Question

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 10.1197 micrograms and standard deviation of 2.0589 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 11.5011 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:

H0: μ = H0: μ = HA: μ > HA: μ >

Note: Numbers are randomized for each instance of this question. Use the numbers given above.

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 1

To calculate the chance of making a Type I error using the decision rule above, what would you use as the standard deviation

std. dev. = 2.0589/sqrt(10) = 0.6511