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What is the level of significance

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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.

17

10

10

11

11

20

16

11

5

11

24

21

15

11

14

5

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.)

Reference no: EM131050366

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