Question: A researcher estimates that high school girls miss more days of school than high school boys. A sample of 16 girls showed that they missed an average of 3.9 days of school per school year; a sample of 22 boys showed that they missed an average of 3.6 days of school per year. The standard deviations are 0.6 and 0.8 respectively. At a significance level of 0.01, is there enough evidence to support the researcher's claim.

State the hypotheses and identify the claim, find the critical value(s), compute the test value, make the decision, summarize the results.