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The population mean mon a national scholastic achievement test is 100 with a standard deviation of...

The population mean mon a national scholastic achievement test is 100 with a standard deviation of 30.  The students in Mr. Smart’s class got the following scores:

127      121      123      128      118      126      120      130      128      119      127      125

Using the criterion of 0.05 in the upper tail only, determine if Mr. Smart’s class is representative of the population.  

  1. State the RESEARCH Hypothesis or H1
  1. State the NULL Hypothesis or Ho
  2. Identify H1 as one or two-tailed
  3. Specify alpha level (level of significance)
  4. Specify Degrees of Freedom (n – 1)
  5. Identify Critical Value—(tcrit) from the t table (in the appendix)
  6. Calculate t-score—(tobt) using SPSS  (this has been done for you and the following printout shows the analysis of the data.
  7. State decision (rejection) rule –use the diagram of the normal distribution curve
  1. If the calculated t is beyond the t crit, then the NULL is rejected
  2. If the calculated t not beyond the cril, then there is a FAILURE to reject the NULL
  1. State the meaning of the results, explain the outcome, and draw a conclusion.
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