A teacher hypothesizes that an experimental learning method will increase student grades on a standardized test. The teacher employs the method with her class and then randomly selects four student scores to compare to the national average test scores for the test.

Assume the following:

= 72

= 13

H_A = raw score >

H₀: raw score =

= .05 (one-tailed)

a) Calculate the critical raw score for the test. (1 mark)

b) The teacher randomly selects the raw scores from the following students to compare to the national population average. For each student: convert each score to a z-score, report the p-value associated with that score and state whether the result is significant or not (1 mark for each)

Student A: 98

Student B: 87

Student C: 93

Student D: 103