Discussion:
Q: The outstanding balances for 500 credit-card customers. Using the 0.10 level of significance, examine whether the data could have come from a normal distribution. Data is given below:
|
| Balance |
| 3917 |
| 3968 |
| 3176 |
| 3318 |
| 4282 |
| 3666 |
| 2585 |
| 3831 |
| 3684 |
| 4213 |
| 3857 |
| 3142 |
| 2876 |
| 3925 |
| 3131 |
| 3409 |
| 3288 |
| 3221 |
| 4050 |
| 3248 |
| 2743 |
| 3613 |
| 3094 |
| 3599 |
| 3215 |
| 2818 |
| 3417 |
| 3514 |
| 3330 |
| 3623 |
| 3769 |
| 3860 |
| 3897 |
| 3514 |
| 4121 |
| 3378 |
| 3846 |
| 3401 |
| 3186 |
| 2813 |
| 3268 |
| 3762 |
| 3492 |
| 4095 |
| 4165 |
| 4252 |
| 3547 |
| 3483 |
| 3840 |
| 3691 |
| 3877 |
| 3584 |
| 3349 |
| 3541 |
| 4014 |
| 3475 |
| 2962 |
| 3618 |
| 2945 |
| 3917 |
| 2955 |
| 3119 |
| 3181 |
| 2921 |
| 4057 |
| 3379 |
| 3453 |
| 3736 |
| 3622 |
| 3338 |
| 3697 |
| 3771 |
| 3623 |
| 3512 |
| 3704 |
| 3696 |
| 3490 |
| 3722 |
| 3570 |
| 2987 |
| 3032 |
| 3813 |
| 3685 |
| 3361 |
| 3633 |
| 3472 |
| 3449 |
| 4008 |
| 3595 |
| 4263 |
| 2993 |
| 3337 |
| 2953 |
| 3742 |
| 3671 |
| 3942 |
| 3480 |
| 3576 |
| 3009 |
| 3834 |
| 3932 |
| 3383 |
| 3426 |
| 3157 |
| 3024 |
| 3444 |
| 3221 |
| 3924 |
| 3330 |
| 3391 |
| 3024 |
| 2973 |
| 3322 |
| 3472 |
| 3704 |
| 2946 |
| 3802 |
| 4397 |
| 3644 |
| 3839 |
| 3754 |
| 3503 |
| 2983 |
| 3662 |
| 3881 |
| 2836 |
| 3490 |
| 3444 |
| 3845 |
| 3544 |
| 3748 |
| 3288 |
| 3332 |
| 3497 |
| 2803 |
| 3975 |
| 2959 |
| 3318 |
| 4093 |
| 3673 |
| 3132 |
| 3516 |
| 3564 |
| 3765 |
| 3571 |
| 3848 |
| 3450 |
| 3264 |
| 4047 |
| 3503 |
| 3142 |
| 3614 |
| 3002 |
| 3110 |
| 3318 |
| 4087 |
| 3817 |
| 3719 |
| 3941 |
| 3701 |
| 3508 |
| 3262 |
| 3207 |
| 3319 |
| 4023 |
| 3451 |
| 3319 |
| 3403 |
| 3352 |
| 3416 |
| 3189 |
| 3246 |
| 3423 |
| 3742 |
| 3715 |
| 3692 |
| 3865 |
| 3878 |
| 3880 |
| 3497 |
| 3571 |
| 3465 |
| 2848 |
| 4360 |
| 3243 |
| 3402 |
| 2980 |
| 3592 |
| 3278 |
| 3875 |
| 2991 |
| 3266 |
| 3307 |
| 4191 |
| 3466 |
| 3525 |
| 3683 |
| 3601 |
| 3840 |
| 3837 |
| 3575 |
| 3702 |
| 3451 |
| 3980 |
| 4082 |
| 3472 |
| 3913 |
| 3036 |
| 3640 |
| 3202 |
| 3891 |
| 3875 |
| 3397 |
| 3716 |
| 3367 |
| 3206 |
| 3535 |
| 2926 |
| 3265 |
| 4084 |
| 3537 |
| 3382 |
| 3965 |
| 4083 |
| 3717 |
| 3048 |
| 3832 |
| 3476 |
| 3519 |
| 2870 |
| 3407 |
| 3422 |
| 3622 |
| 3281 |
| 3925 |
| 3456 |
| 3863 |
| 3776 |
