Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particuler landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimatiing purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual tim from a sample of 10 plantings during the past menth follow (times in hours). 2.9 1.4 22 15 1.6 2.6 23 22 25 2.1 With a 0.05 level of significance, test to see whether the mean tree planting time dfers from twe heurs. a. State the null and alternative hypotheses. Ho Select your answer - Select your anewer 2 b. Compute the sample mean. (to 2 decimals) e. Compute the sample standard deviation. (to 4 decimals) d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) (to 3 decimals) p-value Select your answer e. What is your conclusion? We Select your answer- enough evidence to prove that the mean tree-planting time differs from 2 hours. Select your answer reject the null hypothesis. There

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3BGP
icon
Related questions
Question
**Joan's Nursery Analysis**

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 time from a sample of 10 plantings during the past month follow (times in hours):

**Data:**
2.9, 1.6, 1.4, 2.6, 2.3, 2.2, 2.5, 2.2, 1.5, 2.1

**Statistical Analysis:**

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.**
   - (Round to 2 decimals)

c. **Compute the sample standard deviation.**
   - (Round to 4 decimals)

d. **Find the test statistic and p-value.** (Use Table 2 in Appendix B.)
   - (Round to 3 decimals)

e. **Conclusion:**
   - Based on the test, reject the null hypothesis if there is significant evidence to prove the mean tree-planting time differs from 2 hours. Otherwise, do not reject the null hypothesis.
Transcribed Image Text:**Joan's Nursery Analysis** 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 time from a sample of 10 plantings during the past month follow (times in hours): **Data:** 2.9, 1.6, 1.4, 2.6, 2.3, 2.2, 2.5, 2.2, 1.5, 2.1 **Statistical Analysis:** 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.** - (Round to 2 decimals) c. **Compute the sample standard deviation.** - (Round to 4 decimals) d. **Find the test statistic and p-value.** (Use Table 2 in Appendix B.) - (Round to 3 decimals) e. **Conclusion:** - Based on the test, reject the null hypothesis if there is significant evidence to prove the mean tree-planting time differs from 2 hours. Otherwise, do not reject the null hypothesis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL