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b) (1 mark) What is the best estimate for the common standard
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          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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