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

The mean life expectancy in the US pop. is currently 81.1 years with a standard deviation of 15.9. A researcher examined the age of death of 70 people in Florida hospitals and the mean was 85.2 yrs. He runs a 2tailed test with a=.05 to see if FL has significantly different life expectancy to the overall US pop. Calculate the standard error, z statistic and critical z values from this information.

Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, μ, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 700 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 99% confident that its estimate is within 175 miles per month of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) 0 X S

A blood bank is conducting a study on how much time is required of their patients for blood platelet donations. Based on past records, time spent in the waiting room has a mean of 5 minutes and a standard deviation of 1 minute, time spent with a nurse who reviews patients' medical records and measures their vital signs has a mean of 10 minutes and a standard deviation of 3 minutes, and the actual donation time has a mean of 130 minutes and a standard deviation of 8 minutes. Assuming these three times are independent and can all be modeled using a normal distribution, approximately what proportion of donors finish the entire donation process in under 2.5 hours (150 minutes)? (A) 0.66 (B) 0.72 (C) 0.84 (D) 0.89 (E) 0.99

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.8 and a standard deviation of 61.7. What is the approximate percentage of women with platelet counts between 192.1 and 315.5?

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, μ, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate μ using the mean of the sample. Using the value 800 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 90% confident that its estimate is within 100 miles per month of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).

A survey found that women's heights are normally distributed with a mean of 62.7 inches and a standard deviation of 3.7 inches. The survey also found that men`s heights are normally distributed with a mean of 69.8 inches and a standard deviation of 3.8 inches. Consider an executive jet that seats six with a driveway height of 56.1 inches. What percentage of adult men can fit through the door without bending?