The data shown below represent the repair cost for a low-impact collision in a simple random sample of mini- and micro-vehicles. Complete parts (a) through (d) below. $3148 $1758 $1065 $3345 $743 $2036 $663 $2663 $773 $1356 Click here to view the table of critical t-values." Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.6 5 (a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Choose the correct answer below. O A. ов. 4- 4- 2- 2- 0- 0- -2- -2- -4- 2000 4000 2000 4000 Repair Cost ($) Repair Cost ($) Is it reasonable to conclude that the data come from a population that is normally distributed? O A. No, because the plotted values are not linear. O B. No, because there are not enough values to make a determination. OC. Yes, because the plotted values are approximately linear. O D. Yes, because the plotted values are not linear. (b) Draw a boxplot to check for outliers. Choose the correct answer below. O A. В. 2000 4000 2000 4000 Does the boxplot suggest that there are outliers? O A. No, there are no points that are outside of the 1.5(IQR) boundary. O B. No, there are no points that are greater than the third quartile or less than the first quartile. O C. Yes, there is at least one point that is outside of the 1.5(IQR) boundary. O D. Yes, there is at least one point that is greater than the third quartile or less than the first quartile. (c) Construct and interpret a 95% confidence interval for population mean cost of repair. Select the correct choice and fill in the answer boxes to complete your choice. (Round to one decimal place as needed.) A. The lower bound is $ and the upper bound is $ We are 95% confident that the mean O B. The lower bound is $ and the upper bound is $ We are 95% confident that the mean /xlitemprod.pearsoncmg.com/api/v1/print/highered 7/28 Expected z-score Expected z-score

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The image appears to be a section of a homework assignment related to statistical analysis. It involves examining repair costs for a sample of mini- and micro-vehicles after a low-impact collision. Here is a detailed transcription:

---

**4. The data shown below represent the repair cost for a low-impact collision in a simple random sample of mini- and micro-vehicles. Complete parts (a) through (d) below.**

Repair Costs: 
- $3148
- $1065
- $743
- $663
- $773
- $1758
- $3345
- $2036
- $2663
- $1356

*Hyperlinks are provided to view statistical tables, such as critical t-values and standard normal distribution tables.*

**(a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Choose the correct answer below.**

Graphs of normal probability plots labeled A and B are shown.

Graph A: Shows a scatter plot with Expected \( z \)-score on the y-axis and Repair Cost (\$) on the x-axis, spread non-linearly.

Graph B: Displays a scatter plot with Expected \( z \)-score on the y-axis and Repair Cost (\$) on the x-axis, more linear than Graph A.

Question: Is it reasonable to conclude that the data come from a population that is normally distributed?
- A. No, because the plotted values are not linear.
- B. No, because there are not enough values to make a determination.
- C. Yes, because the plotted values are approximately linear.
- D. Yes, because the plotted values are not linear.

**(b) Draw a boxplot to check for outliers. Choose the correct answer below.**

Two boxplots labeled A and B are shown.

Boxplot A: The plot looks typical with symmetric whiskers and no obvious outliers.
Boxplot B: Looks similar to A, without apparent outliers.

