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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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:

 

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 

Listen

What 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 

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.

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