9. 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 0.26 0.47 0.81 0.34 0.17 0.58 0.19 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. Performing the hypothesis test at 5% significance (a = 0.05) yielded a p-value of 0.1716.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 7A
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9. 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.
Performing the hypothesis test at 5% significance (a = 0.05) yielded a p-value of 0.1716.
Check off the appropriate boxes to yield the correct interpretation.
O Reject the null hypothesis.
The data
O do not provide
O Do not reject the null hypothesis.
O do provide
sufficient evidence that the average acceptable toxic level is
| greater than
the recommended level of 0.4 ppm.
same as
Transcribed Image Text:9. 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. Performing the hypothesis test at 5% significance (a = 0.05) yielded a p-value of 0.1716. Check off the appropriate boxes to yield the correct interpretation. O Reject the null hypothesis. The data O do not provide O Do not reject the null hypothesis. O do provide sufficient evidence that the average acceptable toxic level is | greater than the recommended level of 0.4 ppm. same as
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