at is the test statistic? (Round your answer to three decimal places.) at is the p-value? (Round your answer to four decimal places.) value= is your conclusion? Do not reject Ho. We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purpos Do not reject Ho. We cannot conclude that the mean tree-planting time differs from two hours. There is no reason to change from the two hours for cost estimating pu Reject Ho. We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purposes. Reject Ho. We cannot conclude that the mean tree-planting time differs from two hours. There is no reason to change from the two hours for cost estimating purposes. Help? Read It Watch It

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Joan’s Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours):

1.7, 1.6, 2.5, 2.2, 2.5, 2.3, 2.6, 3.0, 1.3, 2.3

With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours.

**(a) State the null and alternative hypotheses.**
- \( H_0 \): \(\mu = 2\)
- \( H_a \): \(\mu \neq 2\)

**(b) Compute the sample mean.**

**(c) Compute the sample standard deviation.** (Round your answer to three decimal places.)

**(d) What is the test statistic?** (Round your answer to three decimal places.)

**What is the p-value?** (Round your answer to four decimal places.)
Transcribed Image Text:Joan’s Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours): 1.7, 1.6, 2.5, 2.2, 2.5, 2.3, 2.6, 3.0, 1.3, 2.3 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. **(a) State the null and alternative hypotheses.** - \( H_0 \): \(\mu = 2\) - \( H_a \): \(\mu \neq 2\) **(b) Compute the sample mean.** **(c) Compute the sample standard deviation.** (Round your answer to three decimal places.) **(d) What is the test statistic?** (Round your answer to three decimal places.) **What is the p-value?** (Round your answer to four decimal places.)
### Statistical Analysis for Tree-Planting Time Study

**Questions:**

(c) Compute the sample standard deviation. (Round your answer to three decimal places.)
   
(d) What is the test statistic? (Round your answer to three decimal places.)
   
(e) What is the p-value? (Round your answer to four decimal places.)
   
    p-value = __________

**Conclusion:**

(e) What is your conclusion?
   
- ○ Do not reject \( H_0 \). We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purposes.
- ○ Do not reject \( H_0 \). We cannot conclude that the mean tree-planting time differs from two hours. There is no reason to change from the two hours for cost estimating purposes.
- ○ Reject \( H_0 \). We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purposes.
- ○ Reject \( H_0 \). We cannot conclude that the mean tree-planting time differs from two hours. There is no reason to change from the two hours for cost estimating purposes.

**Need Help?**

Buttons for additional help:
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- **Watch It**

**Image Description:**

The image shows a screenshot of a MacBook Pro displaying a webpage with a statistical study related to the mean tree-planting time. There are also application icons on the MacBook's dock, indicating apps like Finder, Safari, Mail, Calendar, Notes, Contacts, and Music, among others.
Transcribed Image Text:### Statistical Analysis for Tree-Planting Time Study **Questions:** (c) Compute the sample standard deviation. (Round your answer to three decimal places.) (d) What is the test statistic? (Round your answer to three decimal places.) (e) What is the p-value? (Round your answer to four decimal places.) p-value = __________ **Conclusion:** (e) What is your conclusion? - ○ Do not reject \( H_0 \). We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purposes. - ○ Do not reject \( H_0 \). We cannot conclude that the mean tree-planting time differs from two hours. There is no reason to change from the two hours for cost estimating purposes. - ○ Reject \( H_0 \). We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purposes. - ○ Reject \( H_0 \). We cannot conclude that the mean tree-planting time differs from two hours. There is no reason to change from the two hours for cost estimating purposes. **Need Help?** Buttons for additional help: - **Read It** - **Watch It** **Image Description:** The image shows a screenshot of a MacBook Pro displaying a webpage with a statistical study related to the mean tree-planting time. There are also application icons on the MacBook's dock, indicating apps like Finder, Safari, Mail, Calendar, Notes, Contacts, and Music, among others.
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