Question

aez bow youarved atyour salutian n tor n e the answer sheet for full credit. Write I neatly, ty and be organized. 10 department of Agriculture claims that the mean co nsumption of coffee by a person in 2 The U.S. deparis 29.28 gallons per year. A random sample of 16 people in the United States yelds a United States is le mean coffee consumption of 33.5 gallons per year and a sample standard deviation of 4.2 0.01, can you reject the claim? Use the p-value method.(hint: two side test) At a gallons. (8 points)

Answer 1

Aw 29.28 29-23 ) Opposite Nuu hypothesis ound he huel

P-value, McHod test statshc: とニー 091d deri arm 군ン 335-2928 Si y:22 ニ 2

At 1 d 0.005 ken mac 艺-一2.58 +2.58 (そど2 58 259 thon we ooun say hot Hho defhastomenth clam is ahuos 402 402- zvedne, as we get FYonn ① Now 402 2.5 turn is 2 28 gallons vejet the claim

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 3 50000 50399 .50798 51197 .51595 .51994 .52392 .52790 5318853586 +0.1 .53983 54380 54776 .55172 .5556755966 56360 56749 .57142 .57535 +0.2.57926 .58317 58706 59095 .59483 .59871 60257 60642 61026 61409 +0.3 61791 62172 62552 62930 .6330763683 64058 64431 6480365173 +0.465542 65910 66276 66640 67003 67364 67724 68082 68439 68793 +0.5 .69146 .69497 69847 0194 0884 1226 71566 71904 +0.6 3 72575.72907 .73237 .73565 .73891 74215 74537 74857 .75175 .75490 +0.7 .75804 .76115 .76424 .76730 035 7637 8524 +0.8 +0.9 81594 81859 82121 82381 82639 82894 83147 83398 .8364683891 84134 84375 84614 84849 85083 85314 85543 85769 8599386214 +1.1 86433 86650 86864 87076 .8728687493 87698 87900 .88100 88298 +1.2 88493 88686 88877 89065 89251 89435 89617 89796 89973 90147 +1.3 .90320 90490 90658 90824 .9098891149 91308 91466 91621 91774 +1.41924 92073 92220 92364 92507 92647 92785 92922 93056 93189 +1.5 93319 93448 93574 93699 93822 93943 94062 94179 94295 94408 +1.6 94520 94630 94738 94845 94950 95053 95154 95254 95352 95449 +1.79554395637 95728 95818 9590795994 96080 96164 96246 96327 +1.8 96407 96485 96562 96638 .96712 96784 96856 96926 .96995 .97062 +1.9 97128 97193 97257 97320 97381 97441 97500 97558 97615 97670 97725 97778 9783 97882 97932 97982 98030 98077 98124 98169 +2.1 98214 98257 98300 98341 .98382 98422 98461 98500 .9853798574 +2.2 98610 98645 98679 98713 98745 98778 98809 98840 98870 98899 +2.3 98928 98956 98983 990109903699061 99086 .99111 .9913499158 +2.499180 99202 99224 99245 99266 99286 99305 99324 99343 99361 +2.5 99379 99396 99413 99430 99446 99461 99477 99492 99506 99520 +2.6 99534 99547 99560 99573 99585 99598 99609 99621 99632 99643 +2.79965399664 99674 99683 99693 99702 99711 99720 99728 99736 +2.8 99744 99752 99760 99767 99774 99781 99788 99795 99801 99807 +2.9 99813 99819 99825 99831 9983699841 99846 99851 9985699861 99865 99869 99874 99878 99882 99886 99889 99893 .9989699900 +3.1 .99903 99906 99910 99913.99916 99918 99921 99924 .99926 99929 +3.2 99931 99934 99936 99938 99940 99942 99944 99946 99948 99950 +3.3 .99952 99953 99955 999579995899960 99961 99962 99964 99965 +3.4 .99966 99968 99969 99970.99971 .99972 99973 99974 .99975 .99976 +3.5 .99977 99978 99978 99979 99980 99981 99981 99982 99983 99983 +3.699984 99985 99985 99986 99986 99987 99987 99988 99988 99989 +3.7 99989 99990 99990 99990 .99991 .99991 99992 99992 99992 99992 +3.899993 99993 99993 99994 99994 99994 99994 99995 99995 99995 +3.9 .99995 .99995 99996 99996 .99996 .99996 99996 99996 .99997 .99997 99997 .99997 99997 .99997 .99997 .99997 .99998 .99998 .99998 .99998

50000 49601 49202 48803 48405 48006 47608 47210 46812 46414 0.1 4601745620 45224 44828 44433 44034 43640 43251 42858 42465 42074 41683 41294 40905 40517 40129 39743 39358 3897438591 -0.3 38209 37828 37448 37070 36693 36317 35942 35569 35197 34827 -0.5 .30854 30503 30153 29806 29460 29116 28774 28434 28096 27760 3 -0.7 24196 23885 23576 23270 22965 22663 22363 22065 21770 21476 19766 19215 · 18943 18673 21186 20897 20611 .20327 20045 17106 16853 18141 .17879 17619 17361 16354 15625 .15 14457 14231 13786 12507 .12302 .13567 13350 13136 12924 .12714 12100 .11900 11702 11123 11507 11314 10935 10749 10565 10383 10204 10027 09853 1.3 09680 .09510 09342 09176 09012 .08851 08692 08534 08379 .08226 08076 .07927 .07780 .07636 07493 .07353 .07215 .07078 .06944.06811 1.5 06681 0655206426 06301 06178 .0605705938 05821 05705 05592 05480 05370 05262 05155 05050 .04947 04846 04746 .0464804551 1.7 04457 04363 04272 04182 04093 .04006 03920 03836 03754 03673 03593 03515 03438 03362 03288 .03216 03144 03074 0300502938 1.9 02872 .02807 02743 02680 02619 .02559 .02500 02442 02385 .02330 02275 02222 02169 02118 02068 .02018 .01970 01923 01876.01831 2.1 01786 .01743 01700 .01659 01618 01578 01539 .01500 01463 .01426 01390 .01355 .01321 .01287 01255 .01222 .01191 .01160 .01130.01101 2.3 01072 01044 01017 .00990 00964 .00939 00914 00889 .00866 .00842 00820 .00798 00776 00755 00734.00714 .00695 00676 0065700639 2.5 00621 .00604 00587 00570 00554 .00539 00523 00508 00494 00480 00466 00453 00440 .00427 00415 .00402 .00391 00379 0036800357 2.7 0034700336 .00326 00317 .00307 .00298 00289 00280 00272 .00264 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 00199 .00193 2.9 00187 .00181 .00175 00169 .00164 .00159 .00154 00149 .00144 .00139 3.1.00097 00094 00090 00087 .00084 00082 00079 .00076 .00074 00071 .00069 .00066 00064 00062 00060 .00058 .00056 00054 0005200050 3.3.00048 00047 .00045 00043 .00042 00040 00039 .00038 .00036 00035 00034 .00032 00031 00030 00029 .00028 .00027 00026 .0002500024 3.5 .00023 00022 00022 00021 00020 .00019 .00019 .00018 .00017 .00017 3.7.00011 00010 00010 00010 00009 .00009 00008 00008 .00008 .00008 00007.00007 00007 00006 00006 .00006 .00006 00005 0000500005 00005 .00005 .00004 .00004 .00004 .00004 .00004 .00004 .00003 .00003 .00003 .00003 .00003 00003 .00003 .00003 .00002 .00002 .00002 .00002