12) 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 376376 minutes and standard deviation 7070 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 526526 minutes and standard deviation 106106 minutes. A researcher records the minutes of activity for an SRS of 66 mildly obese people and an SRS of 66 leanpeople.

James A. Levine et al., "Inter-individual variation in posture allocation: Possible role in human obesity," Science, 307 (2005), pp.584-586.

What is the probability that the mean number of minutes of daily activity of the 66 mildly obese people exceeds 410minutes?410minutes? Give your answer to four decimalplaces.

probability:

13) 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 376376 minutes and standard deviation 7070 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 526526 minutes and standard deviation 106106 minutes. A researcher records the minutes of activity for an SRS of 66 mildly obese people and an SRS of 66 leanpeople.

James A. Levine et al., "Inter-individual variation in posture allocation: Possible role in human obesity," Science, 307 (2005), pp.584-586.

What is the probability that the mean number of minutes of daily activity of the 66 lean people exceeds 410minutes?410minutes? Give your answer to four decimalplaces.

probability:

16)In 2017, the entire fleet of lightduty vehicles sold in the United States by each manufacturer must emit an average of no more than 8686 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000150,000 miles of driving) of the vehicle. NOX ++ NMOG emissions over the useful life for one car model vary Normally with mean 8080 mg/mi and standard deviation4mg/mi.deviation4mg/mi.

A company has 25cars25cars of this model in its fleet. What is the probability that the average NOX ++ NMOG level x of these cars is above 86mg/mi?86mg/mi? Give your answer to four decimalplaces.

probability: