A survey found that Massachusetts residents spent an average of $861.75 on the lottery, more than three times the U.S. average. A researcher at a Boston think tank believes that Massachusetts residents spend less than this amount. He surveys 100 Massachusetts residents and asks them about their annual expenditures on the lottery. (You may find it useful to reference the t table.) Click here for the Excel Data File (The Lottery data below is from the excel file) a. Specify the competing hypotheses to test the researcher’s claim. multiple choice 1 H0: μ = 861.75; HA: μ ≠ 861.75 H0: μ ≥ 861.75; HA: μ < 861.75 H0: μ ≤ 861.75; HA: μ > 861.75 b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic= Lottery 787 605 919 1140 1090 1191 405 795 1050 644 699 518 469 654 708 405 747 791 880 751 795 803 1103 823 765 744 1252 1014 1313 712 1191 533 947 1006 1233 835 733 1000 752 984 540 698 548 743 859 873 796 1301 500 679 350 1137 626 733 1020 958 1033 957 587 642 979 946 633 807 882 962 877 701 1216 943 860 1030 1041 713 674 1074 594 509 971 971 1287 1136 1107 892 878 935 848 630 515 1028 921 972 914 658 1104 797 683 710 781 754

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter3: Solving Equation And Problems

Section3.7: Costs, Income, And Value Problems

Problem 16P

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Question

A survey found that Massachusetts residents spent an average of $861.75 on the lottery, more than three times the U.S. average. A researcher at a Boston think tank believes that Massachusetts residents spend less than this amount. He surveys 100 Massachusetts residents and asks them about their annual expenditures on the lottery. (You may find it useful to reference the t table.)

Click here for the Excel Data File (The Lottery data below is from the excel file)

a. Specify the competing hypotheses to test the researcher’s claim.

multiple choice 1

H₀: μ = 861.75; H_A: μ ≠ 861.75
H₀: μ ≥ 861.75; H_A: μ < 861.75
H₀: μ ≤ 861.75; H_A: μ > 861.75

b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.)

Test statistic=

Lottery
787
605
919
1140
1090
1191
405
795
1050
644
699
518
469
654
708
405
747
791
880
751
795
803
1103
823
765
744
1252
1014
1313
712
1191
533
947
1006
1233
835
733
1000
752
984
540
698
548
743
859
873
796
1301
500
679
350
1137
626
733
1020
958
1033
957
587
642
979
946
633
807
882
962
877
701
1216
943
860
1030
1041
713
674
1074
594
509
971
971
1287
1136
1107
892
878
935
848
630
515
1028
921
972
914
658
1104
797
683
710
781
754