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An insurance company is studying wheat hal damage claima in a county in Colerado. Arandam sampe f 16 daims in the county reported the percentage of their wheat lost to hail. 16 9 10 13 11 22 14 11 B9 23 18 11 10 10 The sample mean is x 12.A%. 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 dstribution and e5.0% De 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%7 Use a 0.01. (a) what is the level of significance? State the null and alternate hypotheses. Wll you use a left-taled, right taled, or two taled test? OH 11% H > 11%; right-taled O Hgi - 11% H 1 two talled H 1 H 1I two-taled (b) what sampling distribution will you use? Explain the rationale for your cholce of samging dstribution O The Studentr's t, since n is large with unknown a. The standard normal, sind we assume thatx has a normal distribution with unknown O The standard normal, since we asume thatx has a normal distribution with known The Student's t, since we asume that x has a ormal distribution with knewn a. Compute the z value of the sample test stattistic. (Round your ansner to twe decimal places) ) Fied Cor estimate) thePralue (Round your aneeer to four decmal places )

An insurance company is studying wheat hal damage claima in a county in Colerado. Arandam sampe f 16 daims in the county reported the percentage of their wheat lost to hail. 16 9 10 13 11 22 14 11 B9 23 18 11 10 10 The sample mean is x 12.A%. 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 dstribution and e5.0% De 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%7 Use a 0.01. (a) what is the level of significance? State the null and alternate hypotheses. Wll you use a left-taled, right taled, or two taled test? OH 11% H > 11%; right-taled O Hgi - 11% H 1 two talled H 1 H 1I two-taled (b) what sampling distribution will you use? Explain the rationale for your cholce of samging dstribution O The Studentr's t, since n is large with unknown a. The standard normal, sind we assume thatx has a normal distribution with unknown O The standard normal, since we asume thatx has a normal distribution with known The Student's t, since we asume that x has a ormal distribution with knewn a. Compute the z value of the sample test stattistic. (Round your ansner to twe decimal places) ) Fied Cor estimate) thePralue (Round your aneeer to four decmal places )

MATLAB: An Introduction with Applications
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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(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we reject the nul hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) State your conclusion in the context of the application. O There is sufficient evidence at the 0.01 level to conclude that the average hail damage to wheat crops in the county in Colorado differs from the national average. © There is insufficient evidence at the 0.01 level to conclude that the average hail damage to wheat crops in the county in Colorado differs from the national average,
Transcribed Image Text:(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we reject the nul hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) State your conclusion in the context of the application. O There is sufficient evidence at the 0.01 level to conclude that the average hail damage to wheat crops in the county in Colorado differs from the national average. © There is insufficient evidence at the 0.01 level to conclude that the average hail damage to wheat crops in the county in Colorado differs from the national average,
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.T An insurance company is studying wheat hal damage claims in a county in Colorado. A random sampia of 16 claims in the county reported the percentage of their wheat lost to hail. 16 9 10 13 11 22 14 11 89 23 18 11 10 10 4 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 3,0. 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%7 Use a 0.01. (a) What is the level of significance? State the null and alternate hypotheses. will you use a left-tailed, right-tailed, or two-tailed test? O Họ: H= 11%; H: p> 11%; right-talled O Họ: H 11%; H: e 11%; two-tailed OHo: = 11%; H: j< 11%; left-tailed OHg: 11%; Hat 11%; two-taled (b) What sampling distribution will you use? Explain the rationale for your cholce of sampling distribution, The Student's t, since n is large with unknown a. The standard normal, since we assume that x has a normal distribution with unknown a. The standard normal, since we assume that x has a normal distribution with known a. The Student's t, since we assume that x has a normal distribution with known 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 hal damage claims in a county in Colorado. A random sampia of 16 claims in the county reported the percentage of their wheat lost to hail. 16 9 10 13 11 22 14 11 89 23 18 11 10 10 4 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 3,0. 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%7 Use a 0.01. (a) What is the level of significance? State the null and alternate hypotheses. will you use a left-tailed, right-tailed, or two-tailed test? O Họ: H= 11%; H: p> 11%; right-talled O Họ: H 11%; H: e 11%; two-tailed OHo: = 11%; H: j< 11%; left-tailed OHg: 11%; Hat 11%; two-taled (b) What sampling distribution will you use? Explain the rationale for your cholce of sampling distribution, The Student's t, since n is large with unknown a. The standard normal, since we assume that x has a normal distribution with unknown a. The standard normal, since we assume that x has a normal distribution with known a. The Student's t, since we assume that x has a normal distribution with known 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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