Samples of both surface soil and subsoil were taken from eight randomly selected agricultural locations in a particular county. The soil samples were analyzed to determine both surface pH and subsoil pH, with the results shown in the accompanying table. 2. 3. 6. Location Surface pH 6.55 5.98 5.59 6.17 5.92 6.18 6.43 5.68 Subsoil pH 6.78 6.14 5.80 5.91 6.10 6.01 6.18 5.88 a. Compute a 90% confidence interval for the mean differend between surface and subsoil pH for agricultural land in this county. b. What assumptions are necessary for the interval in Part (a) to be valid?

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Samples of both surface soil and subsoil were taken from eight randomly selected agricultural
locations in a particular county. The soil samples were analyzed to determine both surface pH
and subsoil pH, with the results shown in the accompanying table.
2.
3.
6.
Location
Surface pH 6.55 5.98 5.59 6.17 5.92 6.18 6.43 5.68
Subsoil pH 6.78 6.14 5.80 5.91 6.10 6.01 6.18 5.88
a. Compute a 90% confidence interval for the mean differend between surface and subsoil pH
for agricultural land in this county.
b. What assumptions are necessary for the interval in Part (a) to be valid?
Transcribed Image Text:Samples of both surface soil and subsoil were taken from eight randomly selected agricultural locations in a particular county. The soil samples were analyzed to determine both surface pH and subsoil pH, with the results shown in the accompanying table. 2. 3. 6. Location Surface pH 6.55 5.98 5.59 6.17 5.92 6.18 6.43 5.68 Subsoil pH 6.78 6.14 5.80 5.91 6.10 6.01 6.18 5.88 a. Compute a 90% confidence interval for the mean differend between surface and subsoil pH for agricultural land in this county. b. What assumptions are necessary for the interval in Part (a) to be valid?
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