**Title: Statistical Analysis of Mean Tree-Planting Time****Introduction:**Joan’s Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost for a project is based on the planting time of trees, shrubs, etc. For cost-estimating purposes, two hours of labor is the standard for planting a medium-sized tree. The following data shows actual times (in hours) from a sample of 10 plantings during the past month:**Data Sample:**1.6, 1.5, 2.6, 2.3, 2.3, 2.3, 3.0, 3.6, 1.0, 2.3**Objective:**Using a 0.05 level of significance, we will test whether the mean tree-planting time differs from two hours.**Steps:****(a) State the Hypotheses:**- Null Hypothesis (H₀): μ = 2 (The mean tree-planting time is equal to two hours.)- Alternative Hypothesis (Hₐ): μ ≠ 2 (The mean tree-planting time is different from two hours.)**(b) Compute the Sample Mean:**- The sample mean has been computed as 2.2 hours.**(c) Compute the Sample Standard Deviation:**- To be computed and rounded to three decimal places.**(d) Compute the Test Statistic and P-value:**- Test Statistic: To be calculated and rounded to three decimal places.- P-value: To be calculated and rounded to four decimal places.**(e) Conclusion:**- Based on the test statistic and p-value, the decision is "Do not reject H₀." This means we cannot conclude that the mean tree-planting time differs from two hours. Hence, there is no reason to change from the two hours for cost-estimating purposes.**Summary:**This statistical analysis helps Joan’s Nursery confirm that the average time for tree planting aligns closely with the estimated standard, ensuring accurate cost assessments for landscaping projects.

Data: 1.6,1.5,2.6,2.3,2.3,2.3,2.6,3,1.5,2.3Note:- According to the Bartleby guidelines experts solve…

Answered: Joan's Nursery specializes in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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