The tar content in 30 samples of cigar tobacco follows:1.542 1.585 1.532 1.466 1.499 1.6111.622 1.466 1.546 1.494 1.548 1.6261.440 1.608 1.520 1.478 1.542 1.5111.459 1.533 1.532 1.523 1.397 1.4871.598 1.498 1.600 1.504 1.545 1.558(a) Is there evidence to support the assumption that the tar content is normally distributed?(b) Find a 99% CI on the mean tar content.(c) Find a 99% prediction interval on the tar content for the next observation that will be taken on this particular type of tobacco.(d) Find an interval that will contain 99% of the values of the tar content with 95% confidence.(e) Explain the difference in the three intervals computed in parts (b), (c), and (d).