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

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.