HW3 Redone_Park,SungHyun

# HW3 Redone_Park,SungHyun - Park, Sung Hyun I0868352 HW3...

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, Park Sung Hyun I0868352 HW3 Redone . 11 65☜ H 0 : . vs H 1 : : Rejection Region : , = Find given 9 i. = = . - . = . 5 3413 1587 ii. = = . - . = . 5 3925 1075 iii. = = . - . = . 5 3599 1401 , ( ) . Therefore ii plan has the lowest probability of a Type II error . 13 7☜

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H 0 : . vs H 1 : ( : Descriptive Statistics C2 * Variable N N Mean SE Mean StDev Minimum Q1 Median Q3 Maximum . . . . . . . . C2 12 0 371 7 22 8 78 8 254 0 288 8 392 0 429 0 486 0 ( ) Histogram with Normal Curve of C2 . Therefore I can proceed with the assumption of normality : Test for Equal Variances C2 versus Subscripts % 90 Bonferroni confidence intervals for standard deviations Subscripts N Lower StDev Upper . . . Cameras 6 50 9155 81 5682 200 055 . . . Guard 6 51 3504 82 2648 201 764 - ( ) F Test Normal Distribution = . , - = . Test statistic 0 98 p value 0 986 ( ) Levene's Test Any Continuous Distribution = . , - = . Test statistic 0 00 p value 0 953 Test for Equal Variances for C2 - - . , Because the F test shows that p value is greater than 0 5 I can conclude that , , there is no significant difference in the variances and therefore I can proceed - . with the assumption of equal variances - - : , Two Sample T Test and CI Guard Cameras - Two sample T for Guard vs Cameras SE N Mean StDev Mean . . Guard 6 361 5 82 3 34 . . Cameras 6 381 8 81 6 33
= ( ) - ( ) Difference mu Guard mu Cameras : - . Estimate for difference 20 3 % : . 95 upper bound for difference 66 4 - = ( <): - = - . - = . = T Test of difference 0 vs T Value 0 43 P Value 0 339 DF 9 : : Rejection Region - : T Test for Equal Variances - . - . , Because t is larger than 1 372 and because p value is larger than 1 there is not . , enough evidence to support that guard was better Hence the manager should . employ security cameras . 13 11☜ H 0 : . vs H 1 : : Descriptive Statistics C2 * Variable N N Mean SE Mean StDev Minimum Q1 Median Q3 . . . . . . . C2 40 0 33 450 0 721 4 563 26 000 30 000 33 000 37 000 Variable Maximum . C2 44 000 ( ) Histogram with Normal Curve of C2 . Therefore I can proceed with the assumption of normality : Test for Equal Variances C2 versus Subscripts % 95 Bonferroni confidence intervals for standard deviations Subscripts N Lower StDev Upper . . . Competitor 25 2 53062 3 35261 4 90737

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. . . Tastee 15 2 97134 4 23365 7 17582 - ( ) F Test Normal Distribution = . , - = . Test statistic 0 63 p value 0 305 ( ) Levene's Test Any Continuous Distribution
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## This note was uploaded on 04/07/2012 for the course IBE 340 taught by Professor Valerieozaki during the Spring '09 term at Sophia University.

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HW3 Redone_Park,SungHyun - Park, Sung Hyun I0868352 HW3...

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