Refer to the following for Questions 1-4:

It is recommended by the FDA that sodium intake for adults be less than 2300 mg per day. Assuming normality of the population distribution, test the claim that a sample of size 17 with x bar= 3286, = 604.22 has a mean sodium intake that is different than 2300 mg per day using a 5% significance level.

1. What are the null and alternative hypotheses?
2. What is the critical value for this test?
3. What is the decision you should make based on the test statistic and critical value? Reject null or fail to reject?
4. Calculate a 95% confidence interval for the population mean.