For each of the tests in question 4a c, state E(S) and Var(S) and hence the value of the test statistic, when approximating to the normal distribution Question 4a c a H 0 The population median is 38 H 1 The population median is less than 38 S 4, n 15 b H 0 The population median is 16 2 H 1 The popu...

The test statistic in the Wilcoxon signedrank test is the sum of the ranks of the observations that ...

For each of the tests in question 4a-c, state E(S) and Var(S) and hence the value of

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For each of the tests in question 4a-c, state E(S) and Var(S) and hence the value of the test statistic, when approximating to the normal distribution.

Question 4a-c

a. H₀: The population median is 38.

H₁: The population median is less than 38.

S⁺ = 4, n = 15.

b. H₀: The population median is 16.2.

H₁: The population median is not 16.2.

S⁺ = 5, n = 20

c. H₀: The population median is 154.

H₁: The population median is greater than 154.

S⁺ = 11, n = 15

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Cambridge International AS & A Level Further Mathematics Coursebook

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Authors: Lee Mckelvey, Martin Crozier

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For each of the tests in question 4a-c, state E(S) and Var(S) and hence the value of

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Cambridge International AS & A Level Further Mathematics Coursebook

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