The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. 68.06 79.92 68.96 84.63 79.47 86.15 101.89 98.73 Click the icon to view the table of critical t-values. (round to two decimal places as fecutu. (b) Construct and interpret a 95% confidence interval for the mean tax paid fo a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) OA. There is a between $ OB. One can be probability that the mean travel tax for all cities is and $ confident that the mean travel tax for all cities is % between $ and $ OC. The travel tax is between $ and $ and $ for % of all cities. OD. One can be % confident that the all cities have a travel tax betwee $ and $

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**Text Transcription and Explanation for Educational Website:**

---

The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.

**Data:**  
68.06, 79.92, 68.96, 84.63, 79.47, 86.15, 101.89, 98.73  

*Note:* Click the icon to view the table of critical t-values.

**Task (b):** Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.

Select the correct choice below and fill in the answer boxes to complete your choice.  
*(Round to two decimal places as needed.)*

- **A.** There is a ___% probability that the mean travel tax for all cities is between $___ and $___.
  
- **B.** One can be ___% confident that the mean travel tax for all cities is between $___ and $___.
  
- **C.** The travel tax is between $___ and $___ for ___% of all cities.
  
- **D.** One can be ___% confident that all the cities have a travel tax between $___ and $___.

**Graph and Diagram Explanation:**

There are no explicit graphs or diagrams mentioned in the transcription. However, the reference to a "normal probability plot" and a "boxplot" suggests that earlier in the process, these visual tools might have been used to determine whether the data are normally distributed and whether there are any outliers.

- **Normal Probability Plot:** This is typically a graphical technique to assess if a set of data follows a normal distribution. Data points are plotted against a theoretical normal distribution in such a way that the points should form an approximately straight line.

- **Boxplot:** This is a standardized way of displaying the distribution of data based on a five-number summary ("minimum", first quartile (Q1), median, third quartile (Q3), and "maximum"). Boxplots can reveal outliers and show how the data is spread out.

These tools underpin the confidence interval calculations by ensuring the assumptions of normality and the absence of outliers are met.

--- 

This transcription and explanation provide clarity on the tasks
Transcribed Image Text:**Text Transcription and Explanation for Educational Website:** --- The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. **Data:** 68.06, 79.92, 68.96, 84.63, 79.47, 86.15, 101.89, 98.73 *Note:* Click the icon to view the table of critical t-values. **Task (b):** Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. *(Round to two decimal places as needed.)* - **A.** There is a ___% probability that the mean travel tax for all cities is between $___ and $___. - **B.** One can be ___% confident that the mean travel tax for all cities is between $___ and $___. - **C.** The travel tax is between $___ and $___ for ___% of all cities. - **D.** One can be ___% confident that all the cities have a travel tax between $___ and $___. **Graph and Diagram Explanation:** There are no explicit graphs or diagrams mentioned in the transcription. However, the reference to a "normal probability plot" and a "boxplot" suggests that earlier in the process, these visual tools might have been used to determine whether the data are normally distributed and whether there are any outliers. - **Normal Probability Plot:** This is typically a graphical technique to assess if a set of data follows a normal distribution. Data points are plotted against a theoretical normal distribution in such a way that the points should form an approximately straight line. - **Boxplot:** This is a standardized way of displaying the distribution of data based on a five-number summary ("minimum", first quartile (Q1), median, third quartile (Q3), and "maximum"). Boxplots can reveal outliers and show how the data is spread out. These tools underpin the confidence interval calculations by ensuring the assumptions of normality and the absence of outliers are met. --- This transcription and explanation provide clarity on the tasks
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