2. Once Dr. Jain has this range of IQ scores, 25 students participate in her study. All of the students have an IQ in the middle 75% of the population, but Dr. Jain starts to worry that her sample has an unusually high IQ. Her sample has a mean IQ of 108. (1 point)

a. What is the z-score for Dr. Jain's sample of participants? (Show your work to earn full credit; only 1/2 credit if no work is shown)

Okay the range is the z-score cutoffs of 82.75 & 117.25

The formula for z-score is z = (raw score - population mean) / standard deviation

Z = 82.75 - 100 / 15

Z = -1.15 for the lower IQ cutoff

Z = 117.25 - 100 / 15

Z = 1.15 for the upper IQ cutoff

b. If Jain were to find another sample of 25 students, what would be the probability of getting a sample with a mean IQ that is LOWER than her original sample (M = 108)?

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