The annual earnings of 19 people with a high school diploma and 16 people with an associate’s degree are shown below. Can you conclude that there is a difference in the mean annual earnings based on level of education? Use α = 0.01. Assume the populations are normally distributed and the population variances are not equal.

Sample Statistics for Annual Earnings

a. Identify the claim and state H₀ and H_a.

b. Identify the level of significance α and the degrees of freedom.

c. Find the critical values and identify the rejection regions.

d. Find the standardized test statistic t. Sketch a graph.

e. Decide whether to reject the null hypothesis.

f. Interpret the decision in the context of the original claim.

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High scho Associate's diploma = $32,493 degree x2= $40,907 n2-16 1$3118 $6162 n 19