If you had known average and standard deviation of sample which size is N, you could estimate the range of population average with 95 % probability. In standard normal distribution, sum of area under curve greater than 1.96 and less than – 1.96 is 0.05. There is population average between exception multiplying 1.96 by standard error from average and sum of the multiplied and average, called as 95 % confidence interval (95 % CI).<\/p>\n

$\\displaystyle 95 \\% C.I.= \\mu \\pm 1.96 SE = \\mu \\pm 1.96 \\frac{SD}{\\sqrt N}$ <\/p>\n

$\\mu$ ; Average, SE; standard error, SD; standard deviation<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

If you had known average and standard deviation of sample which size is N, you could estimate the range of pop … “How to estimate 95 % confidence interval of population average from sample average and sample standard deviation?” \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[7],"tags":[42,46,47,48],"class_list":["post-1546","post","type-post","status-publish","format-standard","hentry","category-statistics","tag-95-confidence-interval","tag-population-average","tag-sample-average","tag-sample-standard-deviation"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t