# The following statement appeared on a box of Tide laundry detergent: “Individual packages of Tide may weigh slightly more or less than the marked weight due to normal variations incurred with high speed packaging machines, but each day’s production of Tide will average slightly above the marked weight.”a. Explain in statistical terms what the statement means.b. Describe in words a hypothesis test for checking the statement.c. Suppose that the marked weight is 76 ounces. State in words the null and alternative hypotheses for the hypothesis test. Express those hypotheses in statistical terminology.

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The following statement appeared on a box of Tide laundry detergent: “Individual packages of Tide may weigh slightly more or less than the marked weight due to normal variations incurred with high speed packaging machines, but each day’s production of Tide will average slightly above the marked weight.”

a. Explain in statistical terms what the statement means.
b. Describe in words a hypothesis test for checking the statement.
c. Suppose that the marked weight is 76 ounces. State in words the null and alternative hypotheses for the hypothesis test. Express those hypotheses in statistical terminology.

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Step 1

a.

It is given that “Individual packages of Tide may weigh slightly more or less than the marked weight due to normal variations incurred with high speed packaging machines, but each day’s production of Tide will average slightly above the marked weight.”

Denote µ0 as the marked weight and µ as the average weight, the above statement can be written statistically as µ>µ0

Step 2

b.

The null hypothesis states that the average daily production of Tide is lesser than or equal to the marked weight.

The ...

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