A soup maker says that the standard deviation of the sodium content in one serving of a certain soup is no more than 50 milligrams.

(a) State the null and alternative hypotheses, and identify which represents the claim,

(b) Describe type I and type II errors for a hypothesis test of the claim,

(c) Explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed,

(d) Explain how you should interpret a decision that rejects the null hypothesis,

(e) Explain how you should interpret a decision that fails to reject the null hypothesis.