[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-481943-105":59,"doc-detail-481943-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","examining-samples-practice-problems","Examining Samples - Practice Problems","","A set of short statistics problems asks students to interpret small samples from real-world scenarios. One compares online versus in-store shopping counts, another estimates the mix of fiction and non-fiction books in a donation box, and a third investigates the relative amounts of nails, screws, and bolts in a bucket. Each item requires deciding what conclusions, if any, can be inferred from the sample data.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/examining-samples-practice-problems/481943/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/examining-samples-practice-problems/481943.png","ImageObject",300,407,{"name":92,"@type":93},"Alexandar","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What conclusion can be drawn from the online vs. in-store shopping sample?","Question",{"text":112,"@type":113},"The sample is too small to make meaningful assumptions about the true number of shoppers in each category.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How can the fiction vs. non-fiction donation sample be interpreted?",{"text":117,"@type":113},"Because the quantities are very close across the samples, it is unlikely that any solid deduction about the donation types can be made.",{"name":119,"@type":110,"acceptedAnswer":120},"What relationship between nails, screws, and bolts is suggested by the sample results?",{"text":121,"@type":113},"The samples indicate there will be more bolts in the bucket than nails or screws.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},481943,1792878033,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},962090768658,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Solve each problem.  \n1) A store manager was trying to figure out how many people did their shopping online compared to doing it in stores. To do this she polled several houses in the nearby neighborhoods. The results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 |\n| --- | --- | --- |\n| \u003Cbr>Online | 3 | 4 |\n| \u003Cbr>In-Store | 2 | 3 |\n\nBased on the information presented can you infer anything about the number of people who did their shopping online vs. in-store?  \nBased on the information presented and the small samples gathered it is impossible to make any meaningful assumptions.  \n2) In a library there was a donation box for books. A librarian wanted to estimate how many fiction and how many non-fiction books were in the box so she pulled out a sample. The results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 | \u003Cbr>6 |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Fiction | 41 | 39 | 41 | 42 | 38 | 41 |\n| \u003Cbr>Non-Fiction | 41 | 38 | 39 | 42 | 41 | 40 |\n\nBased on the information presented can you infer anything about the types of books donated?  \nBecause of the very small discrepancy in the quantities it is unlikely any deduction can be made about the types of books donated.  \n3) A carpenter has accumulated a large collection of nails, screws and bolts, which he had randomly thrown together into a bucket. Later he wanted to estimate how many of each he had. To do this he grabbed a handful from the bucket. His results are shown below.  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 |\n| --- | --- | --- | --- | --- | --- |\n| \u003Cbr>nails | 41 | 40 | 44 | 44 | 43 |\n| \u003Cbr>screws | 34 | 30 | 34 | 32 | 35 |\n| \u003Cbr>bolts | 48 | 51 | 48 | 51 | 51 |\n\nBased on the information presented can you infer anything about the relationship between the number of nails,screws and bolts in the bucket?  \nBased on the information presented there will be more bolts in the bucket than nails or screws.  \nSolve each problem.  \n1) A store manager was trying to figure out how many people did their shopping online compared to doing it in stores. To do this she polled several houses in the nearby neighborhoods. The results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 |\n| --- | --- | --- |\n| \u003Cbr>Online | 3 | 4 |\n| \u003Cbr>In-Store | 2 | 3 |\n\nBased on the information presented can you infer anything about the number of people who did their shopping online vs. in-store?  \nBased on the information presented and the small samples gathered it is impossible to make any meaningful assumptions.  \n2) In a library there was a donation box for books. A librarian wanted to estimate how many fiction and how many non-fiction books were in the box so she pulled out a sample. The results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 | \u003Cbr>6 |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Fiction | 41 | 39 | 41 | 42 | 38 | 41 |\n| \u003Cbr>Non-Fiction | 41 | 38 | 39 | 42 | 41 | 40 |\n\nBased on the information presented can you infer anything about the types of books donated?  \nBecause of the very small discrepancy in the quantities it is unlikely any deduction can be made about the types of books donated.  \n3) A carpenter has accumulated a large collection of nails, screws and bolts, which he had randomly thrown together into a bucket. Later he wanted to estimate how many of each he had. To do this he grabbed a handful from the bucket. His results are shown below.  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 |\n| --- | --- | --- | --- | --- | --- |\n| \u003Cbr>nails | 41 | 40 | 44 | 44 | 43 |\n| \u003Cbr>screws | 34 | 30 | 34 | 32 | 35 |\n| \u003Cbr>bolts | 48 | 51 | 48 | 51 | 51 |\n\nBased on the information presented can you infer anything about the relationship between the number of nails,screws and bolts in the bucket?  \nBased on the information presented there will be more bolts in the bucket than nails or screws.  \nSolve each problem.  \n1) A store manager was trying to figure out how many people did thei","cbCaiqKnSuZTUnqS","https://ap.wps.com/l/cbCaiqKnSuZTUnqS","pdf",79945,"English","# Problem 1: Online vs. In-Store Shopping\n# Problem 2: Fiction vs. Non-Fiction Donations\n# Problem 3: Nails, Screws, and Bolts Relationship","[{\"question\":\"What conclusion can be drawn from the online vs. in-store shopping sample?\",\"answer\":\"The sample is too small to make meaningful assumptions about the true number of shoppers in each category.\"},{\"question\":\"How can the fiction vs. non-fiction donation sample be interpreted?\",\"answer\":\"Because the quantities are very close across the samples, it is unlikely that any solid deduction about the donation types can be made.\"},{\"question\":\"What relationship between nails, screws, and bolts is suggested by the sample results?\",\"answer\":\"The samples indicate there will be more bolts in the bucket than nails or screws.\"}]","Examining Samples - Practice Problems | PDF",1790797738]