For the study in Exercise 4.128, use StatKey or other technology to create the randomization distribution for this test. Find the p-value and give a conclusion for the test. Should the restaurant chain stop ordering chickens from that supplier?

Exercise 4.128

Data 4.5 on page 228 introduces a situation in which a restaurant chain is measuring the levels of arsenic in chicken from its suppliers. The question is whether there is evidence that the mean level of arsenic is greater than 80 ppb, so we are testing H₀: μ = 80 vs H_a: μ > 80, where μ represents the average level of arsenic in all chicken from a certain supplier. It takes money and time to test for arsenic so samples are often small. Suppose n = 6 chickens from one supplier are tested, and the levels of arsenic (in ppb) are:

Data 4.5 on page 228

Arsenic-based additives in chicken feed have been banned by the European Union but are mixed in the diet of about 70% of the 9 billion broiler chickens produced annually in the US.7 Many restaurant and supermarket chains are working to reduce the amount of arsenic in the chicken they sell. To accomplish this, one chain plans to measure, for each supplier, the amount of arsenic in a random sample of chickens. The chain will cancel its relationship with a supplier if the sample provides sufficient evidence that the average amount of arsenic in chicken provided by that supplier is greater than 80 ppb (parts per billion).

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