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.
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17
|
10
|
10
|
11
|
11
|
20
|
16
|
11
|
|
5
|
11
|
24
|
21
|
15
|
11
|
14
|
5
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The sample mean is x = 13.3%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that xhas a normal distribution and σ = 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 α = 0.01.
a) What is the level of significance?
b) What is the value of the sample test statistic? (Round your answer to two decimal places.)
c) Find (or estimate) the P-value. (Round your answer to four decimal places.)