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). 1.6 1.5 2.6 2.3 2.3 2.3 2.6 3.0 1.5 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. Hoi H > 2 H:HS2 Hoi #<2 H:#22 Ho: HS2 H₂H>2 H₂:#=2 H₂H=2 Ho#22 H₂H <2 ✓ (b) Compute the sample mean 22 ✓ (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.)
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). 1.6 1.5 2.6 2.3 2.3 2.3 2.6 3.0 1.5 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. Hoi H > 2 H:HS2 Hoi #<2 H:#22 Ho: HS2 H₂H>2 H₂:#=2 H₂H=2 Ho#22 H₂H <2 ✓ (b) Compute the sample mean 22 ✓ (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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
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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).
1.6 1.5 2.6 2.3 2.3 2.3
(intel)
CORE 15
HoiH <2
Η :μ2 2
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.
OHO: H>2
H:HS2
OHO: H≤2
H:H>2
● H₁: H = 2
H:μ*2
O Ho: 422
H₂:μ< 2
2.6 3.0
(b) Compute the sample mean.
2.2
1.5 2.3
(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?
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 purposes.
Reject H. 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.
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
purposes.
O Reject H. 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.
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