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. 14 10 11 12 10 22 13 12 7 12 25 21 14 8 11 6 The sample mean is x = 13.0%. 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. State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ ≠ 28 ml/kg; H1: μ = 28 ml/kg; two-tailedH0: μ = 28 ml/kg; H1: μ < 28 ml/kg; left-tailed    H0: μ = 28 ml/kg; H1: μ > 28 ml/kg; right-tailedH0: μ = 28 ml/kg; H1: μ ≠ 28 ml/kg; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x has a normal distribution with known σ.The Student's t, since n is large with unknown σ.    The standard normal, since we assume that x has a normal distribution with unknown σ.The Student's t, since we assume that x has a normal distribution with known σ. Compute the z 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.) Sketch the sampling distribution and show the area corresponding to the P-value.

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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.

14 10 11 12 10 22 13 12
7 12 25 21 14 8 11 6

The sample mean is x = 13.0%. 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.


State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?

H0: μ ≠ 28 ml/kg; H1: μ = 28 ml/kg; two-tailedH0: μ = 28 ml/kg; H1: μ < 28 ml/kg; left-tailed    H0: μ = 28 ml/kg; H1: μ > 28 ml/kg; right-tailedH0: μ = 28 ml/kg; H1: μ ≠ 28 ml/kg; two-tailed


(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.

The standard normal, since we assume that x has a normal distribution with known σ.The Student's t, since n is large with unknown σ.    The standard normal, since we assume that x has a normal distribution with unknown σ.The Student's t, since we assume that x has a normal distribution with known σ.


Compute the z 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.)


Sketch the sampling distribution and show the area corresponding to the P-value.

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