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.
able[[16,6,10,10,12,18,14,9],[7,11,25,19,15,8,10,3]]
The sample mean is ar{x} ~~12.1%. 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 sigma =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 alpha =0.01.
(a) What is the level of significance?
State the null and alternate hypotheses (in percent). (Enter != for != as needed.)
H_(0):
H_(1):
Will you use a left-tailed, right-tailed, or two-tailed test?
left-tailed
two-tailed
right-tailed
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
We'll use the Student's t, since n is large with unknown sigma .
We'll use the standard normal, since we assume that x has a normal distribution with unknown sigma .
We'll use the Student's t, since we assume that x has a normal distribution with known sigma .
We'll use the standard normal, since we assume that x has a normal distribution with known sigma .
Compute the z value of the sample test statistic. (Round your answer to two decimal places.)
O right-tailed O two-tailed O left-tailed H (a What is the level of significance? way) from the national mean of 11%? Use = 0.01. 1125 10 16 Will you use a left-tailed, right-tailed, or two-tailed test? 19 1012 6 Compute the z value of the sample test statistic. (Round your answer to two decimal places.) O We'll use the Student's t, since n is large with unknown . State the null and alternate hypotheses(in percent).(Enter!=for as needed. 10 15 O We'll use the standard normal, since we assume that x has a normal distribution with known o. O We'll use the Student's t, since we assume that x has a normal distribution with known . (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. 3 8 1814 6 x has a normal distribution and = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either 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