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 with374minutes and a standard deviationof 64minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with522minutes and a standard deviationof 104minutes. A researcher records the minutes of activity for an SRS of5mildly obese people and an SRS of5lean people.

What is the probability that the mean number of minutes of daily activity of the5mildly obese people exceeds400 minutes?Give your answer to four decimal places.

What is the probability that the mean number of minutes of daily activity of the5lean people exceeds400 minutes?Give your answer to four decimal places.

The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life ( 150,000 milesof driving) of cars of a particular model varies Normally with a meanof 90 mg/miand standard deviationof 4 mg/mi.A company has25cars of this model in its fleet. Using Table A, find the levelsuch that the probability that the averageNOX+NMOGlevelfor the fleet is greater thanisonly 0.02.

Give your answer to three decimal places.

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Andrew plans to retire in40 years.He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that from 1969 to 2018, the annual returns on S&P500had a meanof 9.8%and a standard deviationof 16.8%.The mean return over even a moderate number of years is close to Normal.

What is the probability,1,(assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next40 yearswill exceed10%?Give your answer to two decimal places.

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What is the probability,2,that the mean return will be less than5%?Give your answer to two decimal places.

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