Chapter 6, Problem 19P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A consumer survey indicates that the average household spends μ = $185 on groceries each week. The distribution of spending amounts is approximately normal with a standard deviation of σ = $25. Based on this distribution.

**a.**What proportion of the population spends more than $200 per week on groceries?**b.**What is the probability of randomly selecting a family that spends less than $150 per week on groceries?**c.**How much money do you need to spend on groceries each week to be in the top 20% of the distribution

**(a)**

To determine

**To find:** The proportion of the population spends more than $200 per week on groceries.

Explanation

**Given info:**

The random variable *X* denote the average household spends and it follows the normal distribution with mean of

**Calculation:**

The formula for z score is,

Substitute the value $200 for *X*, $185 for

**(b)**

To determine

**To find:** The probability of randomly selecting family that spends less than $150 per week on groceries.

**(c)**

To determine

**To find:** The money need to spend on groceries each week to be in the top 20% of the distribution.

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