document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=730308>Question 730308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am trying to solve this problem for confidence intervals with the five step procedure. 1. Describing the population parameter, 2. Checking assumptions, identifying the probability distribution + formula, stating the level of confidence 1-a. 3. collect sample information. 4. determine confidence coefficient, find max error, finding lower and upper confidence limits. 5. State the confidence interval. The question is...<BR>\n" );
document.write( "Professor Fromanger is interested in testing the ability of students to estimate the speed of a stream<BR>\n" );
document.write( "current using a new electronic pygmy meter. Doug “The Shirriff” insists that students can do just<BR>\n" );
document.write( "as good a job (and do not require batteries!) using the manual method of estimating the distance<BR>\n" );
document.write( "travelled by a floating object for a given time. Doug compared student errors based on a<BR>\n" );
document.write( "comparison of their estimated speeds to those calculated using the pygmy meter. (15 marks)<BR>\n" );
document.write( "Twenty different students were tested and the following “errors” recorded (note that “+” indicates<BR>\n" );
document.write( "the estimated student rate exceeds the actual (i.e., the instrument estimate) and “–” indicates their<BR>\n" );
document.write( "estimate was lower):<BR>\n" );
document.write( "+0.14 +0.18 +0.13 –0.07 +0.09 –0.08 +0.23 0.01 +0.05 +0.12 +0.17 +0.15<BR>\n" );
document.write( "+0.05 –0.03 –0.04 +0.19 +0.16 –0.11 –0.02 –0.06<BR>\n" );
document.write( "a) How many students were “exactly” as good as the instrument? (Explain briefly)<BR>\n" );
document.write( "b) Develop a confidence interval at 95% and 99% for the actual error of the students.<BR>\n" );
document.write( "c) Jeremy is going back to Algonquin this fall: should he take the instrument or rely on the students?<BR>\n" );
document.write( "Explain briefly. (Assume next year’s cohort is as good as you! And, this is not real data.) </SPAN>\n" );
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