Question

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

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.

Initial Claim:

Null Hypothesis:

Alternative Hypothesis

Test statistic (make sure you state which test statistic that you are using):

P- Value

Initial conclusion (justify your answer – graphs are acceptable):

Final conclusion:

Answer 1

	Values ( X )
	0.31	0.0181
	0.47	0.0007
	0.19	0.0648
	0.72	0.0759
	0.56	0.0133
	0.91	0.2167
	0.29	0.0239
	0.83	0.1486
	0.49	0.0021
	0.28	0.0271
	0.31	0.0181
	0.46	0.0002
	0.25	0.0378
	0.34	0.0109
	0.17	0.0754
	0.58	0.0184
	0.19	0.0648
	0.26	0.034
	0.47	0.0007
	0.81	0.1336
Total	8.89	0.9851

Mean

Standard deviation

To Test :-

H0 :-  

H1 :-

Test Statistic :-


t = 0.874

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

Decision based on P value
P - value = P ( t > 0.874 ) = 0.1965
Reject null hypothesis if P value < level of significance
P - value = 0.1965 > 0.05 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

There is insufficient evidence to support the claim that  the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.