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 claimsin the county reported the percentage of their wheat lost to hail.178.119.121813129 8251815133The 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 thesedata 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 levelsignificance?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-tailedO Ho: H # 11%; H1: H = 11%; two-tailedO Ho: H = 11%; H1: µ > 11%; right-tailedO 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.)

(a) The alpha value is 0.01. Thus, the level of significance is 0.01. Let μ denotes the population…

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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