Question

A soup maker says that in average, one serving of a certain chicken noodle soup contains no more than 1580 mg of sodium with the standard deviation of 48 milligrams. A sample of 21 servings showed an average of 1598 mg of sodium per serving.

1. State the null and alternative hypotheses and identify which represents the claim.

2. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Explain your reasoning and sketch the graph of the problem.

3. Find the p-value, using ZTest.

4. Explain how you should interpret your decision about the null hypothesis.

5. Your conclusion?

Answer 1

Solution :

= 1580

=1598

S =48

n = 21

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 1580

Ha : >1580

Test statistic = t

= ( - ) / S / n

= (1598 - 1580 ) / 48 / 21

= 1.718

Test statistic = t = 1.718

P-value =0.0506