Q$11\mathrm{.}1$ Use data on Table $11\mathrm{.}1$ to perform the normality test using other methods, i$.$e$.$ Jarque$-$Bera, Anderson$-$Darling and Lilliefors tests, and compare the results with the Shapiro$-$Wilk's test of Example Problem $11\mathrm{.}2.$

Q$\mathrm{.}11\mathrm{.}2$ Given the mean monthly temperature measurements of two nearby towns $30km$ apart taken for $12$ month period. Compute the Spearman's coefficient of rank correlation.

Table $11\mathrm{.}2$Q: Mean monthly Temperature Measurements

$\backslash$table$[[$Mean Monthly Temperature, $C,,,],[$Day$,$Jan.,Feb.,Mar.,Apr.,May,June,July,Aug.,Sept.,Oct.,Nov.,Dec.$],[$Town$,,,,,,,,,,,,],[$Town$-$A$,27\mathrm{.}2,27\mathrm{.}5,27\mathrm{.}0,27\mathrm{.}2,26\mathrm{.}6,25\mathrm{.}5,24\mathrm{.}2,24\mathrm{.}5,24\mathrm{.}7,25\mathrm{.}5,26\mathrm{.}4,26\mathrm{.}0],[$Town$-$B$,29\mathrm{.}0,29\mathrm{.}4,28\mathrm{.}8,29\mathrm{.}2,28\mathrm{.}8,27\mathrm{.}3,26\mathrm{.}5,26\mathrm{.}4,27\mathrm{.}3,27\mathrm{.}5,26\mathrm{.}6,28\mathrm{.}8]]$

Q$\mathrm{.}11\mathrm{.}3$ In Table $11\mathrm{.}3$Q are input data set on questionnaire responses for $130$ teachers with respect to the implementation of Total Quality Management $($TQM$)$ in selected Secondary Schools in Rivers State, Nigeria. Compute Kendall's$-$W statistic $($or coefficient of concordance$)$ amongst $130$ teachers via: a$)$ manual computation; b$)$ computer$-$aided Excel spread sheet or XLSTAT option; and c$)$ compare results for a$)$ and b$).$