Question
The following questions ask you to construct and compare a series of confidence intervals. A. In...
The following questions ask you to construct and compare a series of confidence intervals.
A. In a representative sample of 30 students, the mean quiz score was 54 points with a standard deviation of 2 points. Construct a 95% confidence interval to estimate the mean quiz score in the population of all students. [5 points]
B. In a representative sample of 100 students, the mean quiz score was 54 points with a standard deviation of 2 points. Construct a 95% confidence interval to estimate the mean quiz score in the population of all students. [5 points]
C. Compare the confidence intervals you constructed in parts A and B. How did the interval change when the sample size was increased from 30 to 100? [3 points]
D. In a representative sample of 30 students, the mean quiz score was 54 points with a standard deviation of 2 points. Construct a 99% confidence interval to estimate the mean quiz score in the population of all students. [5 points]
E. Compare the confidence intervals you constructed in parts A and D. How did the interval change when the confidence level increased from 95% to 99%? [3 points]
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