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3. If 10 sets of randomly selected glass beads are weighed instead of 5 sets of

ID: 3206327 • Letter: 3

Question

3. If 10 sets of randomly selected glass beads are weighed instead of 5 sets of

     randomly selected glass beads,

          a) how will the estimate of the standard deviation of the mass be affected

              (higher, lower, or the same)? Give your reasoning.

          b) how will the “Student’s t” factor be affected? Give your reasoning.

          c) how will the confidence interval for the mean be affected? Give your

              reasoning.

4. If the probability limit for a series of measurements is increased from 95% to

     99%,

          a) how will the “Student’s t” factor be affected (higher, lower, or the same)?

              Give your reasoning.

          b) how will the confidence interval for a single value be affected? Give your

              reasoning.

c) how will the confidence interval for the mean be affected? Give your

    reasoning.

from Experiment:Statistical Analysis of Experimental DENSITY DATA

Explanation / Answer

(3)

(a) Since is inversely proportional to n, as n increases from 5 to 10, will decrease

(b) Standard error of the mean will decrease with decreasing n. The degrees of freedom will increase and the t- score will become lesser for n = 10 than for n = 5.

(c) The width of the confidence interval will decrease. The confidence interval will become narrower.

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