The article "Extravisual Damage Detection? Defining the Standard normal Tree" (Photogrammetric Engrg. Remote Sensing, 1981: 515-522) discusses the use of color infrared photography in identification of normal trees in Douglas fir stands. Among data reported were summary statistics for green-filter analytic optimal densitometric measurement on samples of both healthy and diseased trees. For a sample of 69 healty trees, the sample mean dye-layer density was 1.028, and the sample standard deviation was .163. Calculate a 95% confidence interval for the true average dye-layer density for all such trees.

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The article “Extravisual Damage Detection? Defining the Standard Normal Tree” (Photogrammetric Engrg. Remote Sensing, 1981: 515-522) discusses the use of color infrared photography in the identification of normal trees in Douglas fir stands. Among data reported were summary statistics for green-filter analytic optimal densitometric measurement on samples of both healthy and diseased trees. For a sample of 69 healthy trees, the sample mean dye-layer density was 1.028, and the sample standard deviation was .163. Calculate a 95% confidence interval for the true average dye-layer density for all such trees.
Transcribed Image Text:The article “Extravisual Damage Detection? Defining the Standard Normal Tree” (Photogrammetric Engrg. Remote Sensing, 1981: 515-522) discusses the use of color infrared photography in the identification of normal trees in Douglas fir stands. Among data reported were summary statistics for green-filter analytic optimal densitometric measurement on samples of both healthy and diseased trees. For a sample of 69 healthy trees, the sample mean dye-layer density was 1.028, and the sample standard deviation was .163. Calculate a 95% confidence interval for the true average dye-layer density for all such trees.
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  1. The article “Extravisual Damage Detection? Defining the Standard Normal Tree” (Photogrammetric Engr. and Remote Sensing, 1981: 515–522) discusses the use of color infrared photography in identification of normal trees in Douglas fir stands. For a sample of 69 healthy trees, the sample mean dye-layer density was 1.028, and the sample standard deviation was .163.
  2. Calculate a 95% two-sided CI for the true average dye-layer density for all such trees.

Suppose the investigators had made a rough guess of .16 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of .05 for a confidence level of 95%?

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