Chi square and T-Test Assignment

Complete each step so I can see your calculations of all the component parts for each statistic

Do people buy prefer popcorn with or without butter and does it differ if they're at the movies or at home?

	Butter	No Butter	Totals
Theater	92	22
Home	11	55

Expected Values - (row total/N)*column total

Theater/Butter:

Theater/No Butter:

Home/Butter:

Home/No Butter:

Observed - Expected -> squared -> divided by expected (show total for each step)

Theater/Butter:

Theater/No Butter:

Home/Butter:

Home/No Butter:

Sum of calculated values (chi-square value) =

Is it significant (alpha = .05):

Cut off value (DF = ______) -

Conclusion? :

Do people eat more chocolate in October or December?

OCTOBER Participant	Ounces of Chocolate Eaten	Mean	Deviance Score	Deviance Score Squared
1	30
2	22
3	50
4	55
5	60
6	55
7	44
8	22
9	33
10	55
11	87
12	48
13	41
14	25
15	34
16	39
17	11
18	44
19	43
20	60
Mean =		Sum of Squares =

Sum of Square/N = _________- This is the VARIANCE

Square root of the VARIANCE = __________ = This is the Standard Deviation

December Participant #	Ounces of Chocolate Eaten	Mean	Deviance Score	Deviance Score Squared
1	22
2	11
3	18
4	14
5	13
6	18
7	22
8	0
9	10
10	8
11	17
12	18
13	19
14	14
15	13
16	18
17	15
18	23
19	27
20	35
Mean =		Sum of Squares =

Sum of Square/N = ________ - This is the VARIANCE

Square root of the VARIANCE = __________ = This is the Standard Deviation

Mean (October) =

Mean (December) =

Subtract the two means = (this is your MEAN DIFFERENCE)*

Divide the October VARIANCE by N =

Divide the December VARIANCE by N =

Add these two scores together = ______ - >take the square root of this number = ____(**)

Divide MEAN DIFFERENCE* by the number above(**) - ________ - this is your t value!

Degrees of Freedom = N-2 - DF = __________ Find on crit value table - compare!

Do we REJECT or ACCEPT the null hypothesis (reject = means are different) ________________

Conclusion? :

T- Test Formulas

\f1 Table cum. prob one-tail 0.60 0.26 0.20 0.16 0.10 0.06 0.026 0.01 0.005 0.001 0.0005 two-fails 1.00 0 50 0.40 0.30 0.20 0.10 0,05 0.02 0.01 0.002 0.001 01000 1.000 1.376 1 963 3 078 6.314 12.71 31.82 63.56 318.31 636 62 01000 0.816 1.061 1.386 1.886 2 920 4.303 6.963 9.925 22 327 31.594 0.000 0.765 1 250 1 638 3 353 3 182 1 541 5 801 10.215 12 404 01000 0.741 0.941 1.190 2132 2 776 3.747 4.604 7.173 8.610 01000 0.727 0 520 1.156 1 476 2015 2 571 3.365 4 032 5.893 6.859 0.718 10.906 1.134 1.440 1.943 2. 417 3. 1.43 3.707 5.208 5.959 0.DOO 0.714 0.896 1.119 1.415 1.895 2365 2998 3.499 4.785 51408 0.030 0.706 1 10A 1 397 1 PRO 2306 3 355 5041 0.703 0.883 1 100 1 383 1 833 3 362 2 821 3250 4.781 10 0.700 1 090 1.372 1012 2 220 3.149 4.144 11 0.000 0.697 10.876 1 088 1 363 1.796 2 201 2718 3. 105 4.025 4.437 12 0.000 0.645 0.873 1 083 1.356 1.762 2.179 2681 3.055 3.430 4 318 13 01000 0.694 0.870 1.079 1.350 1.771 2.160 2650 3.012 3.852 4.221 14 0.090 1 076 1 345 1.761 2 145 2977 3 787 4, 140 15 0.691 0.866 1 074 1.341 1.753 3 131 3 607 4 073 1G 0.490 1.TAG 2. 120 2:921 4015 17 01000 0.689 0.863 1 069 1 333 1.740 2110 2 567 3.965 18 0.010 0.648 0.862 1 067 1 390 1.734 2. 101 2 552 2878 3.610 3.102 19 0.000 1 0GG 1.320 1.729 2 091 2 039 2061 3.579 01000 0 860 1 064 1 325 1 725 7 085 3 528 3.957 9.850 0TODO 1 323 1.721 3527 0.090 0.858 1081 1.921 1.717 2.074 2.508 2019 3.505 3.792 01000 0.686 0.868 1 060 1.319 1.714 2 069 2.600 2 807 3.456 3.768 0.685 1 059 1 318 1711 2061 3467 3.745 01000 1 030 1.316 1.708 2 060 2405 2 787 3.450 3.721 01000 0.684 0.856 1 058 1315 1.706 2 056 2479 3.779 3.435 3.707 0.484 0.855 1.314 1.703 2052 2473 3.421 0.090 0.419 0.855 1 056 1.313 1.701 2467 3.674 0.000 0.683 0.834 1 065 1.341 1.699 2045 2462 3.396 3.619 0.090 0.683 1 055 1 310 2457 2750 3.385 3.6-16 1030 1.GUI 2 021 2.423 2. 704 3.307 0.679 1045 1 296 1.671 2 000 2.350 3.217 3.460 0.090 0.678 1 292 1.910 2974 3.195 0.677 0.845 1042 1 290 1.660 1.984 2.364 2626 3.174 3.390