The data shown below 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). Complete parts (a) through (c). $3171 $1042 $706 $658 $7810 $1783 $3368 $2062 $2658 $1375 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table, Click here to view the table of critical t-values. (a) Draw a boxplot to check for outliers. Choose the correct answer below. O A. OB. Oc. OD. o 2000 4000 4000 2000 4000 4000 2000 (b) Construct and interpret a 95% confidence interval for the population mean cost of repair. Does the boxplot suggest that it is reasonable to construct a confidence interval for the population mean? O A. Yes, the distribution is roughly symmetric and there are no outliers. O B. No, the boxplot shows there are outliers. OC. No, the distribution is roughly symmetric with no outliers. O D. Yes, the distribution is highly skewed with outliers.
The data shown below 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). Complete parts (a) through (c). $3171 $1042 $706 $658 $7810 $1783 $3368 $2062 $2658 $1375 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table, Click here to view the table of critical t-values. (a) Draw a boxplot to check for outliers. Choose the correct answer below. O A. OB. Oc. OD. o 2000 4000 4000 2000 4000 4000 2000 (b) Construct and interpret a 95% confidence interval for the population mean cost of repair. Does the boxplot suggest that it is reasonable to construct a confidence interval for the population mean? O A. Yes, the distribution is roughly symmetric and there are no outliers. O B. No, the boxplot shows there are outliers. OC. No, the distribution is roughly symmetric with no outliers. O D. Yes, the distribution is highly skewed with outliers.
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Question
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The data shown below 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). Complete parts (a) through (c).
Transcribed Image Text:The data shown below 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). Complete parts (a) through (c).
$3171 $1042 $706 $658
$1783 $3368 $2062 $2658 $1375
$7810
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Click here to view the table of critical t-values.
(a) Draw a boxplot to check for outliers. OChoose the correct answer below.
O A.
В.
Oc.
D.
2000
4000
2000
4000
2000
4000
2000
4000
(b) Construct and interpret a 95% confidence interval for the population mean cost of repair.
Does the boxplot suggest that it is reasonable to construct a confidence interval for the population mean?
A. Yes, the distribution is roughly symmetric and there are no outliers.
B. No, the boxplot shows there are outliers.
C. No, the distribution is roughly symmetric with no outliers.
D. Yes, the distribution is highly skewed with outliers.
Transcribed Image Text:If the boxplot suggests a confidence interval can be constructed, calculate and interpret the lower bound and the upper bound of the confidence interval. Select the correct choice below and, if necessary, fill in the answer boxes to complete your
choice.
(Round to the nearest dollar. Use ascending order.)
A. There is a 95% probability that the mean cost of repair is between $
and $
В.
We are 95% confident that the mean cost of repair is between $
and $
C. The confidence interval should not be constructed.
(c) 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.
A. Wider, because there is more variability in the data because variability in the repair cost of the car has been added.
B. Narrower, because taking a second random sample will always lead to a narrower confidence interval.
C. Narrower, because there is less variability in the data because any variability caused by the different types of vehicles has been removed.
D. Wider, because taking a second random sample will always lead to a wider confidence interval.
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