A salesman paid 12 visits to his area sales manager and noted that he had to wait for 10,15,20,17,11,25,30,27,36,40,5 and 26 minutes, respectively, before being called in his office. The area sales manager claims that the salesmen wishing to meet him do not have to wait for more than 20 minutes before being called in. Using the sign test, verify at 0.05 level of significance the claim made by the area sales manager.
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Replacing sample values greater than u - 20 by plus sign and those less than „ 20 M minus sign, and ignoring one sample value equal to 0= 20. we have the following sequence of and signs. (-)(-) (-) (-9 ()(-) (+) (+) (-1 (1) Thus, the %Mile of the test statistic is = 6 is rejected in favour of , if ( 61=1-±, lc 0.05. : For = 6, = 1/2, and - 11 (after ignoring one sample value equal to 20). ( 26)=I-± ;11,2)=0.50. Since ( 6) = 0.50 is greater than = 0.05. n is accepted. It means the claim made by the area sales manager is valid.
Replacing sample values greater than u - 20 by plus sign and those less than „ 20 M minus sign, and ignoring one sample value equal to 0= 20. we have the following sequence of and signs. (-)(-) (-) (-9 ()(-) (+) (+) (-1 (1) Thus, the %Mile of the test statistic is = 6 is rejected in favour of , if ( 61=1-±, lc 0.05. : For = 6, = 1/2, and - 11 (after ignoring one sample value equal to 20). ( 26)=I-± ;11,2)=0.50. Since ( 6) = 0.50 is greater than = 0.05. n is accepted. It means the claim made by the area sales manager is valid.
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