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A researcher hired by a farming organization obtains a random sample of 50 cows in a state and finds a 95% confidence interval for the mean milk production for cows (mu) to be (22; 30) kg/day. Critique the following interpretations.
(a) There is a 95% chance that a cow produces, on average, between 22 and 30 kg of milk per day.
(b) We are 95% confident that X is between 22 and 30 kg of milk per day.
(c) The mean milk production (mu) for cows in the state will be 22-30 kg/day images of the time.
(d) We are 95% confident cows in this state produce, on average, from 22 to 30 kg of milk per day.
(e) In 95% of samples, the mean milk production will be between 22 and 30 kg/day.
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