Question: Biology and Environmental Science A typical houseplant produces oxygen (from carbon dioxide) in varying amounts, depending on the amount of light and water. Suppose a medium Norfolk Island pine produces 7.5 ml per hour of oxygen when exposed to normal sunlight. Thirty-five Norfolk Island pines are selected at random, and the oxygen output is carefully measured for each. Assume σ = 1.75 ml/h.
a. What is the probability that the sample mean oxygen produced is less than 7 ml/h?
b. What is the probability that the sample mean oxygen produced is between 7.25 and 7.5 ml/h?
c. Suppose each plant is exposed to a new high-intensity grow light and the sample mean oxygen produced for the 35 plants is 8.1 ml/h. Is there any evidence that the new lamp has increased oxygen output?
d. Answer parts (a), (b), and (c) if σ = 3.75 ml/h.