Statistics (STAT 100)

The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000 miles of driving) of cars of a particular model varies Normally with mean 85 mg/mi and standard deviation 6 mg/mi. A company has 16 cars of this model in its fleet.  Using Appendix A, find the level L such that the probability that the average NOX+NMOG level for the fleet is greater than L is only 0.01.  Give your answer to three decimal places.

In 2017 , the entire fleet of light-duty vehicles sold in the United States by each manufacturer must emit an average of no more than 91 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life ( 150,000 miles of driving) of the vehicle. NOX + NMOG emissions over the useful life for one car model vary Normally with mean and standard deviation . A company has 36 cars of this model in its fleet. What is the probability that the average NOX + NMOG level of these cars is above 91 mg/mi? Give your answer to four decimal places.

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 375 minutes and standard deviation 65 minutes The mean number of minutes of daily activity for lean people is approximately Normally distributed with 530 minutes and standard deviation 109 minutesA researcher records the minutes of activity for an SRS of 5 mildly obese people and an SRS of 5 lean people.

What is the probability that the mean number of minutes of daily activity of the 5 mildy obese people exceeds 410 minutes? Give your answer to four decimal places.

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 375 minutes and standard deviation 65 minutes The mean number of minutes of daily activity for lean people is approximately Normally distributed with 530 minutes and standard deviation 109 minutesA researcher records the minutes of activity for an SRS of 5 mildly obese people and an SRS of 5 lean people.

What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 410 minutes? Give your answer to four decimal places.

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 375 minutes and standard deviation 65 minutes The mean number of minutes of daily activity for lean people is approximately Normally distributed with 530 minutes and standard deviation 109 minutesA researcher records the minutes of activity for an SRS of 5 mildly obese people and an SRS of 5 lean people.               

What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 410 minutes? Give your answer to four decimal places.

What is the height of the density curve between 0 and 3?Give your answer to two decimal places.