30. In an effort to make a healthier product, the Oriental SpiceSauce company has reduced the amount of sodium in their product to800mg. In addition, the standard deviation of the amount of sodiumshould be 80. To make sure this new product continues to meet thestandard, a random sample of 24 bottles is taken, and the standarddeviation for the sample was 120.7812. Is there evidence at ?=0.025that the standard deviation of the sodium content exceeds thedesired level? Assume the population is normally distributed.
Step 1 of 5: State the null and alternative hypotheses. Round tofour decimal places when necessary.
H0:
Ha:
Step 2 of 5: Determine the critical value(s) of the teststatistic. If the test is two-tailed, separate the values with acomma. Round your answer to three decimal places.
Step 3 of 5: Determine the value of the test statistic. Roundyour answer to three decimal places.
Step 4 of 5: Make the decision.
A. Reject Null Hypothesis
B. Fail to Reject Null Hypothesis
Step 5 of 5: What is the conclusion?
A. There is sufficient evidence to show that the standarddeviation of the sodium content exceeds the desired level.
B. There is not sufficient evidence to show that the standarddeviation of the sodium content exceeds the desired level.