If a test that has reliability r is lengthened by a factor n (n ( 1), the

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If a test that has reliability r is lengthened by a factor n (n ( 1), the reliability R of the new test is given by
nr R(n) = 0<rs1 1+ (n - 1)r

If the reliability is r0.6, the equation becomes

0.6n R(n) 0.4 + 0.6n

(a) Find R(1).
(b) Find R(2); that is, find R when the test length is doubled.
(c) What percent improvement is there in the reliability when the test length is doubled?

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