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Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hall.t An Insurance company is studying wheat haill 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 8 11 9 12 18 9 8 25 18 15 7 13 12 13 3 The sample mean is x= 12.4%. 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 a 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (elther way) from the national mean of 11%? Use a- 0.01.

Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hall.t An Insurance company is studying wheat haill 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 8 11 9 12 18 9 8 25 18 15 7 13 12 13 3 The sample mean is x= 12.4%. 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 a 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (elther way) from the national mean of 11%? Use a- 0.01.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t 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 8. 11 9. 12 18 13 12 9 8 25 18 15 13 3 The sample mean is x = 12.4%. 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 a= 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 a = 0.01. (a) What is the level significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 11%; H1: H < 11%; left-tailed O Ho: H # 11%; H1: H = 11%; two-tailed O Ho: H = 11%; H1: µ > 11%; right-tailed O Ho: H = 11%; H1: µ ± 11%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, sincen is large with unknown o. The standard normal, since we assume that x has a normal distribution with known o. The Student's t, since we assume that x has a normal distribution with known o. The standard normal, since we assume that x has a normal distribution with unknown a. 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.)
Transcribed Image Text:Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t 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 8. 11 9. 12 18 13 12 9 8 25 18 15 13 3 The sample mean is x = 12.4%. 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 a= 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 a = 0.01. (a) What is the level significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 11%; H1: H < 11%; left-tailed O Ho: H # 11%; H1: H = 11%; two-tailed O Ho: H = 11%; H1: µ > 11%; right-tailed O Ho: H = 11%; H1: µ ± 11%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, sincen is large with unknown o. The standard normal, since we assume that x has a normal distribution with known o. The Student's t, since we assume that x has a normal distribution with known o. The standard normal, since we assume that x has a normal distribution with unknown a. 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.)
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