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##### [solution] » a) (5 marks) At the 1% significance level, carry out the most

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a) (5 marks) At the 1% significance level, carry out the most
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a) (5 marks) At the 1% significance level, carry out the most appropriate test to determine if there are any significant differences among the five varieties.  SHOW ALL STEPS.

b) (1 mark) What is the best estimate for the common standard deviation of the 5 populations?

c)  At the 95% confidence level, perform the Bonferroni method of multiple comparisons to determine which pairs of orange varieties produce different mean yield. SHOW ALL STEPS, including compilation of the results in a matrix and giving the conclusion both in a means comparisons diagram and in words. Note: You only have to calculate the margin of error once since all sample sizes are equal.

d) Suppose varieties A and B were planted in Texas, varieties C and D in Florida, and variety E in California. Is the combined mean yield of the Texas varieties different from the combined mean yield of the Florida varieties?  Define a linear combination of means to address this question.  Then, calculate a 99% confidence interval for this linear combination of means. SHOW ALL STEPS.

e) Suppose varieties A and B were planted in Texas, varieties C and D in Florida, and variety E in California. Is the combined mean yield of the Texas varieties different from the mean yield of the California variety?  Define a linear combination of means to address this question.  Then, at the 5% significance level, carry out the most appropriate test to answer the question. SHOW ALL STEPS

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This question was answered on: Feb 21, 2020

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