Suppose an equal number of 12- to 14-year-old girls below and above the poverty level are recruited to study differences in calcium intake. How many girls should be recruited to have an 80% chance of detecting a significant difference using a two-sided test with α = .05

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 7E
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The mean ±1 sd of ln [calcium intake (mg)] among 25
females, 12 to 14 years of age, below the poverty level is
6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake
(mg)] among 40 females, 12 to 14 years of age, above the
poverty level is 6.80 ± 0.76.

*8.7 Suppose an equal number of 12- to 14-year-old girls
below and above the poverty level are recruited to study
differences in calcium intake. How many girls should be
recruited to have an 80% chance of detecting a significant
difference using a two-sided test with α = .05?

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