3. Pencil lead is a ceramic material consisting of clay and graphite; the clay provides the ceramic matrix supporting the graphite. Pencil lead formulation focuses on the ratio of clay to graphite: the more the clay, the firmer the grade and the lighter the mark made by the pencil. One measure of the ratio of clay to graphite is the "ash" content. Inspectors take a random sample of n = 40 pencils from a production process, extract the lead, and burn off all the "volatiles" (essentially the carbon) leaving the ash. The ash content, denoted by Y, is then weighed and reported as a percentage. A high ash content indicates too much clay in the formulation; a low ash content indicates too much graphite. The data are below. It is believed that 41.1 42.8 43.2 40.8 41.4 42.7 44.9 41.6 43.5 41.8 45.0 39.6 42.6 43.4 43.3 42.7 44.0 44.1 41.7 42.2 42.8 43.3 42.4 41.7 40.1 41.1 41.7 43.3 43.1 42.9 42.1 42.3 44.2 42.2 40.7 41.8 41.8 44.2 42.2 42.7 the mean ash content is differed from 42.5 percent. At the a = level, formulate a hypothesis test to investigate this assertion. . 0.1 significance

3. Pencil lead is a ceramic material consisting of clay and graphite; the clay provides the ceramic matrix supporting the graphite. Pencil lead formulation focuses on the ratio of clay to graphite: the more the clay, the firmer the grade and the lighter the mark made by the pencil. One measure of the ratio of clay to graphite is the "ash" content. Inspectors take a random sample of n = 40 pencils from a production process, extract the lead, and burn off all the "volatiles" (essentially the carbon) leaving the ash. The ash content, denoted by Y, is then weighed and reported as a percentage. A high ash content indicates too much clay in the formulation; a low ash content indicates too much graphite. The data are below. It is believed that 41.1 42.8 43.2 40.8 41.4 42.7 44.9 41.6 43.5 41.8 45.0 39.6 42.6 43.4 43.3 42.7 44.0 44.1 41.7 42.2 42.8 43.3 42.4 41.7 40.1 41.1 41.7 43.3 43.1 42.9 42.1 42.3 44.2 42.2 40.7 41.8 41.8 44.2 42.2 42.7 the mean ash content is differed from 42.5 percent. At the a = level, formulate a hypothesis test to investigate this assertion. . 0.1 significance

Name: Please see attached to answer the following.a. Calculate the sample me
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Description: Please see attached to answer the following.a. Calculate the sample mean and the sample standard deviation.b. Calculate the test statistic.c. Find the p-value and the rejection region. 3. Pencil lead is a ceramic material consisting of clay and graph

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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