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

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**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.
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.

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