In: Statistics and Probability
The weights of adult male Chinook salmon caught in the rivers along the western coast of Washington have an approximate normal distribution with a mean of 25 kg and a standard deviation of 6 kg. Suppose regulations require that only 4 salmon can be caught per day by any one fisherman. Suppose that, on his next trip, Dr. K catches 4 Chinook male salmon. Consider the sample of four salmon to be a random sample of all such salmon in the river.
We want to specify and use the sampling distribution of the average weight oof a random sample of n=4 salmon. All conditions are satisfied .
A. What is the mean of the sampling distribution of the average weight of n=4 salmon?
B. What is the standard deviation of the sampling distribution of the average weight of n=4 salmon?
C. Find the probability that the average weight of the four salmon on Dr. K's string is more than 28 kg. Use three decimal places.
Given that the weights of adult male Chinook Saon caught in the rivers is approximately normal.