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6. An article in the Australian Journal of Agricultural Research determined that the essential amino ads (Lysine) composition level of soybean meals is as shown below (g/kg): 20.2, 21.7, 23.9, 27.0. 25.0 Construct a 99% two-sided confidence interval for the standard deviation. Provide interpretations (10 points)4. A magnetic tape has an average of 0.4 flaws per meter. a.) tape? (5 points) What is the probability that the first flaw will occur between 3 and 5 meters of the start of b.) What is the probability that you will find exactly 2 flaws in 4 meters of tape? (5 points) 5. The wall thickness of glass bottles was measured by a quality-control engineer. We know from experience that the population standard deviation of the wall thickness is 0.08 mm. What sample size should be used to detect a change of 0.07 mm in true mean thickness with 95% probability (i.e., Power)? Alpha = 0.01. (5 points)