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 graphite; the clay providesthe ceramic matrix supporting the graphite. Pencil lead formulation focuses on theratio of clay to graphite: the more the clay, the firmer the grade and the lighter themark 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 productionprocess, 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 apercentage. A high ash content indicates too much clay in the formulation; a lowash content indicates too much graphite. The data are below. It is believed that41.1 42.8 43.2 40.8 41.4 42.7 44.9 41.6 43.5 41.845.0 39.6 42.6 43.4 43.3 42.7 44.0 44.1 41.7 42.242.8 43.3 42.4 41.7 40.1 41.1 41.7 43.3 43.1 42.942.1 42.3 44.2 42.2 40.7 41.8 41.8 44.2 42.2 42.7the 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
Uploaded: 2024-03-20T07:07:12.000Z
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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