Biostatistics course Part 8 Inferences of a mean. Dr. Sc Nicolas Padilla Raygoza Department of Nursing and Obstetrics Division of Health Sciences and Engineering Campus Celaya Salvatierra University of Guanajuato Mexico. Biosketch. Medical Doctor by University Autonomous of Guadalajara.
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Dr. Sc Nicolas Padilla Raygoza
Department of Nursing and Obstetrics
Division of Health Sciences and Engineering
Campus Celaya Salvatierra
University of Guanajuato Mexico
Medical Doctor by University Autonomous of Guadalajara.
Pediatrician by the Mexican Council of Certification on Pediatrics.
Postgraduate Diploma on Epidemiology, London School of Hygine and Tropical Medicine, University of London.
Master Sciences with aim in Epidemiology, Atlantic International University.
Doctorate Sciences with aim in Epidemiology, Atlantic International University.
Professor Titular A, Full Time, University of Guanajuato.
Level 1 National Researcher System
Data of students from FEOC. If we take other 999 samples of students, we can graphic the distribution of their means.
X ± 1.96 (ES)
X is the estimate obtained of the sample,
1.96 is the multiply of standard errors for 95%,
SE is the standard error
X = 161.6
SE= 6.3/√269= 0.38
95%CI= 161.6 ± 1.96 (0.38) = 161.6 ± 0.74 =
160.86 a 162.34
X – μo
Then, the test is a standardized difference between X and μo.
Mean = 161.6
S = 6.3
95%CI = 160.6 a 162.60
Ho: μ = 167cm
We need use Z test:
X – μo 161.6 -167
z = ----------- = ---------------- = - 14.21
95%CI Hypothesis test
Estimate ± multiplier (standard error) To test Ho: μ=μo
Estimate is the estimate mean To test H1: μ≠μo
Multiplier is the value of t _
Correspond to p=0.05 with degree X – μ0
Freedom equal to sample size minus 1 t = ---------