SCENARIO 7Suppose 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. Use a level of significance of 0.10. Northeast South West Central16.3 16.9 16.4 16.2 16.1 16.5 16.5 16.6 16.4 16.4 23.0 16.5 16.5 16.2 20.2 16.4 Question 45 ListenWhich test are you running?Question 45 options: ANOVA Chi-Square Goodness of Fit One mean t-test One-mean z-testQuestion 46 ListenWhat is the null hypothesis? Question 46 options: Ho:The mean ages for teenagers obtaining their drivers licenses are approximately the same average age across the country. Ho: At least one of the mean ages for teenagers obtaining their drivers licenses is different from the average age across the country. Question 47 ListenWhat is the alternative hypothesis?Question 47 options: Ha: At least one of the mean ages for teenagers obtaining their drivers licenses is different from the average age across the country. . Ha:The mean ages for teenagers obtaining their drivers licenses are approximately the same average age across the country.Question 48 ListenWhat is test statistic? Please answer with two decimal places. Question 48 options: Question 49 ListenWhat is the p-value? Please answer with three decimal places. Question 49 options: Question 50 ListenWhat is the conclusion when you compare the p-value and the level of significance (alpha)?Question 50 options: Fail to reject the null hypothesis Reject the null hypothesisQuestion 51 ListenWhat is the conclusion based on the original claim?Question 51 options: At the 0.10 level of significance, the mean ages for teenagers obtaining their drivers licenses are approximately the same average age across the country. At the 0.10 level of significance, the mean ages for teenagers obtaining their drivers licenses are not approximately the same average age across the country.

Answered: Suppose a group is interested in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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SCENARIO 7

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. Use a level of significance of 0.10.

Northeast South West Central

16.3 16.9 16.4 16.2

16.1 16.5 16.5 16.6

16.4 16.4 23.0 16.5

16.5 16.2 20.2 16.4

Question 45

Listen

Which test are you running?

Question 45 options:

	ANOVA
	Chi-Square Goodness of Fit
	One mean t-test
	One-mean z-test

Question 46

Listen

What is the null hypothesis?

Question 46 options:

	H_o:The mean ages for teenagers obtaining their drivers licenses are approximately the same average age across the country.
	H_o: At least one of the mean ages for teenagers obtaining their drivers licenses is different from the average age across the country.

Question 47

Listen

What is the alternative hypothesis?

Question 47 options:

	H_a: At least one of the mean ages for teenagers obtaining their drivers licenses is different from the average age across the country. .
	H_a:The mean ages for teenagers obtaining their drivers licenses are approximately the same average age across the country.

Question 48

Listen

What is test statistic? Please answer with two decimal places.

Question 48 options:

Question 49

Listen

What is the p-value? Please answer with three decimal places.

Question 49 options:

Question 50

Listen

What is the conclusion when you compare the p-value and the level of significance (alpha)?

Question 50 options:

	Fail to reject the null hypothesis
	Reject the null hypothesis

Question 51

Listen

What is the conclusion based on the original claim?

Question 51 options:

	At the 0.10 level of significance, the mean ages for teenagers obtaining their drivers licenses are approximately the same average age across the country.
	At the 0.10 level of significance, the mean ages for teenagers obtaining their drivers licenses are not approximately the same average age across the country.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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