SOLUTION: Once down to about 15, the world’s only wild flock of whooping cranes now numbers a record 237 birds in its Texas Coastal Bend wintering ground. The average whooping crane egg weig

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Question 494931: Once down to about 15, the world’s only wild flock of whooping cranes now numbers a record 237 birds in its Texas Coastal Bend wintering ground. The average whooping crane egg weighs 208 grams. A new batch of eggs was recently weighed, and their weights are listed below. At a _ 0.01, is there sufficient evidence to conclude that the weight is greater than 208 grams?
210 208.5 211.6 212 210.3
210.2 209 206.4 209.7

Answer by stanbon(75887) About Me  (Show Source):
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Once down to about 15, the world’s only wild flock of whooping cranes now numbers a record 237 birds in its Texas Coastal Bend wintering ground. The average whooping crane egg weighs 208 grams. A new batch of eggs was recently weighed, and their weights are listed below. At a _ 0.01, is there sufficient evidence to conclude that the weight is greater than 208 grams?
210 208.5 211.6 212 210.3
210.2 209 206.4 209.7
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Ho: u <= 208
Ha: u > 208 (claim)
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x-bar = 209.74 ; s = 1.6734
test statistic: z(209.74) = (209.74-208)/1.6734 = 1.0398
Critical value: z = invNorm(.99) = 2.3263
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Conclusion: Since the test stat is not in the reject interval,
fail to reject Ho.
The test results do not support the claim.
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Cheers,
stan H.
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