A researcher wants to know if the news station a person watches is a factor in t

Question

A researcher wants to know if the news station a person watches is a factor in the amount of time (in minutes) that they watch. The table below shows data that was collected from a survey.

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of 0.05.

Ha: At least two of the means are different from each other.

Calculate the p-Value.

p-Value =                            [ Select ]                       ["0.3254", "0.9223", "0.9110", "0.0256"]          

Conclusion:

                           [ Select ]                       ["There is sufficient evidence to support the claim that at least two of the mean times differ from each other.", "There is insufficient evidence to support the claim that at least two of the mean times differ from each other."]      

CNN Fox Local 45 15 18 62 43 37 28 68 26 38 50 60 23 31 51 55 22

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

p - Value = 0.9223

Conclusion: There is insufficient evidence to support the claim that at least two of the mean times differ from each other

Column n Mean Std. Dev. Std. Error CNN 6 41.833333 15.171245 6.1936347 Fox 6 38.166667 19.508118 7.9641558 Local 5 38.4 17.300289 7.7369245

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