Consider the data from an unknown distribution:

Question

40.68, 32.15, 36.91, 29.00, 35.58, 41.55, 33.83, 29.07, 41.00, 37.68, 41.23, 37.54, 40.33, 36.82, 35.18, 31.67, 38.55, 38.34, 35.86, 40.45, 37.28, 36.65, 32.12, 32.96, 37.65, 39.44, 46.18, 24.21, 42.35, 33.05, 30.90, 42.12, 34.38, 37.01, 30.29, 31.12, 31.39, 34.30, 38.65, 42.79

Compute:
a. The two sided tolerance interval
b. What is the level of confidence for this interval if it covers 67% of the data population?
c. Approximately how big a sample size would you need if you wanted to produce an interval that covers 90% of the data's population with 95% confidence? Round your answer to the nearest integer.