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 Ha : н > 10.13. HA : μ > 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.

Steel rods are manufactured with a mean length of 25 centimeters. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08cm. Any rods that are shorter than 24.81cm or longer than 25.19cm are discarded. What proportion of the rods will be discarded?

A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality control engineer knows that the bolts coming off the assembly line have a mean length of 8cm with a standard deviation of 0.05 cm. For what length will a bolt be destroyed?

Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123123 mg/dL and a standard deviation of 4141 mg/dL. If an individual's LDL is at least 11 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 11 or more standard deviations above the mean? Use the 6868–9595–99.799.7 rule. (Enter your exact answer as a whole number.)

The mean weight of a Great Dane is 63.0 kg with a standard deviation of 2.3 kg.  Suppose a researcher randomly samples 61 Great Danes and records the weights of the sampled dogs.  Calculate the standard deviation of the mean, rounded to 2 decimal places

Aldo, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Aldo models the boulders' weights using a normal distribution with a mean of 556 kg and a standard deviation of 100 kg find the percentage of boulders that weigh less than  520kg or more than 592kg according to the model.   .

The results of a common standardized test used in psychology research is designed so that the population mean is 165 and the standard deviation is 30. A subject earns a score of 255. What is the z-score for this raw score?z-score =

According to data from the U.S. Army the average foot length of women as normally distributed with a mean of 9.6 inches and a standard deviation of 0.5 inches.   Find P95 (that is the top 5% of women’s foot length)

Low-density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean? Use the 68–95–99.7 rule. (Enter your exact answer as a whole number.) percentage %

The results of a common standardized test used in psychology research is designed so that the population mean is 100 and the standard deviation is 40. A subject earns a score of 192. What is the Z-score for this raw score? Z-Score =