Arsenic Levels in Chicken : Arsenic-based additives in chicken feed have been ba

Question

Arsenic Levels in Chicken: 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 U.S. Many restaurant and supermarket chains are working to reduce the amount of arsenic in the chicken they sell. To accomplish this, one chains 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).

The researcher randomly selects 310 chickens from Supplier A and finds the mean arsenic level to be 78.1 ppb with a standard deviation of 5.1 ppb.

For this project, use StatCrunch to answer the following questions. Make sure you copy and paste all your statistical output into your document.

Test the claim that the mean arsenic level is less than the allowed maximum amount of 80 ppb. Use a significance level of 0.05.

STATCRUNCH DIRECTIONS FOR MEAN HYPOTHESIS TEST: Click on Stat > T Stats > One Sample > With Summary > Enter sample mean, sample standard deviation, and sample size. Then click on Hypothesis Test for µ and fill in the hypothesized value and correct symbol for the alternative hypothesis > Click Compute.

Copy and paste the output into your document. Then answer the following questions:

Interpret the p-value. Make and initial decision based on this (do you reject or do not reject the null hypothesis).

State the conclusion of your hypothesis test.

Verify the assumptions are met to use this method.

Generate a 90% confidence interval to estimate the mean arsenic level of chickens from Supplier A.

STATCRUNCH DIRECTIONS FOR PROPORTION CONFIDENCE INTERVAL: Click on Stat > T Stats > One Sample > With Summary > Enter sample mean, sample standard deviation, and sample size. Then click on Confidence Interval for µ and fill in the confidence level > Click Compute.

Copy and paste the output into your document. Then answer the following questions:

Interpret the confidence interval.

Does your confidence interval support your hypothesis test conclusion? Explain.

Explanation / Answer

Using minita:)

One-Sample T

Test of = 80 vs < 80

N Mean StDev SE Mean 95% Upper Bound T P
310 78.100 5.100 0.290 78.578 -6.56 0.000

Yes here P-value < 0.05 so we reject null hypothesis.We canconclude that mean arsenic level is less than the allowed maximum amount of 80 ppb.

Hope this will be helpful. Thanks and God Bless You:-)

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