option C:** - Similar to Option A, this graph displays a normal distribution with shaded tails, marking the cutoff points below \( -z_{\alpha} \) and above \( z_{\alpha} \). - **Option D:** - This illustration also highlights the tails of the distribution, but it may differ in the exact location of shading compared to the other options. **Complete the Statement Below:** The bone density scores are _____. **Note:** Use a comma to separate the answers as needed, and round each value to two decimal places.
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