Does the label “GLUTEN FREE” guarantee that a food hasabsolutely NO gluten? FDA guidelines state a food must contain less than 20 partsper million of gluten to qualify as gluten free. (So some foods containing somegluten may legally qualify as gluten free.) A brand of crackers claiming to begluten free was tested ; for a sample of 7 batches of these crackers, the gluten levelsin parts per million were: 9 20 14 22 14 12 15Perform a hypothesis test to determine if the average gluten content is less than 20parts per million so that the manufacturer can support its claim that the crackerscan be represented as gluten free. Use a 3% level of significance.

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Does the label “GLUTEN FREE” guarantee that a food has
absolutely NO gluten? FDA guidelines state a food must contain less than 20 parts
per million of gluten to qualify as gluten free. (So some foods containing some
gluten may legally qualify as gluten free.) A brand of crackers claiming to be
gluten free was tested ; for a sample of 7 batches of these crackers, the gluten levels
in parts per million were: 9 20 14 22 14 12 15
Perform a hypothesis test to determine if the average gluten content is less than 20
parts per million so that the manufacturer can support its claim that the crackers
can be represented as gluten free. Use a 3% level of significance.

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