Teaching Assistants' StipendsA random sample of stipends of teaching assistants in economics is listed. Is there sufficient evidence at the = 0.05 level to conclude that the average stipend differs from $15,000? The stipends listed (in dollars) are for the academic year. Assume that the population is approximately normally distributed.

14,000 12,283 16,338 14,356

13,419 17,604 13,185 12,000

18,000 15,000 11,981 14,000

(a) State the hypotheses and identify theclaim.

H₀ : ____ $______

H₁ : ____ $______

This hypothesis test is a______ -tailed test.

(b) Find the critical values.

(c) Compute the testvalue.

(d) Make thedecision.

(e) Summarize theresults.