{"id":199531,"date":"2025-03-12T04:54:34","date_gmt":"2025-03-12T04:54:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=199531"},"modified":"2025-03-12T04:54:37","modified_gmt":"2025-03-12T04:54:37","slug":"which-of-the-following-statements-regarding-pert-analysis-is-not-true","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/12\/which-of-the-following-statements-regarding-pert-analysis-is-not-true\/","title":{"rendered":"Which of the following statements regarding PERT analysis is NOT true"},"content":{"rendered":"\n

Which of the following statements regarding PERT analysis is NOT true? <\/p>\n\n\n\n

A Project standard deviation is the sum of all critical activity standard deviations. <\/p>\n\n\n\n

B Each activity has three estimates of its duration. <\/p>\n\n\n\n

C Only critical activities contribute to the project variance. <\/p>\n\n\n\n

D The most likely time is different from the expected activity time. <\/p>\n\n\n\n

E Project variance is the sum of all critical activity variances.<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The correct answer is:<\/p>\n\n\n\n

A. Project standard deviation is the sum of all critical activity standard deviations.<\/strong><\/p>\n\n\n\n

Explanation:<\/strong><\/h3>\n\n\n\n

Program Evaluation and Review Technique (PERT) is a project management tool used to analyze and manage the time required to complete tasks within a project. It helps in dealing with uncertainty by considering three time estimates for each activity: Optimistic (O), Pessimistic (P), and Most Likely (M).<\/strong><\/p>\n\n\n\n

Now, let’s analyze the statements:<\/p>\n\n\n\n

    \n
  • Statement A (Incorrect Statement)<\/strong>: The project standard deviation is not<\/strong> the sum of all critical activity standard deviations. Instead, the project standard deviation is the square root of the sum of the variances of all critical activities<\/strong>. This is derived using statistical principles, where variances add up, but standard deviations do not simply sum up.<\/li>\n\n\n\n
  • Statement B (True)<\/strong>: Each activity in PERT has three time estimates\u2014Optimistic (O), Pessimistic (P), and Most Likely (M). These estimates help calculate the Expected Time (TE) using the formula:
    [
    TE = \\frac{O + 4M + P}{6}
    ]<\/li>\n\n\n\n
  • Statement C (True)<\/strong>: Only critical activities contribute to the project variance because they directly impact the project’s duration. Non-critical activities have slack time and do not influence overall project variance.<\/li>\n\n\n\n
  • Statement D (True)<\/strong>: The most likely time (M) represents the mode of the distribution, whereas the expected time (TE) is the weighted average of the three estimates, so they are generally different.<\/li>\n\n\n\n
  • Statement E (True)<\/strong>: The project variance<\/strong> is computed as the sum of variances of all activities on the critical path<\/strong>, not standard deviations.<\/li>\n<\/ul>\n\n\n\n

    Thus, option A is incorrect<\/strong>, making it the right choice for the answer.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Which of the following statements regarding PERT analysis is NOT true? A Project standard deviation is the sum of all critical activity standard deviations. B Each activity has three estimates of its duration. C Only critical activities contribute to the project variance. D The most likely time is different from the expected activity time. E […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-199531","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199531","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=199531"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/199531\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=199531"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=199531"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=199531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}