Mercury in Tuna ~ Mercury, if ingested can cause severe health problems. The amount of mercury in Tuna's body tissue is much higher than other fish. It is known that the amount of mercury in Albacore tuna is normally distributed with mean 10.13 micrograms and standard deviation of 2.03 micrograms per ounce. A food company has a production line for canned albacore tuna. They regularly take random samples of 10 cans of tuna and test the amount of mercury. If the sample mean amount of mercury in tuna exceeds 12 micrograms per ounce, the production line will be stopped to find the source of contamination. Let µ denote the actual population mean amount of mercury in tuna per ounce. The hypotheses for this testing situation are: Но : и 3D 10.13 vs HА : и > 10.13. What is the power of the hypothesis test, using the decision rule given above, if the population mean amount of mercury is 11.5 micrograms per ounce? Give your answer to 4 decimal places.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Mercury in Tuna**

Mercury, if ingested, can cause severe health problems. The amount of mercury in Tuna’s body tissue is much higher than other fish.

It is known that the amount of mercury in Albacore tuna is normally distributed with mean 10.13 micrograms and standard deviation of 2.03 micrograms per ounce.

A food company has a production line for canned albacore tuna. They regularly take random samples of 10 cans of tuna and test the amount of mercury. If the sample mean amount of mercury in tuna exceeds 12 micrograms per ounce, the production line will be stopped to find the source of contamination.

Let \(\mu\) denote the actual population mean amount of mercury in tuna per ounce. The hypotheses for this testing situation are:

\[ H_0 : \mu = 10.13 \quad \text{vs} \quad H_A : \mu > 10.13 \]

What is the power of the hypothesis test, using the decision rule given above, if the population mean amount of mercury is 11.5 micrograms per ounce? Give your answer to 4 decimal places.

**Your Answer:**

\[ \_\_\_\_\_\_\_\_\_\_ \]

Answer:
Transcribed Image Text:**Mercury in Tuna** Mercury, if ingested, can cause severe health problems. The amount of mercury in Tuna’s body tissue is much higher than other fish. It is known that the amount of mercury in Albacore tuna is normally distributed with mean 10.13 micrograms and standard deviation of 2.03 micrograms per ounce. A food company has a production line for canned albacore tuna. They regularly take random samples of 10 cans of tuna and test the amount of mercury. If the sample mean amount of mercury in tuna exceeds 12 micrograms per ounce, the production line will be stopped to find the source of contamination. Let \(\mu\) denote the actual population mean amount of mercury in tuna per ounce. The hypotheses for this testing situation are: \[ H_0 : \mu = 10.13 \quad \text{vs} \quad H_A : \mu > 10.13 \] What is the power of the hypothesis test, using the decision rule given above, if the population mean amount of mercury is 11.5 micrograms per ounce? Give your answer to 4 decimal places. **Your Answer:** \[ \_\_\_\_\_\_\_\_\_\_ \] Answer:
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