View the step-by-step solution to: The manufacturer of Boston and Vermont asphalt shingles knows

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The manufacturer of Boston and Vermont asphalt shingles knows that product weight is a major factor in the customer’s perception of quality. Moreover, the weight represents the amount of raw materials being used and is therefore very important to the company from a cost standpoint. The last stage of the assembly line packages the shingles before they are placed on wooden pallets. Once a pallet is full (a pallet for most brands holds 16 squares of shingles), it is weighed, and the measurement is recorded. The data file (Pallet) contains the weight (in pounds) from a sample of 368 pallets of Boston shingles and 330 pallets of Vermont shingles. Completely analyze the differences in the weights of the Boston and Vermont shingles, using α = 0.05. File (Pallet): 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 a/ for the boston shingles, is there evidence that the population mean weight is different from 3150 pounds? b/ interpret the meaning of the p-value in (a) c/ for the vermont shingles, is there evidence that the population mean weight is different from 3700 pounds? d/ interpret the meaning of the p-value in (c) e/ in (a) though (d) do you have to worry about the normality assumption? explain
ass.docx

The manufacturer of Boston and Vermont asphalt shingles knows that product weight is a major
factor in the customers perception of quality. Moreover, the weight represents the amount of raw
materials being used and is therefore very important to the company from a cost standpoint. The
last stage of the assembly line packages the shingles before they are placed on wooden pallets.
Once a pallet is full (a pallet for most brands holds 16 squares of shingles), it is weighed, and the
measurement is recorded. The data file (Pallet) contains the weight (in pounds) from a sample of
368 pallets of Boston shingles and 330 pallets of Vermont shingles. Completely analyze the
differences in the weights of the Boston and Vermont shingles, using α = 0.05.
File (Pallet):
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
3136
3136
3148
3152
3166
3202
3152
3154
3126
3098
3106
3122
3118
3164
3158
3122
3064
3176
3144
3156
3162
3130
3156
3184
3170
3176
3152
3162
3200
3202
3142
3170
3142
3154
3158
3106
3136
3170
3124
3174
3160
3162
3160
3118
3138

3726
3714
3730
3768
3740
3720
3626
3692
3730
3726
3734
3712
3684
3718
3742
3736
3730
3666
3664
3688
3694
3684
3688
3688
3702
3676
3656
3632
3652
3658
3684
3670
3678
3674
3674
3634
3684
3708
3670
3684
3746
3688
3702
3666
3670
3700

3132
3140
3134
3166
3122
3154
3130
3106
3092
3136
3150
3138
3214
3092
3162
3126
3086
3112
3138
3118
3156
3156
3144
3160
3166
3172
3134
3186
3146
3144
3124
3122
3116
3126
3140
3110
3128
3114
3138
3106
3142
3128
3142
3144
3122
3046

3658
3664
3682
3672
3730
3712
3720
3700
3722
3728
3692
3726
3686
3708
3732
3724
3730
3698
3686
3680
3732
3718
3700
3718
3666
3714
3706
3718
3712
3688
3736
3706
3720
3714
3740
3724
3744
3728
3728
3680
3652
3634
3640
3728
3724
3704

3062
3114
3100
3126
3088
3140
3140
3120
3132
3130
3140
3114
3108
3146
3172
3102
3120
3102
3132
3120
3088
3084
3120
3098
3096
3088
3092
3062
3084
3136
3080
3056
3064
3088
3110
3096
3094
3080
3074
3114
3136
3104
3080
3104
3082
3080

3668
3684
3652
3756
3702
3840
3696
3702
3732
3736
3752
3696
3732
3702
3640
3672
3756
3710
3736
3726
3800
3784
3804
3740
3730
3778
3718
3810
3786
3766
3736
3738
3726
3764
3678
3728
3716
3856
3816
3792
3808
3802
3746
3800
3780
3756

3074
3095
3098
3084
3086
3074
3092
3062
3108
3132
3122
3078
3180
3076
3072
3114
3080
3102
3074
3148
3112
3112
3118
3118
3094
3076
3050
3100
3114
3100
3104
3088
3148
3088
3074
3074
3094
3116
3104
3100
3112
3098
3086
3098
3136
3100

3768
3768
3728
3724
3736
3760
3708
3688
3650
3636
3628
3656
3630
3730
3662
3746
3726
3702
3678
3676
3738
3598
3718
3738
3766
3750
3740
3784
3760
3804
3798
3804
3714
3720
3760
3650
3686
3750
3690
3686
3718
3732
3702
3706
3660
3686

3122
3132
3120
3096
3100
3114
3128
3084
3098
3104
3124
3130
3088
3110
3126
3116
3110
3148
3082
3142
3116
3092
3106
3102
3096
3078
3116
3164
3124
3102
3120
3114
3086
3160
3172
3164
3176
3124
3102
3164
3152
3144
3146
3166
3096
3146

3650
3678
3708
3706
3646
3698
3644
3642
3746
3714
3674
3626
3592
3642
3646
3734
3654
3672
3684
3692
3676
3666
3640
3704
3650
3616
3706
3770
3740
3726
3706
3756
3724
3718
3706
3654
3730
3734
3704
3734
3662
3640
3618
3644
3586
3566

3134
3128
3176
3166
3186
3158
3136
3124
3196
3178
3150
3160
3092
3122
3116
3122
3128
3172
3164
3066
3116
3132
3124
3148
3138
3118
3098
3132
3062
3116
3148
3122
3140
3134
3166
3136
3068
3134
3116
3152
3124
3106
3080
3092
3142
3112

3674
3842
3764
3650
3652
3740
3814
3754
3714
3634
3626
3658
3672
3662
3662
3666
3732
3710
3648
3714
3748
3732
3658
3680
3762
3636
3700
3754
3756
3652
3700
3664
3672
3658
3750
3662
3762
3742
3788
3668
3658
3726
3704
3654
3684
3774

3094
3092
3132
3118
3152
3124
3146
3098
3168
3174
3106
3184
3134
3104
3140
3108
3098
3186
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

3770
3788
3646
3660
3696
3704
3722
3682
3636
3630
3630
3728
3692
3688
3694
3694
3744
3734

3082
3146
3144
3098
3068
3098
3140
3130
3088
3082
a/ for the boston shingles, is there evidence that the population mean weight is different from
3150 pounds?
b/ interpret the meaning of the p-value in (a)
c/ for the vermont shingles, is there evidence that the population mean weight is different from
3700 pounds?
d/ interpret the meaning of the p-value in (c)
e/ in (a) though (d) do you have to worry about the normality assumption? explain

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