Question

b) Civil engineers have developed a 3D model to predict the response of jointed concrete pavements to temperature variations. To check this model, they measured the change in traverse strain on six different occasions and compared this to the modelled values. The table below was obtained.

Change in Strain Field Modelled Date Measurement Measurement Jul 25 -58 -52 Aug 4 69 59 Aug 16 35 32 Sep 3 -32 -24 Oct 26 -40 -39 Nov 3 -83 -71

Use the Minitab output below to answer the following question Minitab Output 4.4

(iii)Test whether the differences between the measurements are normally distributed.

State your:

- hypothesis,
Data are normally distributed
Data are not normally distributed

- the test statistic,

- p-value,

- decision reject(enter 1)/do not reject(enter 0),

- conclusion

Note for conclusion:
-(if you think significantly evident data is normally distributed, enter 1)
-(if you think significantly evident data is not normally distributed, enter 0),
Minitab Output 4.4:

Answer 1

Sol

label the column difference(Field measurements-modelled measurements)

In minitab enter the data

Go to stats>normality we get

Output:

Differences are normally distributed

as p>0.05

e differences between the measurements are normally distributed.

Ho:-
Data are normally distributed

Ha:
Data are not normally distributed

Test statistic AD=0.170

p=0.879

p>0.05

Do not rejectHo

Note for conclusion:

ENTER 1