statistics

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Consider the data from an unknown distribution:

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.

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