An agricultural scientist investigated the impact of a new organic soil conditioner on the yield of heritage tomato plants using a matched-pairs design. After calculating the difference in yield for each pair, there were 16 pairs with non-zero differences ( $N = 16$ ). The calculated Wilcoxon test statistic was found to be $T = 32$ .

Using Table 1 below, explain whether or not the results of this study are significant at the 5% level for a two-tailed test.

Table 1: Critical values of $T\,$ for the Wilcoxon Signed-Ranks Test

$N$	Significant at 0.10 level (two-tailed)	Significant at 0.05 level (two-tailed)	Significant at 0.01 level (two-tailed)
15	30	25	15
16	35	29	19
17	41	34	23
18	47	40	27
19	53	46	32
20	60	52	37

Note: To be significant, the calculated value of $T\,$ must be equal to or less than the critical value shown in the table.

Using Table 1 below, explain whether or not the results of this study are significant at the 5% level for a two-tailed test.

Table 1: Critical values of $T\,$ for the Wilcoxon Signed-Ranks Test

$N$	Significant at 0.10 level (two-tailed)	Significant at 0.05 level (two-tailed)	Significant at 0.01 level (two-tailed)
15	30	25	15
16	35	29	19
17	41	34	23
18	47	40	27
19	53	46	32
20	60	52	37

Note: To be significant, the calculated value of $T\,$ must be equal to or less than the critical value shown in the table.

Inferential testing (A-level only)

Question 54

Table 1: Critical values of $T\,$ for the Wilcoxon Signed-Ranks Test

Markscheme

Inferential testing (A-level only)

Question 54

Table 1: Critical values of $T\,$ for the Wilcoxon Signed-Ranks Test

Markscheme

Inferential testing (A-level only)

Question 54

Table 1: Critical values of T T\,T for the Wilcoxon Signed-Ranks Test

Inferential testing (A-level only) Questions

Inferential testing (A-level only)

Question 54

Table 1: Critical values of T T\,T for the Wilcoxon Signed-Ranks Test

Inferential testing (A-level only) Questions

Table 1: Critical values of $T\,$ for the Wilcoxon Signed-Ranks Test

Table 1: Critical values of $T\,$ for the Wilcoxon Signed-Ranks Test