{"id":37688,"date":"2024-04-26T23:02:21","date_gmt":"2024-04-26T23:02:21","guid":{"rendered":"http:\/\/localhost\/branding\/sampling-distribution\/"},"modified":"2024-04-26T23:02:21","modified_gmt":"2024-04-26T23:02:21","slug":"sampling-distribution","status":"publish","type":"post","link":"https:\/\/sheilathewriter.com\/blog\/sampling-distribution\/","title":{"rendered":"Sampling Distribution"},"content":{"rendered":"<p>Sampling Distribution<\/p>\n<p>Student\u2019s Name<\/p>\n<p>Institution Affiliation<\/p>\n<p>Course Name and Code<\/p>\n<p>Professor\u2019s Name<\/p>\n<p>Date<\/p>\n<p>Sampling Distribution<\/p>\n<p>The sample proportion for each sample size.<\/p>\n<p>Sample proportion=X\/n<\/p>\n<p>Sample Size (n) Number Correctly Scanned (X) Sample Proportion <\/p>\n<p>25 24 0.96<\/p>\n<p>50 49 0.98<\/p>\n<p>100 95 0.95<\/p>\n<p>200 193 0.965<\/p>\n<p>The single-proportion sampling error for each sample size.<\/p>\n<p>Single-proportion sampling error=\u221a ((P(1-P))\/n)<\/p>\n<p>Sample Size (n) Number Correctly Scanned (X) Sample Proportion  Single-proportion sampling error<\/p>\n<p>25 24 0.96 0.039191836<\/p>\n<p>50 49 0.98 0.01979899<\/p>\n<p>100 95 0.95 0.021794495<\/p>\n<p>200 193 0.965 0.012995191<\/p>\n<p>The probability of finding 198 correctly scanned packages, for a sample of size n=200.\u00a0<\/p>\n<p>Since the computer scanner can read a bar code on a package correctly 97%, p=0.97<\/p>\n<p>Excel formula<\/p>\n<p>=BINOM.DIST(198, 200, 0.97, FALSE)<\/p>\n<p>= 0.043042647<\/p>\n<p>Thus, the probability of finding 198 correctly scanned packages, for a sample of size n=200 is 0.043042647<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sampling Distribution Student\u2019s Name Institution Affiliation Course Name and Code Professor\u2019s Name Date Sampling Distribution The sample proportion for each<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-37688","post","type-post","status-publish","format-standard","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.5 - 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