The manufacturers of Oriental Spice Sauce are concerned that the sodium levels in their products vary too much. A package of the sauce is supposed to contain 1100⁢mg of sodium with a standard deviation of 120⁢mg. A sample of 12 packages was analyzed and the sample mean was 1120⁢mg and the sample standard deviation was 243.318⁢mg. Is there evidence at α=0.01 that variation exceeds the desired level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation 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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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The manufacturers of Oriental Spice Sauce are concerned that the sodium levels in their products vary too much. A package of the sauce is supposed to contain 1100⁢mg of sodium with a standard deviation of 120⁢mg. A sample of 12 packages was analyzed and the sample mean was 1120⁢mg and the sample standard deviation was 243.318⁢mg. Is there evidence at α=0.01 that variation exceeds the desired level?

Step 1 of 5 :

State of the hypotheses in terms of the standard deviation. Round the standard deviation 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?

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