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. 16 7 11 12 11 18 15 10 7 8 25 18 14 8 14 3 The sample mean is x = 12.3%. 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 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. 1. What is the level of significance? 2. Compute the z value of the sample test statistic. (Round your answer to two decimal places.) 3. Find (or estimate) the P-value. (Round your answer to four decimal places.)
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.
16 | 7 | 11 | 12 | 11 | 18 | 15 | 10 |
7 | 8 | 25 | 18 | 14 | 8 | 14 | 3 |
The sample
1. What is the level of significance?
2. Compute the z value of the sample test statistic. (Round your answer to two decimal places.)
3. Find (or estimate) the P-value. (Round your answer to four decimal places.)
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