Interpret the Confidence Interval

question 7

Multiple Choice

Interpret the confidence interval.
-A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on
Data collected from its automatic filling process, the amount of cheese inserted into the
Ravioli is normally distributed. To make sure that the automatic filling process is on
Target, quality control inspectors take a sample of 25 ravioli and measure the weight of
Cheese filling. They find the 99% confidence interval of 14.16 to 15.84 grams. Which of
The following is the correct interpretation?

• A) We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams.
• B) 99% of all ravioli made by this process will have cheese filling weights between 14.16 and 15.84 grams.
• C) The weight of cheese filling in the ravioli is between 14.16 and 15.84 grams 99% of the time.
• D) All of the above.
• E) None of the above.

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Definitions:

Parsimonious

Describes an approach that is simple or economical in terms of explaining something, often used in the context of scientific theories.

Falsifiable

Refers to a proposition or hypothesis that can be disproven through empirical evidence or experimentation.

Replicable Data

Information obtained from experiments or research that can be duplicated or reproduced by others to verify results.

Unambiguous Predictions

Clear, precise, and easily interpretable forecasts that leave little to no room for multiple interpretations or ambiguity.