Solve the Problem Do the Data Provide Sufficient Evidence to Support the Claim

question 46

Essay

Solve the problem.
-The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million
(ppm). A consumer health group measured the level of the chemical in a random sample of tomatoes obtained
from one producer. The levels, in ppm, are shown below. $$\begin{array} { l l l l l } 0.31 & 0.47 & 0.19 & 0.72 & 0.56 \\0.91 & 0.29 & 0.83 & 0.49 & 0.28 \\0.31 & 0.46 & 0.25 & 0.34 & 0.17 \\0.58 & 0.19 & 0.26 & 0.47 & 0.81\end{array}$$ Do the data provide sufficient evidence to support the claim that the mean level of the chemical in tomatoes
from this producer is greater than the recommended level of 0.4 ppm? Use a 0.05 significance level to test the
claim that these sample levels come from a population with a mean greater than 0.4 ppm. Use the P-value
method of testing hypotheses. Assume that the standard deviation of levels of the chemical in all such tomatoes
is 0.21 ppm.

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Definitions:

Prison Populations

Prison populations refer to the total number of individuals incarcerated within a penal institution at a given time.

XYY Chromosomal

A genetic condition in which a male has an extra Y chromosome, leading to a 47,XYY karyotype.

Klinefelter Syndrome

Klinefelter Syndrome is a genetic condition affecting males, characterized by an extra X chromosome, which can lead to physical, developmental, and reproductive challenges.

Estrogen

A group of hormones that play an essential role in the development and regulation of the female reproductive system and secondary sexual characteristics.