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Chapter 4: Q AP1.6. (page 277)

The figure below shows a Normal density curve. Which of the following gives the best estimates for the mean and standard deviation of this Normal distribution?

(a)渭=200,蟽=50(d)渭=225,蟽=25(b)渭=200,蟽=25(e)渭=225,蟽=275(c)渭=225,蟽=50

Short Answer

Expert verified

The correct option is(c)渭=225,蟽=50

Step by step solution

01

Given information

02

Concept

Observational research looks at people and assesses factors of interest without trying to affect their responses.

03

Calculation

The middle number on the x-axis around which the normal density curve is symmetrical is obtained since the curve is symmetrical about the mean. For this, a perpendicular from the curve's peak is drawn, cutting the x-axis at 225, the mean. 99.7%of the observations fell within this range. The area between 225and 375is 150since the curve is symmetrical.

渭=2253蟽=375鈭�225=150蟽=50

As a result, the best estimates for the normal distribution's mean and standard deviation are:渭=225,蟽=50

As a result, the solution is an option (c).

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