# 34201 - Biostatistics course Part 8 Inferences of a mean Dr...

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Unformatted text preview: Biostatistics course Part 8 Inferences of a mean Dr. Sc Nicolás 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. Pediatrician by the Mexican Council of Certification on Pediatrics. Postgraduate Diploma on Epidemiology, London School of Hygiene and Tropical Medicine, University of London. Master Sciences with aim in Epidemiology, Atlantic International University. Doctorate Sciences with aim in Epidemiology, Atlantic International University. Associated Professor B, Department of Nursing and Obstetrics, Division Of Health Sciences and Engineering, Campus Celaya Salvatierra, University of Guanajuato. [email protected] Competencies The reader will apply a Z test to obtain inferences of a mean. The reader will obtain a confidence interval for a mean. He (she) will apply a t test for a mean in a short sample. He (she) will obtain a confidence interval for a mean in a short sample. Introduction If we measure the stature of students of FEOC, we can obtain its mean and standard deviation: Number of students: 269 Mean of stature: 161.6 cm Standard deviation: 6.3 cm Median: 159 cm Range: 149 a 185 cm. Notation For parameters of population, we use Greek letters; to parameters in sample, we use Roman letters. Parameter Population Sample Mean μ _ X Standard deviation σ s Sampling distribution If we take many samples of the same size of the same population, each sample can have different mean and standard deviation. If we plot these sample means we can obtain a sampling distribution. If the sample size is big, the mean distribution is almost Normal, although data distribution in the population is not Normal. Sampling distribution (contd…) Stature (cm) n % % accumulated 149 2 0.7 0.7 150 3 1.1 1.8 152 6 2.2 4.0 154 12 4.5 8.5 155 27 10.0 18.5 157 29 10.8 29.3 158 26 9.7 39.0 159 33 12.3 51.3 163 37 13.8 65.1 164 16 5.9 71.0 165 24 8.9 79.9 168 18 6.7 86.6 169 14 5.2 91.8 171 6 2.2 94.0 174 7 2.6 96.6 175 1 0.4 97.0 177 4 1.5 98.5 179 2 0.7 99.2 184 1 0.4 99.6 185 1 0.4 100.0 Total 269 100.0100....
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34201 - Biostatistics course Part 8 Inferences of a mean Dr...

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