A special bumper was installed on selected vehicles in a large
fleet. The dollar cost of body repairs was recorded for all
vehicles that were involved in accidents over a 1-year period.
Those with the special bumper are the test group and the other
vehicles are the control group, shown below. Each "repair incident"
is defined as an invoice (which might include more than one
separate type of damage).
Statistic | Test Group | Control Group | ||||||||
Mean Damage | X¯¯¯1X¯1 | = | $ | 1,157 | X¯¯¯2X¯2 | = | $ | 1,775 | ||
Sample Std. Dev. | s1 | = | $ | 662 | s2 | = | $ | 827 | ||
Repair Incidents | n1 | = | 17 | n2 | = | 13 | ||||
(a) Construct a 98 percent confidence interval for
the true difference of the means assuming equal variances.
(Round your final answers to 3 decimal
places. Negative values should be indicated by a
minus sign.)
The 98% confidence interval is from --- to ----
(b) Repeat part (a), using the assumption of
unequal variances with Welch's formula for d.f.
(Round the calculation for Welch's df to the nearest
integer. Round your final answers to 3 decimal places. Negative
values should be indicated by a minus sign.)
The 98% confidence interval is from --- to ---
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