Crop researchers plant 34 plots with a new variety of corn. The average yield in bushels...
Crop researchers plant 34 plots with a new variety of corn. The average yield in bushels per acre is 123.33. (Assume SD= 15)
a. What is the shape of the sampling distribution of x (dash above x)? Explain.
b. Find the 90% confidence interval for the mean yield (the mew symbol) for this variety of corn.
c. Find the 95% confidence interval.
d. Find the 99% confidence interval.
e. How do the margins of error change as the confidence level increases?
Homework Answers
(a) As n=34>30, by central limit theorem X-bar follows a Normal distribution.
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Crop researchers plant 34 plots with a new variety of corn. The
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An agricultural researcher plants 40 plots with a new variety of yellow corn. Suppose that the yield per acre for the new variety of yellow corn follows a Normal distribution with an unknown mean of μ and a standard deviation of σ = 12 bushels per acre. Which of the following would produce a confidence interval with a smaller width (or length) than the 95% confidence interval? Plant only 10 plots rather than 40, because 10 are easier to manage...
Let ?? be the average yield in bushels per acre of variety i of corn, i...
Let ?? be the average yield in bushels per acre of variety i of corn, i = 1, 2, 3, 4. In order to test the hypothesis ?0: ?1 = ?2 = ?3 = ?4 at the 5% significance level, four test plots for each of the four varieties of corn are planted. Determine whether we accept or reject ?0 if the yield in bushels per acre of the four varieties of corn are, respectively, as follows: ?1: 158,167,164 ?2:...
9.3-2. Let ; be the average yield in bushels per acre of variety i of corn,...
9.3-2. Let ; be the average yield in bushels per acre of variety i of corn, i = 1,2,3,4. In order to test the hypoth- esis Ho: M1 = M2 = 3 = 44 at the 5% significance level, four test plots for each of the four varieties of corn are planted. Determine whether we accept or reject Ho if the yield in bushels per acre of the four varieties of corn are, respectively, as follows: X: X2: X3: X4:...
A random sample of 9 fields of corn has a mean yield of 38.2 bushels per...
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Use the following scenario to answer Questions 1-6. You work for an agricultural company that develops...
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is d - 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed. 11 X 9 6 7 5 12 y 6...
9.3-2. Let ; be the average yield in bushels per acre of variety i of corn, i = 1,2,3,4. In order to test the hypoth- esis Ho: M1 = M2 = 3 = 44 at the 5% significance level, four test plots for each of the four varieties of corn are planted. Determine whether we accept or reject Ho if the yield in bushels per acre of the four varieties of corn are, respectively, as follows: X: X2: X3: X4:...
Use the following scenario to answer Questions 1-6. You work for an agricultural company that develops a range of products to help famers maximize crop production. You are given the task of evaluating the effectiveness of a new pesticide your company developed. A competing company advertises that their pesticide increased average corn yield by 9 bushels per acre compared to the previous year. Your employer asks you if they can safely claim that their pesticide increased average corn yield by...
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