From 1776-1800, the average age of first marriage for a male in Western Europe was 27.1 years, with a standard deviation of 7.8 years. Assume the ages are normally distributed. The 75% of Western European males that were oldest when they were first married were older than what age? Give the z-score needed to calculate the result. -1.9167 x 75% of Western European males were first married after they were 14.1 old. x years
From 1776-1800, the average age of first marriage for a male in Western Europe was 27.1 years, with a standard deviation of 7.8 years. Assume the ages are normally distributed. The 75% of Western European males that were oldest when they were first married were older than what age? Give the z-score needed to calculate the result. -1.9167 x 75% of Western European males were first married after they were 14.1 old. x years
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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Transcribed Image Text:**Title: Historical Age of First Marriage for Males in Western Europe (1776-1800)**
**Overview:**
From 1776 to 1800, the average age at which males in Western Europe first married was 27.1 years. The standard deviation for this data is 7.8 years. Assuming that the ages are normally distributed, we explore at what age 75% of Western European males were older when they first married.
**Statistical Analysis:**
1. **Z-Score Calculation:**
- The z-score needed for determining the age at which 75% of the population was first married is **-1.9167**.
2. **Age Calculation:**
- **75%** of Western European males first married after they were **14.1 years** old.
This analysis uses the properties of the normal distribution to determine the age at which the top 25% of males were first married, based on historical data.
Expert Solution

Step 1
Given information-
Population Mean µ = 27.1 years
Standard deviation (σ) = 7.8 years
Let X be the ages that are normally distributed.
We have to find that the age of the 75% of Western European males was the oldest when they were first married.
Step by step
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