Question

The nutrition label for Oriental Spice Sauce states that one package of sauce has 1240 milligrams of sodium. to determine if the label is accurate, the FDA randomly selects 190 packages of oriental spice sauce and determines the sodium content. the sample has an average of 1187.54 milligrams of sodium per package with a sample standard deviation of 234.32 milligrams.

Step 1: Calculate a 99% confidence interval for the mean sodium content in oriental spice sauce

Step 2: Using the confidence interval approach, is there evidence that the sodium content is different from what the nutrition label states?

Answer #1

The nutrition label for Oriental Spice Sauce states that one
package of sauce has 1000 milligrams of sodium. To determine if the
label is accurate, the FDA randomly selects 120 packages of
Oriental Spice Sauce and determines the sodium content. The sample
has an average of 1002.51 milligrams of sodium per package with a
sample standard deviation of 230.57 milligrams.
Step 1 of 2 :
Calculate a 95%95% confidence interval for the mean sodium
content in Oriental Spice Sauce.

The nutrition label for Oriental Spice Sauce states that one
package of sauce has 1010 milligrams of sodium. To determine if the
label is accurate, the FDA randomly selects 110 packages of
Oriental Spice Sauce and determines the sodium content. The sample
has an average of 1067.38 milligrams of sodium per package with a
sample standard deviation of 274.89 milligrams.
Calculate a 95% confidence interval for the mean sodium content
in Oriental Spice Sauce.

The nutrition label for a new barbecue sauce states that one
bottle of sauce has 640mg of sodium. A local consumer group claims
that the sodium content is higher than what is reported on the
label. To determine the accuracy of the label, the FDA randomly
selects 12 bottles of the sauce and determines the sodium content.
Is there sufficient evidence to support the local consumer group’s
claim that the sodium content is higher than the nutrition label
states? Assume...

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 1100mg of sodium with a standard
deviation of 150mg. A sample of 19 packages was analyzed and the
sample mean was 1120mg and the sample standard deviation was
241.0628mg. Is there evidence at α=0.1
that variation exceeds the desired level?
Step 3 of 5 :
Determine the value of the test statistic. Round...

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 700mg of sodium with a standard
deviation of 140mg. A sample of 20 packages was analyzed and the
sample standard deviation was 240.0092mg. Is there evidence at
α=0.01 that the standard deviation of the sodium content exceeds
the desired level? Assume the population is normally
distributed.
Step 1 of 5 : State the...

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 1100mg of sodium with a standard
deviation of 110mg. A sample of 25 packages was analyzed and the
sample mean was 1080mg and the sample standard deviation was
154.8261mg. Is there evidence at α=0.1 that variation exceeds the
desired level?
Step 1 of 5 :
State the hypotheses in terms of the standard...

In order to ensure the consistency of their product, the
Oriental Spice Sauce company has a strict policy that the standard
deviation of the sodium content in the product is 140mg. For one
size of bottle, the sodium content is supposed to be 900mg. In a
random sample of 11 bottles, the standard deviation was found to be
275.4444mg. Is there evidence at ?=0.01 that the standard deviation
of the sodium content exceeds the desired level? Assume the
population is...

In order to ensure the consistency of their product, the
Oriental Spice Sauce company has a strict policy that the standard
deviation of the sodium content in the product is 120mg . For one
size of bottle, the sodium content is supposed to be 900mg . In a
random sample of 23 bottles, the standard deviation was found to be
183.4773mg . Is there evidence at α=0.025 that the standard
deviation of the sodium content exceeds the desired level? Assume...

In an effort to make a healthier product, the Oriental Spice
Sauce company has reduced the amount of sodium in their product to
900mg. In addition, the standard deviation of the amount of sodium
should be 130. To make sure this new product continues to meet the
standard, a random sample of 29 bottles is taken, and the standard
deviation for the sample was 183.8264. Is there evidence at α=0.05
that the standard deviation of the sodium content exceeds the...

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