PLEASE USE RSTUDIO THANK YOU Perform a hypothesis test for the population mean. Assume that preliminary data analyses indicate that it is reasonable to apply the z-test. Use the critical-value approach. (5 points)1) 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.

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PLEASE USE RSTUDIO THANK YOU

Perform a hypothesis test for the population mean. Assume that preliminary data analyses indicate that it is reasonable to apply the z-test. Use the critical-value approach. (5 points)1) 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.

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

At the 5% significance level, do the data provide sufficient evidence to conclude that the mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm? Assume that the population standard deviation of levels of the chemical in these tomatoes is 0.21 ppm.

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