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Determining the target parameter. For each of the
Chapter 8, Problem 95SE(choose chapter or problem)
Problem 95SE
Determining the target parameter. For each of the following studies, give the parameter of interest and state any assumptions that are necessary for the inferences to be valid.
a. To investigate a possible link between jet lag and memory impairment, a University of Bristol (England) neurologist recruited 20 female flight attendants who worked flights across several time zones. Half of the attendants had only a short recovery time between flights and half had a long recovery time between flights. The average size of the right temporal lobe of the brain for the short-recovery group was significantly smaller than the average size of the right temporal lobe of the brain for the long-recovery group (Tampa Tribune, May 23, 2001).
b. In a study presented at the March 2001 meeting of the Association for the Advancement of Applied Sport Psychology, researchers revealed that the proportion of athletes who have a good self-image of their body is 20% higher than the corresponding proportion of nonathletes.
c. A University of Florida animal sciences professor has discovered that feeding chickens corn oil causes them to produce larger eggs (UF News, April 11, 2001). The weight of eggs produced by each of a sample of chickens on a regular feed diet was recorded. Then, the same chickens were fed a diet supplemented by corn oil, and the weight of eggs produced by each was recorded. Themean weight of the eggs produced with corn oil was 3 grams heavier than the mean weight produced with the regular diet.
Questions & Answers
QUESTION:
Problem 95SE
Determining the target parameter. For each of the following studies, give the parameter of interest and state any assumptions that are necessary for the inferences to be valid.
a. To investigate a possible link between jet lag and memory impairment, a University of Bristol (England) neurologist recruited 20 female flight attendants who worked flights across several time zones. Half of the attendants had only a short recovery time between flights and half had a long recovery time between flights. The average size of the right temporal lobe of the brain for the short-recovery group was significantly smaller than the average size of the right temporal lobe of the brain for the long-recovery group (Tampa Tribune, May 23, 2001).
b. In a study presented at the March 2001 meeting of the Association for the Advancement of Applied Sport Psychology, researchers revealed that the proportion of athletes who have a good self-image of their body is 20% higher than the corresponding proportion of nonathletes.
c. A University of Florida animal sciences professor has discovered that feeding chickens corn oil causes them to produce larger eggs (UF News, April 11, 2001). The weight of eggs produced by each of a sample of chickens on a regular feed diet was recorded. Then, the same chickens were fed a diet supplemented by corn oil, and the weight of eggs produced by each was recorded. Themean weight of the eggs produced with corn oil was 3 grams heavier than the mean weight produced with the regular diet.
ANSWER:Step 1 of 3
W'e need to identify parameters of interest, and to state any assumptions which are
necessary for inferences to be valid.
a) Here, the objective is to test whether the average size of the short recovery group
was signi?cantly smaller than the average size of the right temporal lobe of the
brain for long recovery group or not.
W'e need to identify the target parameter for this comparison.
As we know that to compare two averages, we need to consider the difference of
population means as the target parameter.
Therefore, the target parameter is 
Here, ?1 and ?2 are the population means of two populations (short recovery
group and long recovery group) of data having sizes of right temporal lobe of the
brain.