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Calculating Distance
- The variable of interest was the average distance separating traps-called trap spacing-developed by
teams of fishermen fishing for the red spiny lobster in St. Johnβs. The trap spacing measurements (in
meters) for a sample of 7 teams from A fishing cooperative, 8 teams from B cooperative are listed. For
this problem, we are interested in comparing the mean trap spacing measurements of the two fishing
cooperatives.
A Cooperative: 93 99 105 94 82 70 86
B Cooperative: 118 94 106 72 90 66 153 98
a) Identify the target parameter for this study. (1)
b) Computer a point estimate of the target parameter. (1)
c) What is the problem with using the normal (z) statistic to find a confidence interval for the
target parameter? (1)
d) Find a 90% confidence interval for the target parameter. (2)
e) Use the interval, part d, to make a statement about the difference in mean trap spacing
measurements of the two fishing cooperatives. (1)
f) What conditions must be satisfied for the inference, part e, to be valid. (1) - There has been little research on how rude behaviors influence a victimβs task performance. Students
enrolled in STAT 217 were randomly assigned to one of two experimental conditions: rudeness
condition (45 students) and control group (53 students). The number of different uses of a brick for each
of the 98 students was recorded and saved in RUDE.TXT file. Conduct a statistical analysis (at πΌ = 0.01)
to determine if the true mean preference level for students in the rudeness group is lower than that for
students in the control group. (10) - The data for investigating the degree to which various environmental conditions affect personality
saved in the TWINSIQ.TXT file. One member (A) of each of the n=32 pairs of twins was reared by a
natural parent; the other member (B) was reared by a relative or some other person. Is there a significant
difference between the average IQ scores of identical twins when one member of the pair is reared by the
natural parents and the other member of the pair is not? Use πΌ = 0.05 to draw your conclusion. (10) - Enough money has been budgeted to collect independent random samples of size π1 = π2 = 100 from
population 1 and 2 in order to estimate π1 β π2. Prior information indicates that π1 = π2 β 0.6. Have
sufficient funds been allocated to construct a 90% confidence interval for π1 β π2 of width 0.1 or less?
Justify your answer. (5)
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