From extensive research it is known that the population of a particular species of fish has a lengths with a standard deviation σ = 44 mm. The lengths are known to have a normal distribution. A sample...

From extensive research it is known that the population of a particular species of fish has a lengths with a standard deviation σ = 44 mm. The lengths are known to have a normal distribution. A sample of 100 fish from such a population yielded a mean length y = 167 mm. Compute the 0.95 confidence interval for the mean length of the sampled population. Assume the standard deviation of the population is also 44 mm.