Question: Does the boxplot suggest that there are outliers?
- A. No, there are no points that are outside of the 1.5(IQR) boundary.
- B. No, there are no points that are greater than the third quartile or less than the first quartile.
- C. Yes, there is at least one point that is outside of the 1.5(IQR) boundary.
- D. Yes
Transcribed Image Text:The image appears to be a section of a homework assignment related to statistical analysis. It involves examining repair costs for a sample of mini- and micro-vehicles after a low-impact collision. Here is a detailed transcription: --- **4. The data shown below represent the repair cost for a low-impact collision in a simple random sample of mini- and micro-vehicles. Complete parts (a) through (d) below.** Repair Costs: - $3148 - $1065 - $743 - $663 - $773 - $1758 - $3345 - $2036 - $2663 - $1356 *Hyperlinks are provided to view statistical tables, such as critical t-values and standard normal distribution tables.* **(a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Choose the correct answer below.** Graphs of normal probability plots labeled A and B are shown. Graph A: Shows a scatter plot with Expected \( z \)-score on the y-axis and Repair Cost (\$) on the x-axis, spread non-linearly. Graph B: Displays a scatter plot with Expected \( z \)-score on the y-axis and Repair Cost (\$) on the x-axis, more linear than Graph A. Question: Is it reasonable to conclude that the data come from a population that is normally distributed? - A. No, because the plotted values are not linear. - B. No, because there are not enough values to make a determination. - C. Yes, because the plotted values are approximately linear. - D. Yes, because the plotted values are not linear. **(b) Draw a boxplot to check for outliers. Choose the correct answer below.** Two boxplots labeled A and B are shown. Boxplot A: The plot looks typical with symmetric whiskers and no obvious outliers. Boxplot B: Looks similar to A, without apparent outliers. Question: Does the boxplot suggest that there are outliers? - A. No, there are no points that are outside of the 1.5(IQR) boundary. - B. No, there are no points that are greater than the third quartile or less than the first quartile. - C. Yes, there is at least one point that is outside of the 1.5(IQR) boundary. - D. Yes
The image displays a t-distribution table used to find critical values in statistical analysis. It includes a small graph illustrating the t-distribution curve with a shaded section labeled "Area in right tail."

**Table Description:**

The table has two main columns:

1. **Degrees of Freedom**: Ranges from 1 to 100, then 1000, and finally 'z' (for large sample sizes resembling a standard normal distribution).

2. **t-Distribution Area in Right Tail**: Represents various levels of significance (α) in the right tail. The columns from left to right are labeled as 0.25, 0.20, 0.15, 0.10, 0.05, 0.025, 0.02, 0.01, 0.005, 0.0025, 0.001, 0.0005. These correspond to the probability values or alpha levels that help determine the critical t-value for a given degree of freedom.

**Graph Description:**

The graph at the top left shows the t-distribution curve with a shaded area indicating the "Area in right tail." This visual representation highlights the portion of the curve beyond the critical value, which corresponds to the probabilities listed in the table.

### Key Observations:

- As the degrees of freedom increase, the critical t-values decrease.
- For large degrees of freedom, the t-distribution approximates the standard normal distribution, reflected in the 'z' row.
- The table is used in hypothesis testing to determine whether to reject the null hypothesis by comparing calculated t-values against critical values.

This table is essential for students and professionals in statistics for conducting t-tests and understanding the distribution of sample data.
Transcribed Image Text:The image displays a t-distribution table used to find critical values in statistical analysis. It includes a small graph illustrating the t-distribution curve with a shaded section labeled "Area in right tail." **Table Description:** The table has two main columns: 1. **Degrees of Freedom**: Ranges from 1 to 100, then 1000, and finally 'z' (for large sample sizes resembling a standard normal distribution). 2. **t-Distribution Area in Right Tail**: Represents various levels of significance (α) in the right tail. The columns from left to right are labeled as 0.25, 0.20, 0.15, 0.10, 0.05, 0.025, 0.02, 0.01, 0.005, 0.0025, 0.001, 0.0005. These correspond to the probability values or alpha levels that help determine the critical t-value for a given degree of freedom. **Graph Description:** The graph at the top left shows the t-distribution curve with a shaded area indicating the "Area in right tail." This visual representation highlights the portion of the curve beyond the critical value, which corresponds to the probabilities listed in the table. ### Key Observations: - As the degrees of freedom increase, the critical t-values decrease. - For large degrees of freedom, the t-distribution approximates the standard normal distribution, reflected in the 'z' row. - The table is used in hypothesis testing to determine whether to reject the null hypothesis by comparing calculated t-values against critical values. This table is essential for students and professionals in statistics for conducting t-tests and understanding the distribution of sample data.
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