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It is known that some brands of peanut butter contain impurities within an acceptable level. A test conducted on randomly selected 12 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
(a) Construct a 95% con?dence interval for the average percentage of impurities in this brand of peanut butter.
(b) Give an approximate 95% con?dence interval for the population variance.
(c) Interpret your results and test for normality.
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If the population standard deviation is known to be 7.5 hours, can we conclude at the 5% significance level that he is right?
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