Massachusetts’ records show that the average household income was $ 69, 000 in 5 years ago. The state governor wants to claim that the average income has increased since 5 years ago. The state office surveyed 120 household income randomly and get a average household income $ 74, 000. Assume that the standard deviation(s) of the average household income has not been affected by the addition of the polymer and is still $ 15000. Can the state governor claim that the average household income has a statistically significant increase compare to five years ago? Use the one-sided alternative test at the significance level α = 0.05.
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