Assignment:
The file contains the weight in pounds from a sample of 368 pallets of Boston shingles and 330 pallets of Vermont shingles.
1. For the Boston shingles, construct a 95% confidence interval for the mean weight.
2. For the Vermont shingles, construct a 95% confidence interval estimate for the mean weight.
3. Do you think the assumptions needed to construct the confidence interval estimates in 1 and 2 are valid?
4. Based on the results of 1 and 2, what conclusions can you reach concerning the mean weight of the Boston and Vermont Shingles?
| Boston |
Vermont |
| 3202 |
3792 |
| 3134 |
3652 |
| 3134 |
3652 |
| 3226 |
3726 |
| 3236 |
3728 |
| 3250 |
3676 |
| 3266 |
3704 |
| 3224 |
3656 |
| 3088 |
3666 |
| 3132 |
3648 |
| 3098 |
3708 |
| 3118 |
3682 |
| 3094 |
3680 |
| 3108 |
3670 |
| 3100 |
3728 |
| 3084 |
3708 |
| 3134 |
3678 |
| 3090 |
3660 |
| 3154 |
3718 |
| 3138 |
3636 |
| 3156 |
3644 |
| 3138 |
3684 |
| 3130 |
3688 |
| 3118 |
3724 |
| 3112 |
3682 |
| 3168 |
3660 |
| 3166 |
3672 |
| 3122 |
3692 |
| 3160 |
3672 |
| 3146 |
3700 |
| 3124 |
3694 |
| 3170 |
3706 |
| 3132 |
3650 |
| 3162 |
3692 |
| 3156 |
3746 |
| 3136 |
3728 |
| 3162 |
3726 |
| 3136 |
3714 |
| 3136 |
3730 |
| 3148 |
3768 |
| 3152 |
3740 |
| 3166 |
3720 |
| 3202 |
3626 |
| 3152 |
3692 |
| 3154 |
3730 |
| 3126 |
3726 |
| 3098 |
3734 |
| 3106 |
3712 |
| 3122 |
3684 |
| 3118 |
3718 |
| 3164 |
3742 |
| 3158 |
3736 |
| 3122 |
3730 |
| 3064 |
3666 |
| 3176 |
3664 |
| 3144 |
3688 |
| 3156 |
3694 |
| 3162 |
3684 |
| 3130 |
3688 |
| 3156 |
3688 |
| 3184 |
3702 |
| 3170 |
3676 |
| 3176 |
3656 |
| 3152 |
3632 |
| 3162 |
3652 |
| 3200 |
3658 |
| 3202 |
3684 |
| 3142 |
3670 |
| 3170 |
3678 |
| 3142 |
3674 |
| 3154 |
3674 |
| 3158 |
3634 |
| 3106 |
3684 |
| 3136 |
3708 |
| 3170 |
3670 |
| 3124 |
3684 |
| 3174 |
3746 |
| 3160 |
3688 |
| 3162 |
3702 |
| 3160 |
3666 |
| 3118 |
3670 |
| 3138 |
3700 |
| 3132 |
3658 |
| 3140 |
3664 |
| 3134 |
3682 |
| 3166 |
3672 |
| 3122 |
3730 |
| 3154 |
3712 |
| 3130 |
3720 |
| 3106 |
3700 |
| 3092 |
3722 |
| 3136 |
3728 |
| 3150 |
3692 |
| 3138 |
3726 |
| 3214 |
3686 |
| 3092 |
3708 |
| 3162 |
3732 |
| 3126 |
3724 |
| 3086 |
3730 |
| 3112 |
3698 |
| 3138 |
3686 |
| 3118 |
3680 |
| 3156 |
3732 |
| 3156 |
3718 |
| 3144 |
3700 |
| 3160 |
3718 |
| 3166 |
3666 |
| 3172 |
3714 |
| 3134 |
3706 |
| 3186 |
3718 |
| 3146 |
3712 |
| 3144 |
3688 |
| 3124 |
3736 |
| 3122 |
3706 |
| 3116 |
3720 |
| 3126 |
3714 |
| 3140 |
3740 |
| 3110 |
3724 |
| 3128 |
3744 |
| 3114 |
3728 |
| 3138 |
3728 |
| 3106 |
3680 |
| 3142 |
3652 |
| 3128 |
3634 |
| 3142 |
3640 |
| 3144 |
3728 |
| 3122 |
3724 |
| 3046 |
3704 |
| 3062 |
3668 |
| 3114 |
3684 |
| 3100 |
3652 |
| 3126 |
3756 |
| 3088 |
3702 |
| 3140 |
3840 |
| 3140 |
3696 |
| 3120 |
3702 |
| 3132 |
3732 |
| 3130 |
3736 |
| 3140 |
3752 |
| 3114 |
3696 |
| 3108 |
3732 |
| 3146 |
3702 |
| 3172 |
3640 |
| 3102 |
3672 |
| 3120 |
3756 |
| 3102 |
3710 |
| 3132 |
3736 |
| 3120 |
3726 |
| 3088 |
3800 |
| 3084 |
3784 |
| 3120 |
3804 |
| 3098 |
3740 |
| 3096 |
3730 |
| 3088 |
3778 |
| 3092 |
3718 |
| 3062 |
3810 |
| 3084 |
3786 |
| 3136 |
3766 |
| 3080 |
3736 |
| 3056 |
3738 |
