9The weights for a group of 18-month-old girls are normally distributed with a mean of 24.7pounds and a standard deviation of 2.2 pounds. Use the given table to find the percentage of 18-month-old girls who weigh between 22.2 and 23.1 pounds. z-score-3.0-2.9-2.8-2.7-2.6-2.5-2.4-2.3-2.2-2.1Percentile0.130.190.260.350.470.620.821.071.391.79z-score-2.0-1.9-1.8-1.7-1.6-1.5-1.4-1.3-1.2-1.1Percentile2.282.873.594.465.486.688.089.6811.5113.57z-score-1.0-0.9-0.8-0.7-0.6-0.5-0.4-0.3-0.2-0.1Percentile15.8718.4121.1924.2027.4330.8534.4638.2142.0746.02 ________% of 18-month-old girls weigh between 22.2 and 23.1 pounds.(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)

Given: Population meanμ=24.7Population standard deviationσ=2.2 Consider, X be the random variable…

Answered: he weights for a group of 18-month-old…

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

Related questions

Concept explainers

Question

The weights for a group of 18-month-old girls are normally distributed with a mean of 24.7pounds and a standard deviation of 2.2 pounds. Use the given table to find the percentage of 18-month-old girls who weigh between 22.2 and 23.1 pounds.

z-score	-3.0	-2.9	-2.8	-2.7	-2.6	-2.5	-2.4	-2.3	-2.2	-2.1
Percentile	0.13	0.19	0.26	0.35	0.47	0.62	0.82	1.07	1.39	1.79
z-score	-2.0	-1.9	-1.8	-1.7	-1.6	-1.5	-1.4	-1.3	-1.2	-1.1
Percentile	2.28	2.87	3.59	4.46	5.48	6.68	8.08	9.68	11.51	13.57
z-score	-1.0	-0.9	-0.8	-0.7	-0.6	-0.5	-0.4	-0.3	-0.2	-0.1
Percentile	15.87	18.41	21.19	24.20	27.43	30.85	34.46	38.21	42.07	46.02

________% of 18-month-old girls weigh between 22.2 and 23.1 pounds.

(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions