Cattle Livestock are given a special feed supplement tosee if it will promote weight gain. Researchers report thatthe 77 cows studied gained an average of 56 pounds, andthat a 95% confidence interval for the mean weight gainthis supplement produces has a margin of error of {11pounds. Some students wrote the following conclusions.Did anyone interpret the interval correctly? Explain anymisinterpretations.a) 95% of the cows studied gained between 45 and67 pounds.b) We’re 95% sure that a cow fed this supplement willgain between 45 and 67 pounds.c) We’re 95% sure that the average weight gain amongthe cows in this study was between 45 and 67 pounds.d) The average weight gain of cows fed this supplementwill be between 45 and 67 pounds 95% of the time.e) If this supplement is tested on another sample of cows,there is a 95% chance that their average weight gainwill be between 45 and 67 pounds.
Cattle Livestock are given a special feed supplement to
see if it will promote weight gain. Researchers report that
the 77 cows studied gained an average 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. Some students wrote the following conclusions.
Did anyone interpret the interval correctly? Explain any
misinterpretations.
a) 95% of the cows studied gained between 45 and
67 pounds.
b) We’re 95% sure that a cow fed this supplement will
gain between 45 and 67 pounds.
c) We’re 95% sure that the average weight gain among
the cows in this study was between 45 and 67 pounds.
d) The average weight gain of cows fed this supplement
will be between 45 and 67 pounds 95% of the time.
e) If this supplement is tested on another sample of cows,
there is a 95% chance that their average weight gain
will be between 45 and 67 pounds.
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