Question

Question 1 [10 Marks| The tensile strength of a syubletic fiher und to mabe doth for men's shirts is of interst 60 a manufacturer. It is suspected that the strength is affected by the percentape of cotton in the fiber. Five levels of cottoa percentage are considered: \( 15 \%, 20 \%, 25 \%, 30 \% \) and \( 35 \% \). For each perentage of cotton in the fiber, strength mensurements (time to break when subject to a stross) are made on five pieces of tiber. The dnte in dipplayed below. \begin{tabular}{|c|c|c|c|c|c|} \hline \multirow[b]{2}{*}{ Calmin tovestupr } & \multicolumn{5}{|c|}{ OGervatas } \\ \hline & 1 & 2 & 3 & 4 & 5 \\ \hline 193 & 7 & 7 & is & II & 0 \\ \hline an & 12 & 17 & 12 & is & is \\ \hline 252 & 14 & is & is & 19 & 19 \\ \hline wil & iv. & as & 21 & 19 & \( n \) \\ \hline wh & 7 & 10 & 11 & 15 & 11 \\ \hline \end{tabular} (a) Copy and complete the analysis of variaace table for the data. \begin{tabular}{|c|c|c|c|} \hline Eatref & dr & 58 & \( \mathrm{Ms} \mathrm{V} \) \\ \hline Te & & & \\ \hline & w & 1612 & \\ \hline Tad & 2 & \( 2 \times 14 \) & \\ \hline \end{tabular} (b) State the formula you would uae to estimate the treatment means \( \pi_{\text {is }}^{\text {, corre- }} \) sponding to the mean mtrength per coton percentage level. \( [1] \) (c) Use 0.05 level of sigrificince to test the hypothesis: \( H_{0}: \pi_{1}=0 \). (d) Is it appropriate to perform pairwies comparioons of the treatment menns? Give reagons for your answer. (e) If you had to perform pairwise comparison of the moans, what value of the least significant difference (L.SD) would you use?

          Question 1
[10 Marks|

The tensile strength of a syubletic fiher und to mabe doth for men's shirts is of interst 60 a manufacturer. It is suspected that the strength is affected by the percentape of cotton in the fiber. Five levels of cottoa percentage are considered: \( 15 \%, 20 \%, 25 \%, 30 \% \) and \( 35 \% \). For each perentage of cotton in the fiber, strength mensurements (time to break when subject to a stross) are made on five pieces of tiber. The dnte in dipplayed below.
\begin{tabular}{|c|c|c|c|c|c|}
\hline \multirow[b]{2}{*}{ Calmin tovestupr } & \multicolumn{5}{|c|}{ OGervatas } \\
\hline & 1 & 2 & 3 & 4 & 5 \\
\hline 193 & 7 & 7 & is & II & 0 \\
\hline an & 12 & 17 & 12 & is & is \\
\hline 252 & 14 & is & is & 19 & 19 \\
\hline wil & iv. & as & 21 & 19 & \( n \) \\
\hline wh & 7 & 10 & 11 & 15 & 11 \\
\hline
\end{tabular}
(a) Copy and complete the analysis of variaace table for the data.
\begin{tabular}{|c|c|c|c|}
\hline Eatref & dr & 58 & \( \mathrm{Ms} \mathrm{V} \) \\
\hline Te & & & \\
\hline & w & 1612 & \\
\hline Tad & 2 & \( 2 \times 14 \) & \\
\hline
\end{tabular}
(b) State the formula you would uae to estimate the treatment means \( \pi_{\text {is }}^{\text {, corre- }} \) sponding to the mean mtrength per coton percentage level.
\( [1] \)
(c) Use 0.05 level of sigrificince to test the hypothesis: \( H_{0}: \pi_{1}=0 \).
(d) Is it appropriate to perform pairwies comparioons of the treatment menns? Give reagons for your answer.
(e) If you had to perform pairwise comparison of the moans, what value of the least significant difference (L.SD) would you use?

Question 1
[10 Marks|

The tensile strength of a syubletic fiher und to mabe doth for men's shirts is of interst 60 a manufacturer. It is suspected that the strength is affected by the percentape of cotton in the fiber. Five levels of cottoa percentage are considered: 15 %, 20 %, 25 %, 30 % and 35 %. For each perentage of cotton in the fiber, strength mensurements (time to break when subject to a stross) are made on five pieces of tiber. The dnte in dipplayed below.

[b]2* Calmin tovestupr 5|c| OGervatas

1 2 3 4 5

193 7 7 is II 0

an 12 17 12 is is

252 14 is is 19 19

wil iv. as 21 19 n

wh 7 10 11 15 11

(a) Copy and complete the analysis of variaace table for the data.

Eatref dr 58 MsV

Te

w 1612

Tad 2 2 × 14

(b) State the formula you would uae to estimate the treatment means πis ^, corre- sponding to the mean mtrength per coton percentage level.
[1]
(c) Use 0.05 level of sigrificince to test the hypothesis: H0: π1=0.
(d) Is it appropriate to perform pairwies comparioons of the treatment menns? Give reagons for your answer.
(e) If you had to perform pairwise comparison of the moans, what value of the least significant difference (L.SD) would you use?

Added by Denise M.

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