Question
A botanist is developing a new, fast-growing strain of cottonwood tree, and she wants to use a confidence interval to estimate the true mean height
A botanist is developing a new, fast-growing strain of cottonwood tree, and she wants to use a
confidence interval to estimate the true mean height of trees of the new strain when they are ten
years old. The distribution of heights of individual ten-year-old cottonwoods is normal. She
selects a simple random sample of 12 ten-year-old trees, measures their heights (in feet), and
calculates the 95% confidence interval (68, 74). Which of the following is the best way to report
or interpret this confidence interval?
______There is a 95% chance that the true mean height of ten-year-old trees of the new strain isbetween 68 feet and 74 feet. ______There is a 95% chance that the sample mean height of ten-year-old trees of the new strainis between 68 feet and 74 feet. ______She can be 95% confident that the true mean height of ten-year-old trees of the new strainis between 68 feet and 74 feet. ______She can be 95% confident that trees of the new strain grow quickly.
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