Answer choice:

c) can or cannot

Table is attached below.

-1 of 2 ID: MST.FET.CP.IMD.01.0030A [3 marks] An education minister would like to know whether students at Gedrassi high school on average perform better at English or at Mathematics. Denoting by 1 the mean score for all Gedrassi students in a standardized English exam and U2 the mean score for all Gedrassi students in a standardized Mathematics exam, the minister would like to get a 95% confidence interval estimate for the difference between the means: H1 - H2. A study was conducted where many students were given a standardized English exam and a standardized Mathematics exam and their pairs of scores were recorded. Unfortunately, most of the data has been misplaced and the minister only has access to scores for 5 students. Student English Mathematics Student 1 80 69 Student 2 77 65 Student 3 77 66 Student 4 78 70 Student 5 79 69 The populations of test scores are assumed to be normally distributed. The minister decides to construct the confidence interval with these 5 pairs of data points. This Student's t distribution table may assist you in answering the following questions. a) Calculate the lower bound for the confidence interval. Give your answer to 3 decimal places. Lower bound = b) Calculate the upper bound for the confidence interval. Give your answer to 3 decimal places. Upper bound = An assistant claims that there is no difference between the average English score and the average Math score for a student at Gedrassi high school. c) Based on the confidence interval the minister constructs, the claim by the assistant |be ruled out.\f31 1.3095 1.6955 2.0395 2.4528 2.7740 32 1.3086 1.6939 2.0369 2.4487 2.7385 33 1.3077 1.6924 2.0345 2.4448 2.7333 34 1.3070 1.6909 2.0322 2.4411 2.7284 35 1.3062 1.6896 2.0301 2.4377 2.7238 36 1.3055 1.6883 2.0281 2.4345 2.7195 37 1.3049 1.6871 2.0262 2.4314 2.7154 38 1.3042 1.6860 2.0244 2.4286 2.7116 39 1.3036 1.6849 2.0227 2.4258 2.7079 40 1.3031 1.6839 2.0211 2.4233 2.7045 41 1.3025 1.6829 2.0195 2.4208 2.7012 42 1.3020 1.6820 2.0181 2.4185 2.6981 43 1.3016 1.6811 2.0167 2.4163 2.6951 44 1.3011 1.6802 2.0154 2.4141 2.6923 45 1.3006 1.6794 2.0141 2.4121 2.6896 46 1.3022 1.6787 2.0129 2.4102 2.6870 47 1.2998 1.6779 2.0117 2.4083 2.6846 48 1.2994 1.6772 2.0106 2.4066 2.6822 49 1.2991 1.6766 2.0096 2.4049 2.6800 50 1.2987 1.6759 2.0086 2.4033 2.6778 51 1.2984 1.6753 2.0076 2.4017 2.6757 52 1.2980 1.6747 2.0066 2.4002 2.6737 53 1.2977 1.6741 2.0057 2.3988 2.6718 54 1.2974 1.6736 2.0049 2.3974 2.6700 55 1.2971 1.6730 2.0040 2.3961 2.6682 56 1.2969 1.6725 2.0032 2.3948 2.6665 57 1.2966 1.6720 2.0025 2.3936 2.6649 58 1.2963 1.6716 2.0017 2.3924 2.6633 59 1.2961 1.6711 2.0010 2.3912 2.6618 60 1.2958 1.6706 2.0003 2.3901 2.6603 61 1.2956 1.6702 1.9996 2.3890 2.6589 62 1.2954 1.6698 1.9990 2.3880 2.6575 63 1.2951 1.6694 1.9983 2.3870 2.6561 64 1.2949 1.6690 1.9977 2.3860 2.6549 65 1.2947 1.6686 1.9971 2.3851 2.653666 1.2945 1.6683 1.9966 2.3842 2.6524 67 1.2943 1.6679 1.9960 2.3833 2.6512 68 1.2941 1.6676 1.9955 2.3824 2.6501 69 1.2939 1.6672 1.9949 2.3816 2.6490 70 1.2938 1.6669 1.9944 2.3808 2.6479 71 1.2936 1.6666 1.9939 2.3800 2.6469 72 1.2934 1,6663 1.9935 2.3793 2.6459 73 1.2933 1.6660 1.9930 2.3785 2.6449 74 1.2931 1.6657 1.9925 2.3778 2.6439 75 1.2929 1.6654 1.9921 2.3771 2.6430 76 1.2928 1.6652 1.9917 2.3764 2.6421 77 1. 2926 1.6649 1.9913 2.3758 2.6412 78 1.2925 1.6646 1.9908 2.3751 2.6403 79 1.2924 1.6644 1.9905 2.3745 2.6395 80 1.2922 1.6641 1.9901 2.3739 2.6387 81 1.2921 1.6639 1.9897 2.3733 2.6379 82 1.2920 1,6636 1.9893 2.3727 2.6371 83 1.2918 1.6634 1.9890 2.3721 2.6364 84 1.2917 1.6632 1.9886 2.3716 2.6356 85 1.2916 1.6630 1.9883 2.3710 2.6349 86 1.2915 1.6628 1.9879 2.3705 2.6342 87 1.2914 1.6626 1.9876 2.3700 2.6335 88 1.2912 1.6624 1.9873 2.3695 2.6329 89 1.2911 1.6622 1.9870 2.3690 2.6322 90 1.2910 1.6620 1.9867 2.3685 2.6316 91 1.2909 1. 6618 1.9864 2.3680 2.6309 92 1.2908 1. 6616 1,9861 2.3676 2.6303 93 1.2907 1.6614 1.9858 2.3671 2.6297 94 1.2906 1.6612 1.9855 2.3667 2.6291 95 1.2905 1.6611 1.9853 2.3662 2.6286 96 1.2904 1.6609 1.9850 2.3658 2.6280 97 1.2903 1.6607 1.9847 2.3654 2.6275 98 1.2902 1. 6606 1.9845 2.3650 2.6269 99 1.2902 1.6604 1.9842 2.3646 2.6264 100 1.2901 1.6602 1.9840 2.3642 2.6259