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 150⁢mg. A sample of 14 packages was analyzed and the sample standard deviation was 59.0551⁢mg. Is there evidence at α=0.01 that the standard deviation of the sodium content has changed from the desired level? Assume the population is normally distributed. 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 :

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 150⁢mg. A sample of 14 packages was analyzed and the sample standard deviation was 59.0551⁢mg. Is there evidence at α=0.01 that the standard deviation of the sodium content has changed from the desired level? Assume the population is normally distributed.

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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