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(Solved): Performing a One-Way ANOVA Test In Exercises 5-14, (a) identify the claim and state H0 and Ha ...



Performing a One-Way ANOVA Test In Exercises 5-14, (a) identify the claim and state \( H_{0} \) and \( H_{a} \), (b) find the
Performing a One-Way ANOVA Test In Exercises 5-14, (a) identify the claim and state and , (b) find the critical value and identify the rejection region, (c) find the test statistic , (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. 10. Cost Per Mile The table shows the costs per mile (in cents) for a sample of automobiles. At , can you conclude that at least one mean cost per mile is different from the others? (Adapted from American Automobile Association)


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Solution:

we have to test that at least one mean cost per mile is different from the others

test hypothesis is as follows


  

   At least one mean is not equal to others.

now we perform one-way ANOVA for testing:

  
  
the p-value is less than the level of significance   



here we stated that atleast one mean cost per mile is different from others



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