For the past 16 years, the yields of wheat (in tons) grown on a plot at Rothamsted Experimental Station (England) are shown below. The sequence is by year. 3.1 1.6 0.7 1.8 2.1 3.4 3.6 1.2 2.5 2.4 2.9...

For the past 16 years, the yields of wheat (in tons) grown on a plot at Rothamsted Experimental Station (England) are shown below. The sequence is by year.

3.1	1.6	0.7	1.8	2.1	3.4	3.6	1.2	2.5	2.4	2.9	2.2
2.3	2.8	1.7	1.6

Use level of significance 5% to test for randomness about the median.

(a) State the test used.

sign test

rank-sum test

spearman correlation test

runs test

answer: runs test

(b) Give ?.

answer: 0.05

(c) Find the sample test statistic.

(d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find theP-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II.

c ₁
c ₂

Jun 08, 2022

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For the past 16 years, the yields of wheat (in tons) grown on a plot at Rothamsted Experimental Station (England) are shown below. The sequence is by year. 3.1 1.6 0.7 1.8 2.1 3.4 3.6 1.2 2.5 2.4 2.9...

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