The manufacturers of Oriental Spice Sauce are concerned that the sodium levels in their product vary too much. A package of the sauce is supposed to contain 1000 mg of sodium with a standard deviation of 50 mg. A sample of 30 packages was analyzed and the sample standard deviation was 51.1691 mg. Is there evidence at α = 0.025 that the standard deviation of the sodium content exceeds the desired level? Assume the population is normally distributed. Step 1 of 5: State the null and alternative hypotheses. Round to four decimal places when necessary.
Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.
Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places.
Step 4 of 5: Make the decision.
Step 5 of 5: What is the conclusion?