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The score on a proficiency measure is assumed to follow a normal distribution. A switch to better lighting might change the score. A random sample

The score on a proficiency measure is assumed to follow a normal distribution. A switch to better lighting might change the score. A random sample of 30 people taken during the year before the switch to better light yielded a mean score of 600 and a variance of 400. A different random sample of 30 people after the switch had a mean of 610 and a variance of 441.

Does the change in lighting seem to have changed the proficiency score? Show your calculations (but not the degrees of freedom formula) and explain using one or two sentences

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