Question

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 state the null hypotheses a. ( h_{0}: mu 1=mu 2=mu 3=mu 4=mu 5 ) b. ( h_{0}: mu 1=mu 2=mu 3=mu 4 ) c. ( h_{0}: mu 1=mu 2=mu 3 ) d. ( h_{0}: mu 1=mu 2 )

Explanation:

The null hypothesis in an ANOVA (Analysis of Variance) test (which is appropriate here as we are comparing means across multiple groups - Northeast, South, West, Central, East) states that all population means are equal. Here, we have 5 regions, so the null hypothesis should involve all 5 means.

Answer:

A. \(H_0:\mu1 = \mu2=\mu3=\mu4=\mu5\)