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60. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.

	Northeast	South	West	Central	East
	16.3	16.9	16.4	16.2	17.1
	16.1	16.5	16.5	16.6	17.2
	16.4	16.4	16.6	16.5	16.6
	16.5	16.2	16.1	16.4	16.8
$\stackrel{¯}{x}=$	-------------------	-------------------	-------------------	-------------------	-------------------
$s^2=$	-------------------	-------------------	-------------------	-------------------	-------------------

State the hypotheses.
$H_0:-----$
$H_a:-----$

13.2 The F Distribution and the F-Ratio
Use the following information to answer the next three exercises. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.

	Northeast	South	West	Central	East
	16.3	16.9	16.4	16.2	17.1
	16.1	16.5	16.5	16.6	17.2
	16.4	16.4	16.6	16.5	16.6
	16.5	16.2	16.1	16.4	16.8
	--------------------	--------------------	-------------------	-------------------	-----------------
	--------------------	--------------------	-------------------	-------------------	-----------------

$H_0:{\mathrm{μ}}_1={\mathrm{μ}}_2={\mathrm{μ}}_3={\mathrm{μ}}_4={\mathrm{μ}}_5$
$H\mathrm{Î\pm }$: At least any two of the group means ${\mathrm{μ}}_1,{\mathrm{μ}}_2,…,{\mathrm{μ}}_5$ are not equal.

Step by step solution

01

Given information

A group is interested in determining whether teenagers obtain their driver's licenses at approximately the same average age. And they are collected from five teenagers in each country region. The numbers represent the age at which teenagers obtained their driver's licenses.

02

Explanation

The null hypothesis is a statistical theory that states that no statistical link or significance exists between two collections of observational data and measured events in a given single observed variable.

The null hypothesis that there is no significant distinction between the teenager's driving licenses
The alternative hypothesis is one of the hypothesis test's offered propositions in statistical hypothesis testing.

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