Lecture14 - AMS312 Spring_2010 April 12 th 1. Review:...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: AMS312 Spring_2010 April 12 th 1. Review: Inference on one population mean, normal population, population variance unknown (Quiz 5 Solutions): Approach 1 Pivotal Quantity Method Hypothesis: : : a H H = : : a H H = < : : a H H = Now the pivotal quantity is: 1 / n X T t S n -- = : Exactly Test statistic: 1 ~ / H n X T t S n -- = For the first case, we reject H if 1, n T t - at the significance level . For the second case, we reject H if 1, n T t - - at the significance level . For the last case, we reject H if 1, 2 n T t - at the significance level . 1 AMS312 Spring_2010 William S. Gosset (1876 -1937), inventor of the Students t-distribution. Example 1: Pica is a childrens disorder characterized by a craving for nonfood substances such as clay, plaster, and paint. Anyone affected runs the risk of ingesting high levels of lead, which can result in kidney damage and neurological dysfunction. Checking a childs blood lead level is a standard procedure for diagnosing the condition. Among children between the ages of six months and five years, blood lead levels of 16.0mg/l are considered normal. Recently, a random sample of twelve children enrolled in Mollys Mighty Bear Nursery had their blood lead levels checked. The resulting sample mean and sample standard derivation were 18.65 and 5.049, respectively. Can it be concluded that children at this particular facility tend to have higher lead levels? At the 0.05 = level, is the increase from 16.0 to 18.65 statistically significant?...
View Full Document

Page1 / 8

Lecture14 - AMS312 Spring_2010 April 12 th 1. Review:...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online