3. (a) (b) Environmental Science & Technology (1993) reported on a study of contaminated soil in The Netherlands. Seventy-two 400-grams soil specimens were sampled, dried, and analyzed for the contaminant cyanide. The cyanide concentration (in mg/kg) of each soil specimen was determined using an infrared microscopic method. The sample resulted in a mean cyanide level of 84 mg/kg. Assume o = 80 mg/kg. Test the hypothesis that the true mean cyanide level in soil in The Netherlands does not exceed 100 mg/kg. Use a significance level of 0.01. State the null and alternative hypotheses H₁₂ : Calculate the value of the test statistic. Show workings. H₂₁: Value of test statistic = (c) Find the critical value(s) and draw the acceptance and rejection region.

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(f) Decision based on the p-value of the test
Reason for decision :
(Circle One) :
Reject H, / Not Reject Ho
Transcribed Image Text:(f) Decision based on the p-value of the test Reason for decision : (Circle One) : Reject H, / Not Reject Ho
3.
(a)
Environmental Science & Technology (1993) reported on a study of contaminated
soil in The Netherlands. Seventy-two 400-grams soil specimens were sampled,
dried, and analyzed for the contaminant cyanide. The cyanide concentration (in
mg/kg) of each soil specimen was determined using an infrared microscopic
method. The sample resulted in a mean cyanide level of 84 mg/kg. Assume o = 80
mg/kg. Test the hypothesis that the true mean cyanide level in soil in The
Netherlands does not exceed 100 mg/kg. Use a significance level of 0.01.
State the null and alternative hypotheses
(b) Calculate the value of the test statistic. Show workings.
H₁₂ :
(d) Decision is:
Conclusion:
(c) Find the critical value(s) and draw the acceptance and rejection region.
-3-
Value of test statistic =
H₂₁:
(Circle One) : Reject H / Not Reject Ho
(e) Calculate the p-value associated with this test.
P-value=
Transcribed Image Text:3. (a) Environmental Science & Technology (1993) reported on a study of contaminated soil in The Netherlands. Seventy-two 400-grams soil specimens were sampled, dried, and analyzed for the contaminant cyanide. The cyanide concentration (in mg/kg) of each soil specimen was determined using an infrared microscopic method. The sample resulted in a mean cyanide level of 84 mg/kg. Assume o = 80 mg/kg. Test the hypothesis that the true mean cyanide level in soil in The Netherlands does not exceed 100 mg/kg. Use a significance level of 0.01. State the null and alternative hypotheses (b) Calculate the value of the test statistic. Show workings. H₁₂ : (d) Decision is: Conclusion: (c) Find the critical value(s) and draw the acceptance and rejection region. -3- Value of test statistic = H₂₁: (Circle One) : Reject H / Not Reject Ho (e) Calculate the p-value associated with this test. P-value=
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