According to a travel website, workers in a certain country lead the world in vacation days, averaging 22.91 days per year. The following data show the number of paid wacation days for a random sample of 20 workers from this country. Complete parts a through c below. 9 23 6 25 8 20 10 23 13 30 COHERKEND 22 29 23 32 23 26 a. Construct a 95% confidence interval to estimate the average number of paid vacation days for workers from this country. The 95% confidence interval to estimate the average number of paid vacation days for workers from this country is from days to (Round to two decimal places as needed.) b. Do the results from this sample validate the website's findings? days. 23 35 34 D 65

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### Statistical Analysis of Vacation Days

According to a travel website, workers in a certain country lead the world in vacation days, averaging 22.91 days per year. The following data show the number of paid vacation days for a random sample of 20 workers from this country:

- **Vacation Days:** 9, 6, 8, 10, 18, 22, 23, 23, 34, 65, 23, 25, 20, 23, 30, 29, 32, 23, 26, 35

#### Analysis Question:

**b. Do the results from this sample validate the website's findings?**

**Options:**

- **A.** Since the population mean, 22.91, is contained within the 95% confidence interval, it can be said with 95% confidence that the sample does **not validate** the website's findings.
  
- **B.** Since the population mean, 22.91, is contained within the 95% confidence interval, it can be said with 95% confidence that the sample **validates** the website's findings.

- **C.** Since the population mean, 22.91, is **not** contained within the 95% confidence interval, it can be said with 95% confidence that the sample does **not validate** the website's findings.
  
- **D.** Since the population mean, 22.91, is **not** contained within the 95% confidence interval, it can be said with 95% confidence that the sample **validates** the website's findings.

**Answer:**

- **Option B** is selected: The population mean, 22.91, is contained within the 95% confidence interval, confirming the sample validates the website's findings with 95% confidence.
Transcribed Image Text:### Statistical Analysis of Vacation Days According to a travel website, workers in a certain country lead the world in vacation days, averaging 22.91 days per year. The following data show the number of paid vacation days for a random sample of 20 workers from this country: - **Vacation Days:** 9, 6, 8, 10, 18, 22, 23, 23, 34, 65, 23, 25, 20, 23, 30, 29, 32, 23, 26, 35 #### Analysis Question: **b. Do the results from this sample validate the website's findings?** **Options:** - **A.** Since the population mean, 22.91, is contained within the 95% confidence interval, it can be said with 95% confidence that the sample does **not validate** the website's findings. - **B.** Since the population mean, 22.91, is contained within the 95% confidence interval, it can be said with 95% confidence that the sample **validates** the website's findings. - **C.** Since the population mean, 22.91, is **not** contained within the 95% confidence interval, it can be said with 95% confidence that the sample does **not validate** the website's findings. - **D.** Since the population mean, 22.91, is **not** contained within the 95% confidence interval, it can be said with 95% confidence that the sample **validates** the website's findings. **Answer:** - **Option B** is selected: The population mean, 22.91, is contained within the 95% confidence interval, confirming the sample validates the website's findings with 95% confidence.
According to a travel website, workers in a certain country lead the world in vacation days, averaging 22.91 days per year. The following data show the number of paid vacation days for a random sample of 20 workers from this country. Complete parts a through c below.

Data Set:
- 9, 6, 8, 10, 13, 22, 23, 
- 23, 23, 34, 23, 25, 20, 
- 23, 30, 29, 32, 32, 26, 
- 35, 65

a. Construct a 95% confidence interval to estimate the average number of paid vacation days for workers from this country.

The 95% confidence interval to estimate the average number of paid vacation days for workers from this country is from [ ] days to [ ] days. 
(Round to two decimal places as needed.)

b. Do the results from this sample validate the website's findings?
Transcribed Image Text:According to a travel website, workers in a certain country lead the world in vacation days, averaging 22.91 days per year. The following data show the number of paid vacation days for a random sample of 20 workers from this country. Complete parts a through c below. Data Set: - 9, 6, 8, 10, 13, 22, 23, - 23, 23, 34, 23, 25, 20, - 23, 30, 29, 32, 32, 26, - 35, 65 a. Construct a 95% confidence interval to estimate the average number of paid vacation days for workers from this country. The 95% confidence interval to estimate the average number of paid vacation days for workers from this country is from [ ] days to [ ] days. (Round to two decimal places as needed.) b. Do the results from this sample validate the website's findings?
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