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standard deviation

Question

I would appreciate some clarity in how to get the correct answers especially for the Z answers.Thank

you!

The mean body mass index (BMI) for boys age 12 is 23.6.  An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City.  How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 units?  Assume that the standard deviation in BMI is 5.7.

Alpha = ________

    Z1-α/2= ________

     Z1-β= ________

       ES = ________

          n= ________

 
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