An education publication claims that the mean expenditure per student in public elementary and secondary schools is more than $12,000. You want to test this claim. You randomly select 16 school districts and find the average expenditure per student. The results are listed below. At α = 0.01, can you support the publication's claim?

(a) Identify the claim and state H0 and Ha,
(b) Use technology to find the P-value,
(c) Decide whether to reject or fail to reject the null hypothesis,
(d) Interpret the decision in the context of the original claim. Assume the population is normally distributed.

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11,947 13,562 13,082 11,640 12,250 12,679 12,552 13,346 12,069 12,862 12,489 12,667 12,770 12,556 12,468 12,674