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 u denote the actual population mean amount of mercury in tuna per ounce. The hypotheses for this testing situation are: Họ : µ = 10.13 vs HẠ : µ > 10.13. of making a Type I error using the decis would you use as the standard deviation for the normal distribution in your graphing To calculate the cha rule above, what calculator? Give your answer to 4 decimal places. Your Answer: Ancwer

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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 u 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 : н> 10.13.
To calculate the chance of making a Type I error using the decision rule above, what
would you use as the standard deviation for the normal distribution in your graphing
calculator? 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 u 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 : н> 10.13. To calculate the chance of making a Type I error using the decision rule above, what would you use as the standard deviation for the normal distribution in your graphing calculator? Give your answer to 4 decimal places. Your Answer: Answer
Expert Solution
Step 1

A hypothesis testing is used to draw conclusions about the population parameters. To conduct the hypothesis testing of population mean the standard normal distribution is used. 

Type I error in hypothesis testing occurs when the test rejects the null hypothesis but in reality the null hypothesis is correct. So the probability of making type I error is the probability of rejecting the null hypothesis.

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