| 3440 |
| 3615 |
| 3297 |
| 3452 |
| 3301 |
| 4036 |
| 3366 |
| 3827 |
| 3076 |
| 3458 |
| 3670 |
| 3388 |
| 3757 |
| 3103 |
| 4552 |
| 3804 |
| 3492 |
| 3682 |
| 3088 |
| 3099 |
| 4167 |
| 3864 |
| 3840 |
| 3569 |
| 3667 |
| 3158 |
| 3354 |
| 3351 |
| 3881 |
| 3383 |
| 2614 |
| 3244 |
| 3603 |
| 3210 |
| 2908 |
| 3560 |
| 3331 |
| 3064 |
| 3529 |
| 3352 |
| 3995 |
| 3341 |
| 3300 |
| 4334 |
| 3812 |
| 4181 |
| 3019 |
| 4163 |
| 3931 |
| 3872 |
| 3816 |
| 3730 |
| 3789 |
| 3427 |
| 2843 |
| 3204 |
| 3170 |
| 3284 |
| 3557 |
| 3427 |
| 3438 |
| 3689 |
| 4106 |
| 3036 |
| 3366 |
| 3879 |
| 3757 |
| 2993 |
| 3894 |
| 3879 |
| 4109 |
| 3536 |
| 3174 |
| 3900 |
| 3690 |
| 3157 |
| 3417 |
| 3193 |
| 3484 |
| 4389 |
| 3679 |
| 3500 |
| 3155 |
| 4167 |
| 4107 |
| 3556 |
| 3156 |
| 3821 |
| 3761 |
| 3804 |
| 3752 |
| 3638 |
| 3016 |
| 3369 |
| 2953 |
| 3547 |
| 3689 |
| 3520 |
| 3685 |
| 3253 |
| 3468 |
| 3420 |
| 3455 |
| 4155 |
| 3846 |
| 3766 |
| 3425 |
| 4182 |
| 3378 |
| 3154 |
| 3605 |
| 3735 |
| 4145 |
| 3459 |
| 3848 |
| 3137 |
| 4435 |
| 3156 |
| 3184 |
| 3738 |
| 3214 |
| 3933 |
| 3790 |
| 3677 |
| 3942 |
| 3407 |
| 3413 |
| 3391 |
| 3451 |
| 3581 |
| 3411 |
| 3409 |
| 3658 |
| 3462 |
| 3278 |
| 3783 |
| 3712 |
| 4104 |
| 3764 |
| 3920 |
| 3218 |
| 3272 |
| 3725 |
| 4054 |
| 3448 |
| 3139 |
| 3905 |
| 2862 |
| 3527 |
| 3363 |
| 3562 |
| 3593 |
| 3689 |
| 3132 |
| 3703 |
| 3922 |
| 3230 |
| 3995 |
| 3538 |
| 3451 |
| 3365 |
| 3062 |
| 3153 |
| 3618 |
| 3482 |
| 3114 |
| 3902 |
| 3763 |
| 3566 |
| 3210 |
| 3615 |
| 3264 |
| 3117 |
| 3338 |
| 3276 |
| 3353 |
| 3534 |
| 3868 |
| 3785 |
| 3700 |
| 3760 |
| 3541 |
| 3644 |
| 2903 |
| 2975 |
| 3184 |
| 3520 |
| 4044 |
| 3470 |
| 3357 |
| 3596 |
| 3094 |
| 3225 |
| 3333 |
| 3383 |
| 3877 |
| 3423 |
| 3482 |
| 3784 |
| 4086 |
| 4367 |
| 3592 |
| 3262 |
| 3755 |
| 3396 |
| 3361 |
| 3900 |
| 3459 |
| 3791 |
| 3891 |
| 3961 |
| 3184 |
| 3998 |
| 3534 |
| 3758 |
| 3375 |
| 3399 |
| 3262 |
| 4095 |
| 3544 |
| 3989 |
| 3716 |
| 3101 |
| 3458 |
| 2626 |
| 4196 |
| 3707 |
| 3766 |
| 3368 |
| 3767 |
| 3092 |
| 4269 |
| 3357 |
| 3520 |
| 3852 |
| 3137 |
| 3401 |
| 3703 |
| 3792 |
| 3458 |
| 3322 |
| 3479 |
| 2871 |
| 3777 |
| 3327 |
| 3698 |
| 3443 |
| 3927 |
| 3605 |
| 3692 |
| 3568 |
| 3733 |
| 3281 |
| 3362 |
| 3549 |
| 3684 |
| 3480 |
| 3306 |
| 3573 |
| 3187 |
| 3068 |
| 2750 |