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At a local university, a sample of 49 evening students was selected in order to determine whether the average score of the evening students is

At a local university, a sample of 49 evening students was selected in order to determine whether the average score of the evening students is significantly different from 85. The average score of the students in the sample was 84.2. The population standard deviation is known to be 2.

  1. Determine whether or not the evening students' average score is significantly different from 85. Use =.05.
  2. Would your answer be different if =.005? Please explain.
  3. Construct a 95% confidence interval for the population mean.

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