Livestock are given a special feed supplement to see if it will promote weight g

Question

Livestock are given a special feed supplement to see if it will promote weight gain. The researchers report that the 77 cows studied gained an average weight of 56 pounds, and that a 95% confidence interval for the mean weight gain this supplement produces has a margin of error of +/- 11 pounds. After reading the report, several people tried to interpret the results of the study. Their statements are given below. For each statement, decide whether it is an accurate interpretation or an incorrect interpretation.

95% of the cows studied gained between 45 and 67 pounds.
We are 95% sure that a cow fed this supplement will gain between 45 and 67 pounds.
We are 95% sure that the average weight gain among the cows in this study was between 45 and 67 pounds.
The average weight gain of all cows fed this supplement will be between 45 and 67 pounds 95% of the time.
If this supplement is tested on another sample of cows, there is 95% chance that their average weight gain will be between 45 and 67 pounds.
We are 95% sure that the true mean weight gain of all cows fed this supplement will be somewhere between 45 and 67 pounds.

Explanation / Answer

option A ]

We are 95% sure that a cow fed this supplement will gain between 45 and 67 pounds

      margin of error = 11pounds

    avg.weight = 56

        ---------->>    56+11,56-11 = 45,67

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