Question

Follow the directions for the common assessment in Hypothesis Testing. The complete solution must include all the steps in hypothesis testing.

Identify the null and alternative hypothesis, calculate the test statistic, along with the P-value. Write the conclusion about the null hypothesis and the final conclusion in context of the problem.

1. The maximum acceptable level of a certain toxic chemical in vegetables is 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 is ppm are shown in the table 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

  

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 the hypothesis. Assume that the standard deviation of levels of the chemicals in all such tomatoes is 0.21 ppm.

Answer 1