Answered: oan'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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Question

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).

1.8

1.6

2.5

2.1

2.4

2.3

2.6

3.0

1.4

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.

A. H₀: μ ≥ 2

H_a: μ < 2

B. H₀: μ > 2

H_a: μ ≤ 2

C. H₀: μ = 2

H_a: μ ≠ 2

D. H₀: μ ≤ 2

H_a: μ > 2

E. H₀: μ < 2

H_a: μ ≥ 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.)

p-value =________________

(E)What is your conclusion?

A. Do not reject H₀. 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.

B. Reject H₀. 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.

C. Reject H₀. 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.

D. Do not reject H₀. 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.

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