1.The water temperature off the coast of Alaska in 2019 for a random sample of days are as follows:^[6]

34, 51, 38, 38, 36, 27, 39, 40, 37, 27, 18, 42, 37, 37, 31, 41, 44, 41, 47, 45, 54, 52, 54, 48, 50, 56, 53, 57, 49, 49, 54, 46, 49, 50, 45,34, 33, 44, 42, 40, 43, 28, 41, 41, 32

Measurements are in degrees Fahrenheit.

a) Find the mean and standard deviation for the sample of water temperatures.

b) Find a 99% confidence interval for the mean temperature of the water off the coast of Alaska in 2019 and explain the meaning in the context of the problem.

Assume that the data is normally distributed.