Question: Physical Sciences An iceberg consists of frozen freshwater that has broken away from a glacier, and could be more than 15,000 years old. Icebergs in the Grand Banks area are estimated to weigh between 100,000 and 200,000 tons.10 Suppose a team of scientists aboard a research vessel operating in the Grand Banks area selects a random sample of 49 icebergs. The height is carefully measured for each, and the sample mean is x¯ = 102 meters. Assume σ = 25 meters.
a. Find a 99% confidence interval for the mean height of icebergs in the Grand Banks area.
b. Some experts suggest that global warming has caused there to be more icebergs of greater height. Using the interval in part (a), is there any evidence to suggest that the mean height of icebergs in the Grand Banks area is more than 95 meters? Justify your answer. Write a Solution Trail for this problem.