Question 730308: 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...
Professor Fromanger is interested in testing the ability of students to estimate the speed of a stream
current using a new electronic pygmy meter. Doug “The Shirriff” insists that students can do just
as good a job (and do not require batteries!) using the manual method of estimating the distance
travelled by a floating object for a given time. Doug compared student errors based on a
comparison of their estimated speeds to those calculated using the pygmy meter. (15 marks)
Twenty different students were tested and the following “errors” recorded (note that “+” indicates
the estimated student rate exceeds the actual (i.e., the instrument estimate) and “–” indicates their
estimate was lower):
+0.14 +0.18 +0.13 –0.07 +0.09 –0.08 +0.23 0.01 +0.05 +0.12 +0.17 +0.15
+0.05 –0.03 –0.04 +0.19 +0.16 –0.11 –0.02 –0.06
a) How many students were “exactly” as good as the instrument? (Explain briefly)
b) Develop a confidence interval at 95% and 99% for the actual error of the students.
c) Jeremy is going back to Algonquin this fall: should he take the instrument or rely on the students?
Explain briefly. (Assume next year’s cohort is as good as you! And, this is not real data.)
Answer by lynnlo(4176)   (Show Source):
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