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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A nationwide study of American homeowners revealed that 64% have one or more lawn mowers.  A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha.  Can the value 0.64 be rejected if a survey of 490 homes in Omaha yields 360 with one or more lawn mowers?  Use α = 0.05.

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.
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Given:

 The provided sample mean is X = 293 and the sample standard deviation is s = 25, and the sample size is n = 15. 

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