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 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.
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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