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Chi-square test for Normality

See the attached file.

(13.26)

The outstanding balances for 500 credit-card customers are listed in file XR13026. Using the 0.10 level of significance, examine whether the data could have come from a normal distribution. Data is given in the spread sheet.

Balance
3917 3268 3032 3754 3508 3575 3297 3300 3155 3790 3153 3262 2871
3968 3762 3813 3503 3262 3702 3452 4334 4167 3677 3618 3755 3777
3176 3492 3685 2983 3207 3451 3301 3812 4107 3942 3482 3396 3327
3318 4095 3361 3662 3319 3980 4036 4181 3556 3407 3114 3361 3698
4282 4165 3633 3881 4023 4082 3366 3019 3156 3413 3902 3900 3443
3666 4252 3472 2836 3451 3472 3827 4163 3821 3391 3763 3459 3927
2585 3547 3449 3490 3319 3913 3076 3931 3761 3451 3566 3791 3605
3831 3483 4008 3444 3403 3036 3458 3872 3804 3581 3210 3891 3692
3684 3840 3595 3845 3352 3640 3670 3816 3752 3411 3615 3961 3568
4213 3691 4263 3544 3416 3202 3388 3730 3638 3409 3264 3184 3733
3857 3877 2993 3748 3189 3891 3757 3789 3016 3658 3117 3998 3281
3142 3584 3337 3288 3246 3875 3103 3427 3369 3462 3338 3534 3362
2876 3349 2953 3332 3423 3397 4552 2843 2953 3278 3276 3758 3549
3925 3541 3742 3497 3742 3716 3804 3204 3547 3783 3353 3375 3684
3131 4014 3671 2803 3715 3367 3492 3170 3689 3712 3534 3399 3480
3409 3475 3942 3975 3692 3206 3682 3284 3520 4104 3868 3262 3306
3288 2962 3480 2959 3865 3535 3088 3557 3685 3764 3785 4095 3573
3221 3618 3576 3318 3878 2926 3099 3427 3253 3920 3700 3544 3187
4050 2945 3009 4093 3880 3265 4167 3438 3468 3218 3760 3989 3068
3248 3917 3834 3673 3497 4084 3864 3689 3420 3272 3541 3716 2750
2743 2955 3932 3132 3571 3537 3840 4106 3455 3725 3644 3101
3613 3119 3383 3516 3465 3382 3569 3036 4155 4054 2903 3458
3094 3181 3426 3564 2848 3965 3667 3366 3846 3448 2975 2626
3599 2921 3157 3765 4360 4083 3158 3879 3766 3139 3184 4196
3215 4057 3024 3571 3243 3717 3354 3757 3425 3905 3520 3707
2818 3379 3444 3848 3402 3048 3351 2993 4182 2862 4044 3766
3417 3453 3221 3450 2980 3832 3881 3894 3378 3527 3470 3368
3514 3736 3924 3264 3592 3476 3383 3879 3154 3363 3357 3767
3330 3622 3330 4047 3278 3519 2614 4109 3605 3562 3596 3092
3623 3338 3391 3503 3875 2870 3244 3536 3735 3593 3094 4269
3769 3697 3024 3142 2991 3407 3603 3174 4145 3689 3225 3357
3860 3771 2973 3614 3266 3422 3210 3900 3459 3132 3333 3520
3897 3623 3322 3002 3307 3622 2908 3690 3848 3703 3383 3852
3514 3512 3472 3110 4191 3281 3560 3157 3137 3922 3877 3137
4121 3704 3704 3318 3466 3925 3331 3417 4435 3230 3423 3401
3378 3696 2946 4087 3525 3456 3064 3193 3156 3995 3482 3703
3846 3490 3802 3817 3683 3863 3529 3484 3184 3538 3784 3792
3401 3722 4397 3719 3601 3776 3352 4389 3738 3451 4086 3458
3186 3570 3644 3941 3840 3440 3995 3679 3214 3365 4367 3322
2813 2987 3839 3701 3837 3615 3341 3500 3933 3062 3592 3479

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Solution Summary

The solution provides step by step method for the calculation of chi square test for normality. Formula for the calculation and Interpretations of the results are also included.

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