Crash Test Results The following data represent the repair cost for a low-impact collision in a simple random sample of miniand micro-vehicles (such as the Chevrolet Aveo or Mini Cooper). In Problem 33 from Section $9.2,$ it was verified that the data come from a population that is normally distributed with no outliers and = 1007.4542 dollar . Construct and interpret a $90 \%$ confidence interval for the standard deviation repair cost of a low-impact collision involving mini- and micro-vehicles. $$ \begin{array}{lrlrr} \hline \$ 3148 & \$ 1758 & \$ 1071 & \$ 3345 & \$ 743 \\ \hline \$ 2057 & \$ 663 & \$ 2637 & \$ 773 & \$ 1370 \\ \hline \end{array} $$
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The following data represent the repair cost for a low-impact collision in a simple random sample of mini- and micro-vehicles (such as the Chevrolet Aveo or Mini Cooper). $$ \begin{array}{lrlrr} \hline \$ 3148 & \$ 1758 & \$ 1071 & \$ 3345 & \$ 743 \\ \hline \$ 2057 & \$ 663 & \$ 2637 & \$ 773 & \$ 1370 \\ \hline \end{array} $$ (a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. (b) Draw boxplot to check for outliers. (c) Construct and interpret a $95 \%$ confidence interval for the population mean cost of repair. (d) Suppose you obtain a simple random sample of size $n=10$ of a Mini Cooper that was in a low-impact collision and determine the cost of repair. Do you think a $95 \%$ confidence interval would be wider or narrower? Explain.
Estimating the Value of a Parameter
Estimating a Population Mean
Crash Test Results for "Mini" Cars The Insurance Institute for Highway Safety (IIHS) routinely conducts crash tests on vehicles to determine the cost of repairs. The following data represcnt the vehicle repair costs for 2009 ]model mini- and micro-cars resulting from front-full and rear-full crash tests at 6 miles per hour. Treat these data as a simple random sample of 14 low-impact crashes Construct and interpret a $90 \%$ confidcnce interval for the mean repair cost of a low-impact bumper crash on a mini- or micro-car. Use the normal probability plot and boxplot to assist in verifying the model requirements.
The following data represent the repair cost for a low-impact collision in a simple random sample of mini- and micro-vehicles. Constructing a 95% confidence interval for the mean repair cost of a low-impact collision involving mini- and micro-vehicles using the Bootstrap t-Method and 200 resamples. 3051 1784 1117 3340 728 2125 648 2624 752 1429. The lower bound of the bootstrap interval is ______ and the upper bound is ______
Ahmet Y.
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