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Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hai

ID: 3326311 • Letter: N

Question

Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail.

The sample mean is x = 12.5%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use = 0.01.

16 8 9 10 12 18 12 12 9 12 25 18 11 9 14 5 (c) Est mate the Pvalue O P-value 0.250 0.125

Explanation / Answer


One-Sample T: xx

Test of = 11 vs 11


Variable N Mean StDev SE Mean T P
xx 16 12.50 4.86 1.21 1.24 0.236

pvalue = 0.236 > alpha= 0.01

Accept null hypothesis.

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