Please label each part. **Height and Weight Measurement for Child Development**Height and weight are two critical measurements used to monitor a child's development. Organizations assess child development by comparing weights among children of the same height and gender. In a specific year, data for 80 cm tall girls in the reference population showed a mean weight (μ) of 11.8 kg and a standard deviation (σ) of 0.4 kg. The weights are normally distributed, denoted as $X \sim N(11.8, 0.4)$.**Task: Calculate and Interpret Z-Scores**Calculate the z-scores for the following weights and interpret them. Round your answers to two decimal places.1. **(a) 12.2 kg** - $ z = $ - Interpretation: A child who weighs 12.2 kg is ___ standard deviation(s) above the mean of 11.8 kg.2. **(b) 10.7 kg** - $ z = $ - Interpretation: A child who weighs 10.7 kg is ___ standard deviation(s) below the mean of 11.8 kg.3. **(c) 12.8 kg** - $ z = $ - Interpretation: A child who weighs 12.8 kg is ___ standard deviation(s) above the mean of 11.8 kg.**Instructions:**- Fill in the calculated z-scores in the blanks provided.- Determine if the weight is above or below the mean using standard deviation units.This exercise includes dropdowns for selecting "above" or "below" to interpret whether the given weight is above or below the mean.

All answers are highlighted in red. The z-score is a measure of how far the standard deviations is…

Height and weight are two measurements used to track a child's development. An organization measures child development by comparing the weights of children who are the same height and the same gender. In a certain year, weights for all 80 cm girls in the reference population had a mean u = 11.8 kg and standard deviation o = 0.4 kg. Weights are normally distributed. X ~ N(11.8, 0.4). Calculate the z-scores that correspond to the following weights and interpret them. (Round your numerical answers to two decimal places.) (a) 12.2 kg z = A child who weighs 12.2 kg is standard deviation(s) above the mean of 11.8 kg. (b) 10.7 kg z = A child who weighs 10.7 kg is standard deviation(s) below the mean of 11.8 kg. (c) 12.8 kg z = A child who weighs 12.8 kg is standard deviation(s) above the mean of 11.8 kg.

Height and weight are two measurements used to track a child's development. An organization measures child development by comparing the weights of children who are the same height and the same gender. In a certain year, weights for all 80 cm girls in the reference population had a mean u = 11.8 kg and standard deviation o = 0.4 kg. Weights are normally distributed. X ~ N(11.8, 0.4). Calculate the z-scores that correspond to the following weights and interpret them. (Round your numerical answers to two decimal places.) (a) 12.2 kg z = A child who weighs 12.2 kg is standard deviation(s) above the mean of 11.8 kg. (b) 10.7 kg z = A child who weighs 10.7 kg is standard deviation(s) below the mean of 11.8 kg. (c) 12.8 kg z = A child who weighs 12.8 kg is standard deviation(s) above the mean of 11.8 kg.

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Please label each part.

**Height and Weight Measurement for Child Development**

Height and weight are two critical measurements used to monitor a child's development. Organizations assess child development by comparing weights among children of the same height and gender. In a specific year, data for 80 cm tall girls in the reference population showed a mean weight (μ) of 11.8 kg and a standard deviation (σ) of 0.4 kg. The weights are normally distributed, denoted as $X \sim N(11.8, 0.4)$.

**Task: Calculate and Interpret Z-Scores**

Calculate the z-scores for the following weights and interpret them. Round your answers to two decimal places.

1. **(a) 12.2 kg**
- $ z = $
- Interpretation: A child who weighs 12.2 kg is ___ standard deviation(s) above the mean of 11.8 kg.

2. **(b) 10.7 kg**
- $ z = $
- Interpretation: A child who weighs 10.7 kg is ___ standard deviation(s) below the mean of 11.8 kg.

3. **(c) 12.8 kg**
- $ z = $
- Interpretation: A child who weighs 12.8 kg is ___ standard deviation(s) above the mean of 11.8 kg.

**Instructions:**
- Fill in the calculated z-scores in the blanks provided.
- Determine if the weight is above or below the mean using standard deviation units.

This exercise includes dropdowns for selecting "above" or "below" to interpret whether the given weight is above or below the mean.

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