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). 2.6 2.3 2.5 3.1 1.6 3.5 2.9 1.5 2.5 1.8 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. Ho : - H, : b. Compute the sample mean. 2.33 (to 2 decimals) c. Compute the sample standard deviation. 0.5355 (to 4 decimals) d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) 1.949 (to 3 decimals) p-value greater than 0.20 e. What is your conclusion? We do reject the null hypothesis. Thereis enough evidence to prove that the mean tree-planting time differs from 2 hours.
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). 2.6 2.3 2.5 3.1 1.6 3.5 2.9 1.5 2.5 1.8 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. Ho : - H, : b. Compute the sample mean. 2.33 (to 2 decimals) c. Compute the sample standard deviation. 0.5355 (to 4 decimals) d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) 1.949 (to 3 decimals) p-value greater than 0.20 e. What is your conclusion? We do reject the null hypothesis. Thereis enough evidence to prove that the mean tree-planting time differs from 2 hours.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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).
2.6
2.3
2.5
3.1
1.6
3.5
2.9
1.5
2.5
1.8
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.
Ho : H
H:H
%23
b. Compute the sample mean.
2.33
(to 2 decimals)
c. Compute the sample standard deviation.
0.5355
(to 4 decimals)
d. Find the test statistic and p-value. (Use Table 2 in Appendix B.)
1.949
(to 3 decimals)
p-value greater than 0.20
e. What is your conclusion?
We do
reject the null hypothesis. There is
enough evidence to prove that the mean tree-planting time differs from 2 hours.
2)
2.
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