sample of 16 claims in the county reported the percentage of their wheat lost to hail. 13 8 11 13 11 19 14 13 6 11 22 18 15 8 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 o = 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 of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Hg: = 11%; Hạ:u< 11%; left-tailed O Ho: H = 11%; H: u * 11%; two-tailed O Hg: H* 11%; H: u = 11%; two-tailed O Ha: t 11%: H 11%: rioht-tailed
sample of 16 claims in the county reported the percentage of their wheat lost to hail. 13 8 11 13 11 19 14 13 6 11 22 18 15 8 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 o = 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 of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Hg: = 11%; Hạ:u< 11%; left-tailed O Ho: H = 11%; H: u * 11%; two-tailed O Hg: H* 11%; H: u = 11%; two-tailed O Ha: t 11%: H 11%: rioht-tailed
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:onally,
Insurance company is studying wneat hail damage claimms in a
Pd. A random
sample of 16 claims in the county reported the percentage of their wheat lost to hail.
13 8 11 13 11 19 14 1з
6 11 22 18 15
8 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
o = 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 of significance?
State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
O Ho: H= 11%; H: u < 11%; left-tailed
O Ho: 4 = 11%; H: u + 11%; two-tailed
%3D
O Ho: H+ 11%; H: u = 11%; two-tailed
O Ho: H = 11%; Hị: u > 11%; right-tailed
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The Student's t, since we assume that x has a normal distribution with known a.
The standard normal, since we assume that x has a normal distribution with unknown o.
O The Student's t, since n is large with unknown a.
O The standard normal, 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.)
Sketch the sampling distribution and show the area corresponding to the P-value.
p-3
-2
-1
1
2
3
-2
-1
2
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