Question: please solve 1. Corks for bottles in a certain manufacturing process are produced in such a way that the diameter of the corks has a
please solve

1. Corks for bottles in a certain manufacturing process are produced in such a way that the diameter of the corks has a Normal distribution with mean 3 cm. and standard deviation 0.1 cm. The specifications call for corks with diameters between 2.9 and 3.1 cm. What percentage of the produced corks do not meet specifications? A.31.746, B. 53.98%. C.68.26%, D84.13% E. Cannot be answered with information given. 2. For corks described in question 36, below what diameter are the smallest 10% of the corks? A 5398 cm. B.2.5398 cm. C. 2.872cm. D. 2.999 cm, E.3.001 cm. F 3.067 cm 3.A cork produced by the process described in question 36 has a diameter of 3.135 cm. How many standard deviations is that diameter above the mean? A. 1.35. B. .9115. C. 12 D.5. 4. Which one of the following does NOT have the same units of measure as the data? A. Mean B. Standard deviation CC. Interquartile range C D. Z-score 5.Why do we randomize in experiments? A. To eliminate bias associated with lurking variables. B. To enhance the placebo effect. C. To enable the measurement of treatment differences. D. To remove extraneous variation from the experiment error. E. To more precisely measure chance variation. 6. Twelve locations were selected in a county where a steel plant is accused of air pollution. At each location, the sulfate level and distance from the steel plant were measured. The data were analyzed to see whether the sulfate level decreases as distance from the plant increases. What type of study is this? CA. Matched pairs experiment B. Randomized controlled experiment c. Observational study D. A double blind experiment CE. Multistage study
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