{"id":597,"date":"2024-06-19T08:56:25","date_gmt":"2024-06-19T05:56:25","guid":{"rendered":"https:\/\/sisu.ut.ee\/measurement\/self-test-4-4\/"},"modified":"2024-06-19T08:56:25","modified_gmt":"2024-06-19T05:56:25","slug":"self-test-4-4","status":"publish","type":"page","link":"https:\/\/sisu.ut.ee\/measurement\/self-test-4-4\/","title":{"rendered":"Self-test 4.4"},"content":{"rendered":"<div id=\"watupro_quiz\" class=\"quiz-area single-page-quiz\">\n<p id=\"submittingExam16\" style=\"display:none;text-align:center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\"><\/p>\n\n\n\n<form action=\"\" method=\"post\" class=\"quiz-form\" id=\"quiz-16\" enctype=\"multipart\/form-data\">\n<div class=\"watu-question \" id=\"question-1\" style=\";\"><div id=\"questionWrap-1\" class=\"   watupro-question-id-68\">\n\t\t\t<div class=\"question-content\"><div><span class=\"watupro_num\">1. <\/span>Which of the following is true?\u00a0There are 5 correct answers.<\/div><input type=\"hidden\" name=\"question_id[]\" id=\"qID_1\" value=\"68\" class=\"watupro-question-id\"><input type=\"hidden\" id=\"answerType68\" class=\"answerTypeCnt1\" value=\"checkbox\"><!-- end question-content--><\/div><div class=\"question-choices watupro-choices-columns \" id=\"questionChoices68\"><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-222\" class=\"answer   answerof-68 \" value=\"222\"><label for=\"answer-id-222\" id=\"answer-label-222\" class=\" answer\"><span><p>Expanded uncertainty is found by multiplying combined standard uncertainty with a coverage factor<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-225\" class=\"answer   answerof-68 \" value=\"225\"><label for=\"answer-id-225\" id=\"answer-label-225\" class=\" answer\"><span><p>Combined standard uncertainty can be calculated from expanded uncertainty by applying square root<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-215\" class=\"answer   answerof-68 \" value=\"215\"><label for=\"answer-id-215\" id=\"answer-label-215\" class=\" answer\"><span><p>Standard uncertainty is uncertainty expressed at roughly 68% confidence level<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-224\" class=\"answer   answerof-68 \" value=\"224\"><label for=\"answer-id-224\" id=\"answer-label-224\" class=\" answer\"><span><p>Expanded uncertainty is roughly equal to the measurement bias<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-223\" class=\"answer   answerof-68 \" value=\"223\"><label for=\"answer-id-223\" id=\"answer-label-223\" class=\" answer\"><span><p>Expanded uncertainty is roughly equal to the measurement error<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-226\" class=\"answer   answerof-68 \" value=\"226\"><label for=\"answer-id-226\" id=\"answer-label-226\" class=\" answer\"><span><p>Combined standard uncertainty can be calculated from expanded uncertainty by dividing it with the coverage factor<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-220\" class=\"answer   answerof-68 \" value=\"220\"><label for=\"answer-id-220\" id=\"answer-label-220\" class=\" answer\"><span><p>Expanded uncertainty expresses the range of values within which the true value lies with 100% probability<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-217\" class=\"answer   answerof-68 \" value=\"217\"><label for=\"answer-id-217\" id=\"answer-label-217\" class=\" answer\"><span><p>Combined standard uncertainty is standard uncertainty expressed at roughly 95% confidence level<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-219\" class=\"answer   answerof-68 \" value=\"219\"><label for=\"answer-id-219\" id=\"answer-label-219\" class=\" answer\"><span><p>Expanded uncertainty is uncertainty that has been found by taking into account more uncertainty sources than in the case of standard uncertainty<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-221\" class=\"answer   answerof-68 \" value=\"221\"><label for=\"answer-id-221\" id=\"answer-label-221\" class=\" answer\"><span><p>Expanded uncertainty is found by adding the standard uncertainties of all input quantities<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-216\" class=\"answer   answerof-68 \" value=\"216\"><label for=\"answer-id-216\" id=\"answer-label-216\" class=\" answer\"><span><p>Standard uncertainty can be found, depending on situation, as standard deviation of parallel measurement results or standard deviation of the mean of parallel measurement results<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-218\" class=\"answer   answerof-68 \" value=\"218\"><label for=\"answer-id-218\" id=\"answer-label-218\" class=\" answer\"><span><p>Combined standard uncertainty is standard uncertainty that has been calculated taking into account all relevant uncertainty sources<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-68[]\" id=\"answer-id-214\" class=\"answer   answerof-68 \" value=\"214\"><label for=\"answer-id-214\" id=\"answer-label-214\" class=\" answer\"><span><p>Standard uncertainty is uncertainty that is found using a standard approach<\/p><\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div>\t\t\t\t\t<div style=\"display:none;\" id=\"liveResult-1\">\t\t   \n\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\">\u00a0Loading...