| 3064 |
3726 |
| 3088 |
3764 |
| 3110 |
3678 |
| 3096 |
3728 |
| 3094 |
3716 |
| 3080 |
3856 |
| 3074 |
3816 |
| 3114 |
3792 |
| 3136 |
3808 |
| 3104 |
3802 |
| 3080 |
3746 |
| 3104 |
3800 |
| 3082 |
3780 |
| 3080 |
3756 |
| 3074 |
3768 |
| 3095 |
3768 |
| 3098 |
3728 |
| 3084 |
3724 |
| 3086 |
3736 |
| 3074 |
3760 |
| 3092 |
3708 |
| 3062 |
3688 |
| 3108 |
3650 |
| 3132 |
3636 |
| 3122 |
3628 |
| 3078 |
3656 |
| 3180 |
3630 |
| 3076 |
3730 |
| 3072 |
3662 |
| 3114 |
3746 |
| 3080 |
3726 |
| 3102 |
3702 |
| 3074 |
3678 |
| 3148 |
3676 |
| 3112 |
3738 |
| 3112 |
3598 |
| 3118 |
3718 |
| 3118 |
3738 |
| 3094 |
3766 |
| 3076 |
3750 |
| 3050 |
3740 |
| 3100 |
3784 |
| 3114 |
3760 |
| 3100 |
3804 |
| 3104 |
3798 |
| 3088 |
3804 |
| 3148 |
3714 |
| 3088 |
3720 |
| 3074 |
3760 |
| 3074 |
3650 |
| 3094 |
3686 |
| 3116 |
3750 |
| 3104 |
3690 |
| 3100 |
3686 |
| 3112 |
3718 |
| 3098 |
3732 |
| 3086 |
3702 |
| 3098 |
3706 |
| 3136 |
3660 |
| 3100 |
3686 |
| 3122 |
3650 |
| 3132 |
3678 |
| 3120 |
3708 |
| 3096 |
3706 |
| 3100 |
3646 |
| 3114 |
3698 |
| 3128 |
3644 |
| 3084 |
3642 |
| 3098 |
3746 |
| 3104 |
3714 |
| 3124 |
3674 |
| 3130 |
3626 |
| 3088 |
3592 |
| 3110 |
3642 |
| 3126 |
3646 |
| 3116 |
3734 |
| 3110 |
3654 |
| 3148 |
3672 |
| 3082 |
3684 |
| 3142 |
3692 |
| 3116 |
3676 |
| 3092 |
3666 |
| 3106 |
3640 |
| 3102 |
3704 |
| 3096 |
3650 |
| 3078 |
3616 |
| 3116 |
3706 |
| 3164 |
3770 |
| 3124 |
3740 |
| 3102 |
3726 |
| 3120 |
3706 |
| 3114 |
3756 |
| 3086 |
3724 |
| 3160 |
3718 |
| 3172 |
3706 |
| 3164 |
3654 |
| 3176 |
3730 |
| 3124 |
3734 |
| 3102 |
3704 |
| 3164 |
3734 |
| 3152 |
3662 |
| 3144 |
3640 |
| 3146 |
3618 |
| 3166 |
3644 |
| 3096 |
3586 |
| 3146 |
3566 |
| 3134 |
3674 |
| 3128 |
3842 |
| 3176 |
3764 |
| 3166 |
3650 |
| 3186 |
3652 |
| 3158 |
3740 |
| 3136 |
3814 |
| 3124 |
3754 |
| 3196 |
3714 |
| 3178 |
3634 |
| 3150 |
3626 |
| 3160 |
3658 |
| 3092 |
3672 |
| 3122 |
3662 |
| 3116 |
3662 |
| 3122 |
3666 |
| 3128 |
3732 |
| 3172 |
3710 |
| 3164 |
3648 |
| 3066 |
3714 |
| 3116 |
3748 |
| 3132 |
3732 |
| 3124 |
3658 |
| 3148 |
3680 |
| 3138 |
3762 |
| 3118 |
3636 |
| 3098 |
3700 |
| 3132 |
3754 |
| 3062 |
3756 |
| 3116 |
3652 |
| 3148 |
3700 |
| 3122 |
3664 |
| 3140 |
3672 |
| 3134 |
3658 |
| 3166 |
3750 |
| 3136 |
3662 |
| 3068 |
3762 |
| 3134 |
3742 |
| 3116 |
3788 |
| 3152 |
3668 |
| 3124 |
3658 |
| 3106 |
3726 |
| 3080 |
3704 |
| 3092 |
3654 |
| 3142 |
3684 |
| 3112 |
3774 |
| 3094 |
3770 |
| 3092 |
3788 |
| 3132 |
3646 |
| 3118 |
3660 |
| 3152 |
3696 |
| 3124 |
3704 |
| 3146 |
3722 |
| 3098 |
3682 |
| 3168 |
3636 |
| 3174 |
3630 |
| 3106 |
3630 |
| 3184 |
3728 |
| 3134 |
3692 |
| 3104 |
3688 |
| 3140 |
3694 |
| 3108 |
3694 |
| 3098 |
3744 |
| 3186 |
3734 |
| 3180 |
|
| 3122 |
|
| 3124 |
|
| 3148 |
|
| 3166 |
|
| 3080 |
|
| 3112 |
|
| 3144 |
|
| 3142 |
|
| 3112 |
|
| 3094 |
|
| 3066 |
|
| 3136 |
|
| 3128 |
|
| 3072 |
|
| 3090 |
|
| 3080 |
|
| 3092 |
|
| 3076 |
|
| 3098 |
|
| 3102 |
|
| 3076 |
|
| 3044 |
|
| 3112 |
|
| 3092 |
|
| 3094 |
|
| 3066 |
|
| 3098 |
|
| 3082 |
|
| 3146 |
|
| 3144 |
|
| 3098 |
|
| 3068 |
|
| 3098 |
|
| 3140 |
|
| 3130 |
|
| 3088 |
|
| 3082 |