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It is known that some brands of peanut butter contains impurities within an acceptable level. A test conducted on 12 randomly selected jars of a certain brand of peanut butter resulted in the following percentages of impurities:

1.9 2.7 2.1 2.8 2.3 3.6 1.4 1.8 2.1 3.2 2.0 1.9

(a) Construct a 95% jackknife con?dence interval for the average percentage of impurities in this brand of peanut butter.

(b) Give an approximate 95% jackknife con?dence interval for the population variance.

(c) Interpret your results.

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