\t\t\t\t\t<\/div>\t\n\t\t\t<\/div> \n\t   \t<p id=\"liveResBtn-68\" style=\"clear:both;\"><input type=\"button\" id=\"liveResultBtn68\" class=\"liveResultBtn1 watupro-live-result-btn\" value=\"See Answer\" onclick=\"WatuPRO.liveResult(68, 1);\"><\/p>\n\t   <div class=\"watu-question \" id=\"question-2\" style=\";\"><div id=\"questionWrap-2\" class=\"   watupro-question-id-69\">\n\t\t\t<div class=\"question-content\"><div><span class=\"watupro_num\">2. <\/span>The result of cadmium determination in waste water was 2.3 mg\/l with combined standard uncertainty 0.21 mg\/l. Please express the expanded uncertainty with 95% coverage probability (normal distribution can be assumed).<\/div><input type=\"hidden\" name=\"question_id[]\" id=\"qID_2\" value=\"69\" class=\"watupro-question-id\"><input type=\"hidden\" id=\"answerType69\" class=\"answerTypeCnt2\" value=\"textarea\"><!-- end question-content--><\/div><div class=\"question-choices \" id=\"questionChoices69\"><p><input type=\"text\" name=\"answer-69[]\" id=\"textarea_q_69\" class=\"watupro-text\" value=\"\" size=\"60\"><\/p><!-- end question-choices--><\/div><!-- end questionWrap--><\/div>\t\t\t\t\t<div style=\"display:none;\" id=\"liveResult-2\">\t\t   \n\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\">\u00a0Loading...\t\t\t\t\t<\/div>\t\n\t\t\t<\/div> \n\t   \t<p id=\"liveResBtn-69\" style=\"clear:both;\"><input type=\"button\" id=\"liveResultBtn69\" class=\"liveResultBtn2 watupro-live-result-btn\" value=\"See Answer\" onclick=\"WatuPRO.liveResult(69, 2);\"><\/p>\n\t   <div class=\"watu-question \" id=\"question-3\" style=\";\"><div id=\"questionWrap-3\" class=\"   watupro-question-id-70\">\n\t\t\t<div class=\"question-content\"><div><span class=\"watupro_num\">3. <\/span>The maximum allowed limit of nitrate content in potatoes is 140 mg\/kg. Which of the following results can we consider to be with at least 95% probability <strong>under<\/strong> this limit? In case of all results the normal distribution can be assumed.<\/div><input type=\"hidden\" name=\"question_id[]\" id=\"qID_3\" value=\"70\" class=\"watupro-question-id\"><input type=\"hidden\" id=\"answerType70\" class=\"answerTypeCnt3\" value=\"checkbox\"><!-- end question-content--><\/div><div class=\"question-choices watupro-choices-columns \" id=\"questionChoices70\"><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-70[]\" id=\"answer-id-231\" class=\"answer   answerof-70 \" value=\"231\"><label for=\"answer-id-231\" id=\"answer-label-231\" class=\" answer\"><span><p>125 mg\/kg\u00a0with relative expanded uncertainty 10%, k=2.<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-70[]\" id=\"answer-id-232\" class=\"answer   answerof-70 \" value=\"232\"><label for=\"answer-id-232\" id=\"answer-label-232\" class=\" answer\"><span><p>120 mg\/kg\u00a0with relative combined standard uncertainty 10%.\u00a0<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-70[]\" id=\"answer-id-230\" class=\"answer   answerof-70 \" value=\"230\"><label for=\"answer-id-230\" id=\"answer-label-230\" class=\" answer\"><span><p>128 mg\/kg\u00a0with combined standard uncertainty 8 mg\/kg.\u00a0<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-70[]\" id=\"answer-id-229\" class=\"answer   answerof-70 \" value=\"229\"><label for=\"answer-id-229\" id=\"answer-label-229\" class=\" answer\"><span><p>132 mg\/kg\u00a0with expanded uncertainty 7 mg\/kg, <em>k<\/em>=2.\u00a0<\/p><\/span><\/label><\/div><div class=\"watupro-question-choice  \" dir=\"auto\"><input type=\"checkbox\" name=\"answer-70[]\" id=\"answer-id-228\" class=\"answer   answerof-70 \" value=\"228\"><label for=\"answer-id-228\" id=\"answer-label-228\" class=\" answer\"><span><p>112 mg\/kg with combined standard uncertainty 12 mg\/kg.\u00a0<\/p><\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div>\t\t\t\t\t<div style=\"display:none;\" id=\"liveResult-3\">\t\t   \n\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\">\u00a0Loading...\t\t\t\t\t<\/div>\t\n\t\t\t<\/div> \n\t   \t<p id=\"liveResBtn-70\" style=\"clear:both;\"><input type=\"button\" id=\"liveResultBtn70\" class=\"liveResultBtn3 watupro-live-result-btn\" value=\"See Answer\" onclick=\"WatuPRO.liveResult(70, 3);\"><\/p>\n\t   <div style=\"display:none\" id=\"question-4\">\n\t<div class=\"question-content\">\n\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sisu.ut.ee\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\">\u00a0Loading...\t<\/div>\n<\/div>\n\n<br>\n\t\n\t\t\t<div class=\"watupro_buttons flex \" id=\"watuPROButtons16\">\n\t\t  <div id=\"prev-question\" style=\"display:none;\"><input type=\"button\" value=\"&lt; 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