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Chapter 12: Q. 2 (page 520)

Regarding a x2-curve:

Part (a): At what point on the horizontal axis does the curve begin?

Part (b): Classify its shape as symmetric, left skewed, or right skewed.

Part (c): As the number of degrees of freedom increases, a x2-curve begins to look like another type of curve. What type of curve is that?

Short Answer

Expert verified

Part (a): The curve x2starts at 0on the horizontal axis.

Part (b): The shape of the curve x2is right skewed.

Part (c): It will be a normal type of curve.

Step by step solution

01

Part (a) Step 1. Starting point of the curve.

Regarding thex2-curve,

A x2-curve starts at 0on the horizontal axis and extends indefinitely to the right, approaching but never touching, the horizontal axis.

02

Part (b) Step 1. Classify the shape of the curve.

Regarding the x2-curve,

The x2 has a right skewed shape.

03

Part (c) Step 1. What if the number of degrees of freedom increases.

Regarding the x2- curve,

As the number of degrees of freedom increases, x2- curves looks like increasingly normal curves.

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Most popular questions from this chapter

Primary Heating Fuel. According to Current Housing Reports, published by the U.S. Census Bureau, the primary heating fuel for all occupied housing units is distributed as follows.

Suppose that you want to determine whether the distribution of primary heating fuel for occupied housing units built after 2010 differs from that of all occupied housing units. To decide, you take a random sample of housing units built after 2010 and obtain a frequency distribution of their primary heating fuel.

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c. Strictly speaking, what is the smallest sample size for which conducting a chi-square goodness-of-fit test is appropriate?

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At the 1%significance level, do the data provide sufficient evidence to conclude that a difference exists in race distributions among the four U.S. regions?

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In each of the given Exercises, we have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 on page 506 to be satisfied. Note: The number of cells for a contingency table with m rows and n columns is m⋅n.

12.71 two and three
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