The data shown represent the age (in weeks) at which babies first crawl, based on a survey of 12 mothers. Complete parts (a) and (b) (a) Draw a boxplot to check for outliers. Choose the correct answer below. О в. A. 20 30 40 50 60 Q G You OA. Yes, because the distribution is roughly symmetric with no outiers ⒸB. No, because the distribution is symmetric with no outliers. OC. No, because the boxplot shows there are outliers. OD in disloh 20 30 40 50 60 the (b) Construct and interpret a 95% confidence interval for the mean age at which a baby first crawls Does the boxplot suggest that it is reasonable to construct a confidence interval for the population mean? d with outlin Q a G KIDS OC. 20 30 40 50 60 Q Q E OD. 20 30 40 50 60 52 33 44 35 32 47 37 26 26 28

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The image presents a problem related to statistical analysis, specifically about the age in weeks when babies first crawl, based on a survey of 12 mothers. The table on the right lists the ages: 52, 33, 44, 35, 32, 39, 47, 37, 26, 26, 28, 26.

### Problem:

#### (a) Draw a boxplot to check for outliers. Choose the correct answer below:

The image provides four boxplot options labeled A, B, C, and D, displaying the distribution of crawler age data. The boxplots differ in the depiction of the data range, positions of the quartiles, and presence of outliers:

- **Option A** shows a boxplot extending from 20 to 60 weeks with a longer whisker on the right.
- **Option B** presents a symmetrical boxplot with no apparent outliers.
- **Option C** illustrates a boxplot with some outliers, indicated by dots beyond the whiskers.
- **Option D** is skewed with outliers on the left side.

#### (b) Construct and interpret a 95% confidence interval for the mean age at which a baby first crawls. 

*Question*: Does the boxplot suggest that it is reasonable to construct a confidence interval for the population mean?

- **A**: Yes, because the distribution is roughly symmetric with no outliers.
- **B**: No, because the distribution is symmetric with no outliers.
- **C**: No, because the boxplot shows there are outliers.
- **D**: Yes, because the distribution is highly skewed with outliers.

Each choice explains the validity of constructing a confidence interval based on the distribution's characteristics as shown in the boxplot.

In summary, the image explores how to visually detect outliers and determine the feasibility of statistical inference through boxplots.
Transcribed Image Text:The image presents a problem related to statistical analysis, specifically about the age in weeks when babies first crawl, based on a survey of 12 mothers. The table on the right lists the ages: 52, 33, 44, 35, 32, 39, 47, 37, 26, 26, 28, 26. ### Problem: #### (a) Draw a boxplot to check for outliers. Choose the correct answer below: The image provides four boxplot options labeled A, B, C, and D, displaying the distribution of crawler age data. The boxplots differ in the depiction of the data range, positions of the quartiles, and presence of outliers: - **Option A** shows a boxplot extending from 20 to 60 weeks with a longer whisker on the right. - **Option B** presents a symmetrical boxplot with no apparent outliers. - **Option C** illustrates a boxplot with some outliers, indicated by dots beyond the whiskers. - **Option D** is skewed with outliers on the left side. #### (b) Construct and interpret a 95% confidence interval for the mean age at which a baby first crawls. *Question*: Does the boxplot suggest that it is reasonable to construct a confidence interval for the population mean? - **A**: Yes, because the distribution is roughly symmetric with no outliers. - **B**: No, because the distribution is symmetric with no outliers. - **C**: No, because the boxplot shows there are outliers. - **D**: Yes, because the distribution is highly skewed with outliers. Each choice explains the validity of constructing a confidence interval based on the distribution's characteristics as shown in the boxplot. In summary, the image explores how to visually detect outliers and determine the feasibility of statistical inference through boxplots.
**Multiple Choice Question: Understanding Confidence Intervals**

Select the correct choice below and fill in the answer boxes to complete your choice. (Round to one decimal place as needed. Use ascending order.)

- **A.** There is a 95% probability that the mean age at which a baby first crawls is between [ ] weeks and [ ] weeks.

- **B.** We are 95% confident that the mean age at which a baby first crawls is between [ ] weeks and [ ] weeks.

- **C.** The confidence interval should not be constructed.


**Explanation:**

- **Options A and B** assess your understanding of statistical confidence intervals related to the mean age of crawling in babies. 
- **Option C** questions the appropriateness of constructing a confidence interval.

**Note:** Remember to round your answers to one decimal place and ensure the numbers are in ascending order.
Transcribed Image Text:**Multiple Choice Question: Understanding Confidence Intervals** Select the correct choice below and fill in the answer boxes to complete your choice. (Round to one decimal place as needed. Use ascending order.) - **A.** There is a 95% probability that the mean age at which a baby first crawls is between [ ] weeks and [ ] weeks. - **B.** We are 95% confident that the mean age at which a baby first crawls is between [ ] weeks and [ ] weeks. - **C.** The confidence interval should not be constructed. **Explanation:** - **Options A and B** assess your understanding of statistical confidence intervals related to the mean age of crawling in babies. - **Option C** questions the appropriateness of constructing a confidence interval. **Note:** Remember to round your answers to one decimal place and ensure the numbers are in ascending order.
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