Total marks for this assignment are 100; this contributes 25% of the module. Task 1: (30 marks)

A student measured the data in the tables below by recording the time, t, it took two different cylinders (one solid and one hollow) with the same dimensions to roll, from rest, down a slope for a fixed distance.

Theory suggests that the hollow cylinder should take longer to travel the same distance as the solid cylinder. Hollow Cylinder times, t/s Solid Cylinder times, t/s 2.08 2.03 1.88 1.88 2.07 2.07 1.79 1.87 2.05 2.01 1.80 1.90 2.04 2.16 1.85 1.78 2.03 2.03 1.90 1.81 2.12 2.01 1.76 1.74 2.06 2.05 1.62 1.73 2.07 2.08 1.72 1.79 1.97 2.11 1.77 1.87 1.99 2.12 1.77 1.82 2.10 2.00 1.81 1.79 2.06 2.01 1.77 1.84 2.07 2.02 1.81 1.83 2.06 1.99 1.84 1.77 2.13 2.07 1.86 1.80 1.98 2.10 1.80 1.73 2.04 2.02 1.78 1.77 2.05 2.11 1.76 1.84 2.03 2.08 1.82 1.95 2.02 2.08 1.81 1.87 2.00 2.07 1.67 1.79 1.97 2.12 1.84 1.89 2.10 2.03 1.74 1.87

To analyse the data it is suggested to the student that she groups the data and produces a histogram for each cylinder showing the distribution of rolling times. The student consults her lecturer who suggests the following class intervals, where t is the rolling time in seconds: A B C 1.50

a.The student decides to use the class intervals shown in column C in the table, explain why this is an appropriate choice for the data from this experiment.

  1. Construct histograms for the experimental data using the class intervals shown in column C of the table above.

  2. Calculate the mean rolling time for each of the cylinders.

  3. Produce a spreadsheet to calculate the standard deviation in the rolling time for each cylinder – the spreadsheet table should show the additional columns required and a print out including the formulae you have used in each cell is required.

  4. Use the “Comparison of Means Test” (Shown below) to determine whether there is significant difference in the rolling time between the two cylinders.

Comparison of means test (i) Calculate the difference between the mean values of each data set.

(ii) Calculate the “Standard error of the difference” using the formula below:

Standard error of difference = √((S1/n1)+ ) (S2/n2) (the frist one is S1 2 and next is S2 2 )

Where: s1 is the standard deviation of data set 1, n1 is the number of measurements in data set 1, s2 is the standard deviation of data set 2 and n2 is the number of measurements in data set 2.

If the difference between the mean values of each data set is greater than twice the standard error of the difference then you can be 95% confident that there is a significant difference between the two sets of data i.e. whatever has been changed between one data set and the other has influenced the results.

Answers
A student measured the data in the tables below by recording the time, t, it took two different cylinders (one solid and one hollow) with the same dimensions to roll, from rest, down a slope for a fixed distance. Theory suggests that the hollow cylinder should take longer to travel the same distance as the solid cylinder. Hollow Cylinder times, t/s Solid Cylinder times, t/s 2.08 2.03 1.88 1.88 2.07 2.07 1.79 1.87 2.05 2.01 1.80 1.90 2.04 2.16 1.85 1.78 2.03 2.03 1.90 1.81 2.12 2.01 1.76 1.74 2.06 2.05 1.62 1.73 2.07 2.08 1.72 1.79 1.97 2.11 1.77 1.87 1.99 2.12 1.77 1.82 2.10 2.00 1.81 1.79 2.06 2.01 1.77 1.84 2.07 2.02 1.81 1.83 2.06 1.99 1.84 1.77 2.13 2.07 1.86 1.80 1.98 2.10 1.80 1.73 2.04 2.02 1.78 1.77 2.05 2.11 1.76 1.84 2.03 2.08 1.82 1.95 2.02 2.08 1.81 1.87 2.00 2.07 1.67 1.79 1.97 2.12 1.84 1.89 2.10 2.03 1.74 1.87 To analyse the data it is suggested to the student that she groups the data and produces a histogram for each cylinder showing the distribution of rolling times. The student consults her lecturer who suggests the following class intervals, where t is the rolling time in seconds: A B C 1.50
nabin
05 May 2011
if anyone can solve this problem then plz help me out, you will get good amount of money guys.
nabin
05 May 2011
Thanks
nabin
05 May 2011
Could you send a copy of this problem to lolo_b01@yahoo.com? I'll see what I can do to help. It looks straightforward enough.
msaima
05 May 2011
ok
nabin
05 May 2011
can you go and check in your inbox plz
nabin
05 May 2011
did you get my email ?
nabin
05 May 2011
Are you there ?
nabin
05 May 2011
check again plz
nabin
05 May 2011
Make sure you have to open with the microsoft word.
nabin
05 May 2011
hello
nabin
05 May 2011
hi
nabin
05 May 2011
Hi, this is Tutorhub admin. A big house rule is that students and tutors DO NOT swap emails addresses - for child safety reasons.
tutorhubadmin
05 May 2011
If you want to hold a private one to one tutoring session, the tutor has to offer to help and the student accept the offer, having pre-loaded their accounts with a cash credit. Otherwise, you can both stay online here and discuss the subject free of charge.
tutorhubadmin
05 May 2011
I will let this conversation continue, under the understanding that you follow house rules from now on.
tutorhubadmin
05 May 2011
Child safety is really important. Email addresses should NEVER appear in these discussions. Good question though, wish I could help, but not my area of expertise :)
jon.ellis
05 May 2011
i tried to request tuter from this site but it couldn't work don't know why...
nabin
05 May 2011
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