Here is my lab and lab work: Questions 1. Compare with the class average from Ta

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Here is my lab and lab work:

Questions 1. Compare with the class average from Table II. Are they equal? Should they be? Explain. ted ave equal because ecn grup mrew same 2. Discuss the "goodness" of the fit (i.e. how well the two curves agree) of Graph I. Consider such features as the location and height of the peak, the widths of the curves, any anomalous points, etc. 3. One definition of an experiment well done is a small SDM. By what factor must we increase the number of darts thrown to decrease SDM by a factor of 4 if the sd remains the same? 4. Compare the SDM's from the groups from Table II with the sd(E) calculated in Table IIa. What do these numbers represent? The qvoups spw x sd U in tabe Ita 5. Through an examination of class total data from Table II, what would you give as an estimation (with an uncertainty) for the mean of the means of all physics lab classes throwing darts this week? 6. If a random person in the class were to throw a single dart, what is the probability that it would land in bin 23? What about bin 29? ts

Explanation / Answer

1.You have already answered.That's right, since number of darts thrown by each group same, group average and the x-double bar are same.
2.Location height of peak in both the theoretical normal distribution curve and dart experiment mostly match, so also the width of the curves. However at bin nos. 24 and 26, there experimental probability is slightly lower than the normal curve and reverse is the situation for bin no.27 showing higher probability compared to the normal distribution cureve.
3.Since SDM is inversely proportional to square root of the no. of observation (here, throwing of dart). If SD remains constant, we must increase the number of darts thrown by a factor of 16.
SDM's from the groups(Table-II) indicate the estimate of population standard deviations from the means of each group, whereas sd(x-bar) is standard deviation of the group means from the population mean.Former is theoretical estimate and latter is actual.
5. The estimate for mean of the means of all physics lab classes throwing darts this week is 24.618 (with error +/- SDM)
6. For a random person throwing a single dart, probability that it would land in bin 23 is 125/1000 (i.e., 0.125) and probability that it would land in bin 29 is 39/1000 (i.e., 0.039).

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