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Answer:
Mean of the sampling distribution,
Step-by-step explanation:
The entire lake's fish population has a normal distribution of the lengths with mean, = 26 inches and standard deviation,
= 7.8 inches.
A fisherman catches 45 fish every day.
The 45 fish caught every day represent a sample of the fish population in the lake.
The average lengths of the fish that are caught every day would be a sampling distribution.
Since the population distribution of the lengths of the fish is a normal distribution we can say that the samples will also be normally distributed.
Since the samples are also normally distributed like the population then we can say that the mean of the sampling distribution will be the same as that of the population.
Hence mean of the given sampling distribution,