Question

In: Statistics and Probability

The annual earnings of 25 people with a high school diploma and 16 people with an...

  1. The annual earnings of 25 people with a high school diploma and 16 people with an associate degree are shown below. Can you conclude that there is a difference in the mean annual earnings based on level of education? Assume that population are normally distributed and population variances are not equal.

High school diploma

Associate degree

x1=$36,875

x2=$44,900

s1=$5475

s2=$8580

n1=25

n2=16

  1. Identify the claim and state the null and alternative hypothesis.

  1. What type of statistical test should be used to answer the researcher’s question?

(Note: Is this a z-test or a t-test? One sample, dependent sample or independent sample)

  1. Find the standardized test statistic and corresponding critical value(s).
  1. At 0.05 significance level, decide whether to reject or fail to reject the null hypothesis.
  2. Interpret the decision in the context of the original claim.

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