Question

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 data are normally distributed and use a significance level of 0.05.

Sodium Content (in mg)

638 660 665 665
630 646

644 663 623 649
646 624

Step 2 of 3 :

Compute the value of the test statistic. Round your answer to three decimal places.

Answer #1

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...

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.

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