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 Does 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. Choose the correct test statistic and P-value associated with this experiment. O Test statistic: z = 0.95 P-value: 0.1711 O Test statistic: z = -0.95 P-value: 0.1711 O Test statistic: z = 0.95 P-value: 0.8289 Test statistic: z = -0.95 P-value: 0.8289

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 8A
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Use the data to identify the correct response.

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
Does 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.
Choose the correct test statistic and P-value associated with this experiment.
Test statistic: z = 0.95 P-value: 0.1711
Test statistic: z = -0.95 P-value: 0.1711
O Test statistic: z = 0.95 P-value: 0.8289
Test statistic: z = -0.95 P-value: 0.8289
Transcribed Image Text: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 Does 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. Choose the correct test statistic and P-value associated with this experiment. Test statistic: z = 0.95 P-value: 0.1711 Test statistic: z = -0.95 P-value: 0.1711 O Test statistic: z = 0.95 P-value: 0.8289 Test statistic: z = -0.95 P-value: 0.8289
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