Question: The problem, and my highlighted answer: Problem Set 3.3 : z Test Criterion : Calculate a z test to make a decision about a sample.

The problem, and my highlighted answer:

Problem Set 3.3: z Test

  • Criterion: Calculate a z test to make a decision about a sample.
  • Data: The average (mean) height for adult women is 65 inches, and the standard deviation is 3.5 inches. Given the women you know, you think this number is low; so, you record the heights of 25 of your female friends. The average height of your 25 friends is 66.84 inches.

  • Instruction: Answer this: If your friends are just a representative sample of adult females, what is the probability that your friends are so tall?

66.84 - 65 / 3.5 = .53 z score = .7019 or 70%

My teacher's critique:

The formula for normal deviate z does not use standard deviation. Please review this formula to provide the correct calculation and the probability.

I'm not sure what formula she is referring to or why my answer is wrong. Can I get help with this?

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