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5) An environmentalist claims that the mean waste recycled by adults in the United States is...

5) An environmentalist claims that the mean waste recycled by adults in the United States is more than 1 pound per person per day. You wish to test this claim. You find the mean waste recycled per person per day for a random sample of 12 adults in the United States is 1.146 pounds per day with a standard deviation of .12 pounds per day. At α = .05, can you support the environmentalists claim?

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Answer #1

H0 : <= 1

Ha: > 1

Test statistics

z = ( - ) / ( S / sqrt(n) )

= (1.146 - 1) / ( 0.12 / sqrt(12) )

= 4.21

p-value = P(Z > z)

= P(Z > 4.21)

= 0

Since p-value < 0.05 level, Reject H0.

We conclude that we have sufficient evidence to support claim that the mean waste recycled by adults in the

United States is more than 1 pound per person per day.

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