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The test-retest method is one way of establishing the reliability of a test. The test is...

The test-retest method is one way of establishing the reliability of a test. The test is administered, and then, at a later date, the same test is re-administered to the same individuals. The correlation coefficient is computed between the two sets of scores. The following test scores were obtained in a test-retest situation. (Give your answers correct to two decimal places.)

First Score 74 89 86 74 64 79 71 74 83 83
Second Score 54 75 77 87 83 61 85 84 92 56

(a) Find r.


(b) Set a 95% confidence interval for ρ.

Lower Limit
Upper Limit
math   Statistics-And-Probability   
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Answer #1

(a) ue have to find teartatianCoetficiest v 2 Sele 14 89 Scale 543996 75 5416 192 1316 Q916 5625 5909 6615 66a2 86 7561 6889 378 1425 0S Zly 64 3136 2 643 5476 81 53la T96142i9 6035 74 621 6 1636 564648 G4S3 6241 S4 16 6889 688q 83 18 S 8530 117 | 754 |-58317 | Со 901the fahrula of aselation (oefftient(r) is given by (a) 2 2. to (5) ()(15) 10(60901,--(111,-〉| lo(53530) -(154) 58 39 70 585858 601010-6o 3729 585300 SC8SIG 1888 5281 16784 - 1888 (1a、〈ws) (129.5531) -1888 94 14.6Noo to find the aogi of n (i-Y) m-a d12, df:1-2- .05 df8 025, df 8 Q 30 6 Now the 95% (T fb (oe衎cient of ca el ation is given b YtE - 0-64oConfidence Inteval - /0.301-0. 986, o.2 け07986 0 5976, 0.11 99%) 1) 95% C.1 -0.59 8くRo99 Looe limit598 UPPo limit ÷ 0.999

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