Dora recently explored southeast Australia where she found some very large trees known as Eucalyptus raglans or Mountain Ash. She wondered if they were taller, on average, than the coastal Douglas Firs of her native state of Oregon in the United States, which have an average height of 250 feet in old growth areas. Dora measured the heights of 15 Mountain Ash trees in southeast Australia and found an average height of X = 293 ft Suppose S = 25 ft.. Assume the heights of the 15 trees in Dora's sample are representative of the heights of all Mountain Ash trees in southeast Australia. Use a = 0.05.

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Please, Identify the null hypothesis, test statistic, P-value or critical value, conclusion about the null hypothesis, and the final conclusion that addresses the original claim using the 6-step test format.

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Dora recently explored southeast Australia where she found some very large trees known as Eucalyptus raglans or Mountain Ash. She wondered
if they were taller, on average, than the coastal Douglas Firs of her native state of Oregon in the United States, which have an average height
of 250 feet in old growth areas. Dora measured the heights of 15 Mountain Ash trees in southeast Australia and found an average height of
X = 293 ft Suppose 5 = 25 ft.. Assume the heights of the 15 trees in Dora's sample are representative of the heights of all Mountain Ash
trees in southeast Australia. Use a = 0.05.
Transcribed Image Text:Dora recently explored southeast Australia where she found some very large trees known as Eucalyptus raglans or Mountain Ash. She wondered if they were taller, on average, than the coastal Douglas Firs of her native state of Oregon in the United States, which have an average height of 250 feet in old growth areas. Dora measured the heights of 15 Mountain Ash trees in southeast Australia and found an average height of X = 293 ft Suppose 5 = 25 ft.. Assume the heights of the 15 trees in Dora's sample are representative of the heights of all Mountain Ash trees in southeast Australia. Use a = 0.05.
Expert Solution
Step 1

Given:

Sample size (n) = 15

Sample standard deviation (s) = 25

Sample mean x¯= 293

Hypothesized mean μ = 250

Significance level = 0.05

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