What data/calculations do I need for Queation (5) in order to create the necessa

Question

What data/calculations do I need for Queation (5) in order to create the necessary graphs?

Experiment 2 Statistical Treatment of Data The masses of two types of BBs will be determined by each student. The mass of individual lead BBs will represent the results of experimental determinations with low precision and that of copper clad steel BBs will represent the results of experimental determinations with high precision. Experimental results collected by students will be compared to a collection of 500 BBs which, for practical purposes, is a good representation of an infinite population. The "true" average mass of each population is -0.0773 grams for lead BBs 11-03433 grams for steel BBs Please return the BBs to the TA after you have finished weighing them. Obtain 16 lead BBs and 16 steel BBs from the TA 2. Weigh each of the BBs separately s. Carry out the computations below for each of the two data sets : 213 ), the estimated standard deviation (s), the 95% confidence interval, and the percent error from the "true" average mass for the first two BBs. a) Calculate the measured average ( o.GoU ,E : 372% Steel % error {(x-x) X 100 b) Repeat all the calculations in part a) for the first four BBs, the first 8 BBs, the second 8 BBs, and for all 16 BBs : 0.3378 ·1c. Apply the statistical-l-test" to determine whether the first BBs and he second g BBs are ", o, 50.05 members of the same population. 4. Use a computer to enter your data into Excel or a similar spreadsheet program. Pool your data with that of three other class members and carry out the following procedures. Ja) Calculate the mean for each student's data set b) Calculate the estimated standard deviation for cach of the four student's two data sets c) Calculate the percent absolute uncertainty for each data set 5. Plots of pooled data. a)Make a plot of the mean (%) as a function of the square root of sample size (n). Include points for n 1,4.9,16,25,36.49, and 64. Include error bars (Is) for each mean. Include a line which has y - (true mean") same points used in part 5a. sore sample size. a the same points as used in part 5a. b) Plot the percent absolute uncertainty as a function of the square root of sample size at the c) Plot the absolute value of the 95% confidence interval as a function of the square root of Lead Steel Ltad Lead icc so,004 Z RE : 5,451 % E : 1.46% 7,E :4743% 50,0051

Explanation / Answer

In Part 5, you need to work on pooled data from three other students so you will have following data:

a) Plot Mean of X vs square root of sample size

n = 1,4,9,16,25,36,49,64

sqrt(n) = 1,2,3,4,5,6,7,8

So there will be two plots each for steel and lead. Mean will be calculated for each sample size n = 1,4,9...64

B) Percent Absolute Uncertainty which you have calculated in part 4 for each data set but here you have to calculate with n 1,4,9,16,25,36,49,64 data points at a time

C) Similarly, calculate Absolute value of 95% confidence interval

In Excel command for confidence interval is CONFIDENCE(alpha,standard_dev,size)

alpha = 0.05

Standard deviation will be calculated from std.s for each size n = 1,4,9.....64 respectively

Student 1 Student 2 Student 3 Student 4 Total Lead BB 16 16 16 16 64 Steel BB 16 16 16 16 64

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