About 11% of the total U.S. wheat crop is destroyed by jail. A random sample of 16 claims reported the percentage is 15, 9, 11, 12, 13, 21, 14, 10, 6, 11, 25, 21, 11, 11, 14, 7. The sample mean is x=13.2. Assume x has a nirmal distribution and thecstandard deviation is 5.0%. Use a=0.01%. What is the level of sigificance? Cimpite z value of the sample test statistic. Find the p value.
About 11% of the total U.S. wheat crop is destroyed by jail. A random sample of 16 claims reported the percentage is 15, 9, 11, 12, 13, 21, 14, 10, 6, 11, 25, 21, 11, 11, 14, 7. The sample
From the provided information,
Sample size (n) = 16
Population mean (µ) = 11
Sample mean (x̅) = 13.2
Population standard deviation (σ) = 5.0
Level of significance (α) = 0.01
According to the claim the hypotheses can be constructed as:
H0: µ = 11
H1: µ ≠ 11
Since, the population standard deviation is known, therefore, the z distribution will be used.
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