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Q2. In the following table, we have a group of 20 students selected from 22,000 students at WCU. Each of the 20 is represented by

Q2. In the following table, we have a group of 20 students selected from 22,000 students at WCU. Each of the 20 is represented by a unique ID and their corresponding scores on the Stats course scores. We hypothesize that the mean Stats grade of the 20 students is higher than the average grade of the students at WCU (which equals 73 %). Results are showed in the table below:

  1. What are the null and alternative hypotheses? (2 pts)
  2. What test do we apply here to test if your hypothesis is true? (1 pt)
  3. What is the critical value for this example (1 pt)?
  4. Compute the test statistic (1 pt).
  5. Make the right conclusion regarding whether or not mean of your sample is different from that of WCU (1 pt)

ID Final Stats Scores (%)
001 78
002 95
003 63
004 91
005 88
006 79
007 48
008 72
009 81
010 75
011 54
012 77
013 99
014 84
015 75
016 48
017 97
018 66
019 73
020 59

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