concentration for a sample of mentally impaired children for which the cause of impairment was unknown. Sample statistics were    n = 41                 X Bar = 16 ppm              s = 5.36 ppm

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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In recent years, a substantial amount of research has focused on a possible relationship between chemical contamination of various sorts and mental impairment in children. An article reported data on hair-lead concentration for a sample of mentally impaired children for which the cause of impairment was unknown. Sample statistics were

   n = 41                 X Bar = 16 ppm              s = 5.36 ppm

The paper states that 14.27 ppm is considered the acceptable upper limit of hair-lead concentration.

Let μ= the average hair-lead concentration for all mentally impaired children with the cause of impairment unknown. 

H0: μ = 14.27       versus          H1: μ > 14.27   at 0.01 significance level

Does the given sample data support the research hypothesis that true average hair concentration for all such mentally impaired children exceeds the acceptable upper limit? Assume normality.

1. reject null hypothesis 

2. fail to reject null hypothesis 

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