1. state the hypotheses and identify the claim 2. find the critical value(s) 3.

Question

1. state the hypotheses and identify the claim

2. find the critical value(s)

3. compute the test value

4. make the decision

5. summarize the results

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Whooping Crane Eggs 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 (www.SunHerald.com). The average whooping crane egg weighs 208 grams. A new batch of randomly selected eggs was recently weighed, and their weights are listed. At =0.01, is there sufficient evidence to conclude that the weight is greater than 208 grams? Assume the variable is normally distributed.

210          208.5          211.6          212          210.3

210.2      209             206.4           209.7

Explanation / Answer

1. null hypothesis: mean =208

alternate hypothesis: mean >208

2)critical value =2.8965

3)test value =(X-mean)/std error =(209.744-208)/0.588=3.1273

4)a s test stat is in critical region, we reject null hypotheis

5) we have sufficient evidence to conclude that mean >208

X 210.000 208.500 211.600 212.000 210.300 210.200 209.000 206.400 209.700 mean(X) 209.744 std deviation(S) 1.673 std error =S/(n)1/2 0.558

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