A nationally-normed "Resilience Test" is administered yearly to graduating college seniors. The test measures how each graduating class feels about its future - the higher the score, the more resilient. Nationally, the scores range from 1 to 20 with a mean of 10 and a SD or 5. A sample of n = 100 seniors from this year's class was selected and tested with a mean score of 12 and a standard deviation of 4. On the basis of these data, can it be concluded this sample has a different level of resilience than expected? Set the significant level at = .05.

a. H_o: _______________________________________________________

b. H_a: _______________________________________________________

c. Appropriate statistical test: -

indicate type, one or two sample, one or two tail, df (if applicable)

_______________________________________________________

d. Critical region for rejection of the null hypothesis:

____________________________________________________________

e. The result from the statistical test is 4

What is your decision about null hypothesis?

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f. Verbal Conclusions:

____________________________________________________________

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I am confused about it being one or two-tailed, degrees of freedom, and the critical region formula/work needed for Question d.