Sample A: 72 64 57 25 59 80 80 Sample B: 79 50 68 21 66 67 23 29 Sample C: 42 68 76 42 24 49 24 68 37
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Sample (A) :
N = 7
{ 72,64,57,25,59,80,80 }
Sample (B) :
N = 8
{ 79,50,68,21,66,67,23,29 }
Sample (C) :
N = 9
{ 42,68,76,42,24,49,24,68,37 }
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- A professor has a class with four recitation groups. Each section has 7 students. Determine whether or not the section choice (different TAs and different days of the week) has any relationship with how students performed on the test. Group-1 Group-2 Group-3 Group-4 88.8 83.7 77.1 84.4 90.6 70.7 91.4 73.6 86.7 72 82.3 71.9 86 82 76.6 77.2 92.2 62.5 81.7 63.9 79.4 86 80.7 74.7 85.1 76.6 82.2 83.4 First, run an ANOVA with this data and fill in the summary table. (Report P-values accurate to 4 decimal places and all other values accurate to 3 decimal places.) Source SS df MS F-ratio P-value Between WithinValue Added by Mfg. 23518 15724 24506 21667 20712 12640 4258 35210 20548 23442 287 1508 624 2471 4307 673 817 8986 3145 4076 3806 4276 1239 9423 11045 1916 599 2063 34 1445 10603 5775 10404 13274 1909 4606 5518 12464 5447 2290 4182 2818 2201 18848 9655 15668 25918 30692 17982 17857 9699 38407 3878 3989 4388 4055 16567 25025 59813 31801 8497 28886 12277 11547 26006 3464 2187 7079 442 4528 7275 55621 1313 162 1907 53 747 328 233 1717 6532 4850 3509 2176 2696 15739 999 7838 29180 9061 4200 1410 16670 5856 3164 3999 11750 4412 27974 6936 19880 7793 3528 21718 10513 9545 18178 22673 19221 23110 41135 17521 25322 6700 14278 9466 13428 3459 38705 84059 13920 105899 45220 7903 2590 1435 9986 3564 21071 29028 31051 2390 14032 415 2761 685 8327 2643 1406 11199 Cost of Materials 78713 42774 27222 37040 12030 13674 19130 33521 19612 5557 163 314 2622 4219 5357 1061 707 10421 4140 7125 8994 5504 716 8926 11121 2283 364 1813 71 1321 12376 9661 19285 18632 2170 7290 8135 12980 4011 5101 3755 2694…Students apply for admission to different academic programs within a college. Because of space, each program can only accept a limited number of students. The table below shows the acceptance data for a selection of majors in the college. Acceptance Status Accepted Rejected Total College Major Chemistry 72 18 90 Business 65 35 100 Spanish 45 15 60 Total 182 68 250 For the majors listed here, what proportion of students were rejected?
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- Provinces differ widely in the percentage of college students who attend college in their home province. The percentages of freshmen who attended college in their home province for each of the 50 provinces are shown here. Percentage of College Students Attending College in Home Province: 93 89 78 68 58 93 89 77 67 57 92 89 77 65 57 91 89 76 65 50 91 89 76 64 90 89 76 62 90 88 72 60 87 72 85 70 90 85 85 85 85 84 84 83 81 81 81 80 90 72 1. Present the data using stem-and-leaf display 2. Frequency distribution: a. Determine the data range b. Determine the number of classes according to Sturge's rule c. Determine the class sizes d. Show frequency distribution table of the given data e. Determine the relative frequency f. Determine cumulative frequency g. Plot the data using frequency histogram 3. What is the mode of the data?,A 6/30 lottery requires choosing six of the numbers 1 through 30. How many different lottery tickets can you choose? A. 427518000 tickets B. 71253000 tickets C. 729000000 tickets D. 1012500 tickets E. 593775 ticketsHow long does it take to finish the 1161-mile Iditarod Dog Sled Race from Anchorage to Nome, Alaska? Finish times (to the nearest hour) for 57 dogsled teams are shown below. 261 271 236 244 279 296 284 299 288 288 247 256 338 360 341 333 261 266 287 296 313 311 307 307 299 303 277 283 304 305 288 290 288 289 297 299 332 330 309 328 307 328 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Relative Cumulative Class Limits Class Boundaries Midpoint Frequency Frequency Frequency
- An experiment was performed to determine whether different types of chocolate take different amounts of time to dissolve. Forty people were divided into five groups. Each group was assigned a certain type of chocolate. Each person dissolved one piece of chocolate, and the dissolve time (in seconds) was recorded. For comparison, each person in each group also dissolved one piece of butterscotch candy; these pieces were identical for all groups. The data, which include the group, the dissolve times for both chocolate and butterscotch, the difference between the dissolve times, and the ratio of the dissolve times, are presented in the following table. Note that the design is slightly unbalanced; group 3 has nine people and group 5 has only seven. Group Chocolate Butterscotch Difference Ratio 60 135 75 2.25 865 635 230 1.36 122 63 59 1.94 110 75 35 1.47 71 37 34 1.92 81 58 23 1.40 2405 1105 1300 2.1819 Males Females85 7877 9648 5760 6850 5562 8155 7876 8651 8864 5572 3760 6563 8680 7780 7863 6468 6398 7840 6283 6770 8462 8375 6870 7655 8466 8953 8779 9272 9066 9566 6897 9060 8064 8157 7459 5565 10171 7484 7858 79There is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III 69 28 15 30 17 35 24 53 65 10 68 20 77 17 57 15 26 Shall we reject or not reject the claim that there is no difference in population mean Mimbres classic black-on-white sherd counts for the three sites? Use a 1% level of significance. (a) What is the level of significance?State the null and alternate hypotheses. H0: μ1 = μ2 = μ3; H1: Not all the means are equal.H0: μ1 = μ2 = μ3; H1: At least two means are equal. H0: μ1 = μ2 = μ3; H1: Exactly two means are equal.H0: μ1 = μ2 = μ3; H1: All three means are different. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three…
