Question

signments Saved Help Save & Exit Submit Check my work Classic Golf Inc. manages five courses in the Jacksonville, Florida, area. The director of golf wishes to study the number of rounds of golf played per weekday at the five courses. He gathered the following sample information Day Rounds Monday Tuesday Wednesday 135 Thursday Friday 145 125 100 120 At the 0.05 significance level, is there a difference in the number of rounds played by day of the week? He: Rounds played is the same for each day. Hi Rounds played is not the same. State the decision rule, using the 0.05 significance level. (Round your answer to 3 decimal places.) Reet Hof chi-square Compute the value of chi-square. (Round your answer to 3 decimal places.) Chi-square value What is your decision regarding Ha? HO. The number of rounds played the same for each day Prev 1 of 5 Next >

Answer 1

He: ies for each solution To test Rounds played the same day Rounds played the same de He: p = p 2 = -- .= ps = 1/3 Hi: at least one pi is different H, is not is 7 The decision rule Reject to if cal X² x'n-ra aven a = 0.05, nes n=s, Table value of x at 2=0.05 with hol= u 9.488. do f. is 9.488 is Xint The decision rule is Reject Ho if chi-square The test statistic (O; - E;) X = 2 Ei Here oi's observed frequencies and are expected expected frequencies Ei = + i=1,2,3,4,5 Ho Eils under N 5 N

FUNDAMENTALS OF MATHEMATICAL STATIST 15.56 MONTE 0.005 0.01 6.635 9.210 10.591 12:834 13.277 14.86 1675 18:54 2027 21.95 23:58 TABLE 15. SINGNIFICANT VALUES X?(a) OF CHI-SQUARE DISTRIBUTION (RIGHT TAIL AREAS) FOR GIVEN PROBABILITY A, where P = P,[x2 > Xu?(a)] = a AND v IS DEGREES OF FREEDOM (d.f.) * x2-DISTRIBUTION VALUES OF Xu?(a) Degrees of Probability (0) 0.995 0.995 0.99 0.95 0.025 freedom (v) 0.05 0.000 0.000 0.001 0.004 3.841 5.024 0.010 2 0.020 0.051 0.103 5.991 7.378 0.072 3 0.115 0.216 0.352 9.348 7.815 11.345 0.207 4 0.297 0.484 0.711 9.488 11.143 5 0.412 0.554 0·831 1.145 11.070 12-832 15.086 6 0.676 0.872 1.237 1.634 12.592 14.449 16.812 7 0.989 1.239 1.690 2.167 14.067 16.013 18.475 8 1.344 1.646 2.180 2.733 15.507 17.535 20.090 9 1.735 2.088 2.700 3.325 16.919 19.023 21.666 10 2.156 2-558 3.247 3.940 18-307 20.483 23.209 11 2.603 3.053 3.816 4.575 19.675 21.920 24.725 12 3.074 3.571 4.404 5.226 21.026 23.337 26.217 13 3.565 4.107 5.009 5.892 22:362 24.736 24.888 14 4.075 4.660 5.629 6.571 23.685 26.119 29.141 15 4.601 5.229 6.262 7.261 24.996 27.488 30-578 16 5.142 5.812 6.908 7.962 26.296 28.845 32.000 17 5.697 6-408 7.564 8.672 27-587 30.191 33.409 18 6.265 7.015 8.231 9.390 28.869 31.526 34.805 19 6.844 7:633 8.907 10.117 30.144 32.852 36.191 20 7.434 8.260 9.591 10.851 31-410 34.170 37.566 21 8.034 8.897 10283 11.591 32-671 35.479 38.932 22 8.643 9.542 10.982 12.338 33.924 36-781 40.289 23 9.260 10.196 11 688 13.091 35.172 38.076 41.638 24 9.886 10.856 12.401 13.848 36-415 39.364 42.980 25 10-520 11:524 13.120 14.611 37.652 40.646 44.314 26 11.160 12.198 13.844 15-379 38.885 41.923 45.642 27 11.808 12.879 14.573 16.151 40.113 43.194 46.963 28 12.461 13.565 15.308 16.928 41-337 44.461 48.278 29 13.121 14.256 16.047 17.708 42-557 45.722 49.588 30 13.787 14.953 16.791 18.493 43.773 46.979 50.892 40 20.706 22.164 24.433 26.509 55-759 59.342 63.691 50 27.991 29.707 32.357 34.764 67.505 71.420 76-154 60 35.535 37.485 40.482 43.188 79.082 83.298 88-379 70 43:275 45.442 48.758 51739 90.531 95.023 100-425 80 51.172 53.540 57 153 60.391 101.879 106.629 112-329 90 59.196 61.754 65.647 69.126 113.145 118.136 124.116 100 67 328 70.065 74.222 77.929 124.342 129.561 135.807 25:18 2675 2830 29.819 31319 32:801 34.267 35 718 3715 38582 39.997 41.401 4279 44.181 45.558 46.928 48-290 49.645 50.99 52 33 53672 66.766 79.490 91.952 104,211 116321 128.299 140-169