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ETC2420 - ETC5242 - Statistical thinking - S2 2026

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Construct a 95% CI for difference in mean exam score between face-to-face and online students (face-to-face minus online), irrespective of school.

What is the value of the upper bound, rounded to 2 decimal places?

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Construct a 95% bootstrapped confidence interval for the population median exam score across all students, irrespective of school. 

  • Using a random seed of 24205242
  • Use 5000 bootstrap samples and the percentile method.

Which of the statements below is correct?

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100%
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Construct a 99% CI of the mean score score, for the Arts School. The lower and upper bounds are:

100%
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Create a variable indicating whether a student passed the exam (use < 50 as 'not pass' and >=50 as 'pass'), irrespective of school. Then construct a 95% CI for the population proportion using the normal approximation.

What is the value of the lower bound, rounded to 2 decimal places?

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The 90% Confidence Interval of the mean Exam score, irrespective of school has lower and upper bounds of:

0%
0%
0%
0%
100%
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Create a new variable called "Travel burden" using the following formula:

Travel burden = Age x Distance

Then determine the mean travel burden for face-to-face students, irrespective of school. Round your answer to the nearest whole number.

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Create a boxplot to examine the difference in Exam scores across School. Which school has the most outliers?

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Which school has the strongest correlation between Week 8 Test Scores and Exam Scores?

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0%
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For students from the Arts school, what is the median exam score? Round your answer to the nearest whole number.

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Create a new variable called Grade that categorises Exam score into:

  • Less than 50: "N",
  • From 50 to below 60: "P",
  • From 60 to below 70: "C",
  • From 70 to below 80: "D",
  • All other scores: "HD"
Then compute the number of students from the Arts school with a HD Grade.

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