Three projects were chosen to finish the same task. The following table shows the average time (in hours) took for each project to complete the task Project-1 Project-2 Project-3 20 28 20 26 26 19 24 31 23 22 27 22 (i) Use these data to test if the population mean times differ for the three projects. Level of significance is given as 0.5. (ii) At the 0.5 level of significance, test for the equality of the means for project 1 and 3 (using Fisher's LSD method). (iii) Develop a 95% confidence interval estimate of the difference between the means for projects 1 and project 2 (using Fisher's LSD method).

Three projects were chosen to finish the same task. The following table shows the average time (in hours) took for each project to complete the task Project-1 Project-2 Project-3 20 28 20 26 26 19 24 31 23 22 27 22 (i) Use these data to test if the population mean times differ for the three projects. Level of significance is given as 0.5. (ii) At the 0.5 level of significance, test for the equality of the means for project 1 and 3 (using Fisher's LSD method). (iii) Develop a 95% confidence interval estimate of the difference between the means for projects 1 and project 2 (using Fisher's LSD method).

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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Question

Three projects were chosen to finish the same task. The following table shows the average time (in hours) took for each project to complete the task

Project-1	Project-2	Project-3
20	28	20
26	26	19
24	31	23
22	27	22

(i) Use these data to test if the population mean times differ for the three projects. Level of significance is given as 0.5.

(ii) At the 0.5 level of significance, test for the equality of the means for project 1 and 3 (using Fisher's LSD method).

(iii) Develop a 95% confidence interval estimate of the difference between the means for projects 1 and project 2 (using Fisher's LSD method).

PLEASE SHOW ALL HAND WRITTEN STEPS AND DO NOT USE EXCEL OR ANY SOFTWARE

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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