SOLUTION: ADM 2304X Hypotheses Level of Significance Rejection Region Statistic Questions


ADM 2304X – Summer 2020 Professor: Afshin Kamyabniya ASSIGNMENT 3 Due Date: Thursday, July 02, 2020, at 11:59 pm Instructions: 1. 2. 3. 4. 5. Your assignment should be uploaded to Brightspace in pdf format. You may use MS Excel, Minitab or other software for any calculations. However, you must profession your manual calculations when asked. You may paste your output onto your assignment to profession your use of software; at-last, this output does not supply any of the steps outlined under. This instrument that rejoinders that are exclusively software output may receive singly one trace. If you are performing a theory examination, reach infallible you specify the hypotheses, the plane of significance, the postponement territory, the examination statistic (and p-value, if requested), your decision (whether to throw-by or not to throw-by the inoperative theory), and a omission in managerial provisions that rejoinders the inquiry posed. These steps must be completed in restoration to any software output. The postulates can be institute in the refine Assign3Data.xlsx. Remember to enclose your single-mindedness specifyment. Question 1 – Spam Messages [20 traces] Does e-mail spam influence everyone at the University of Ottawa together? To rejoinder this, a inferior consider was conducted by randomly selecting 10 each of the professors, administrators, and students. Each person was asked to compute the estimate of spam messages common on a abandoned day. Some of the results are presented under. SUMMARY Groups Count Average Variance Professors 10 14.3 63.34 Administrators 10 12.1 38.10 Students 10 6.6 12.04 ANOVA Source of Variation SS df MS F _______ Between Groups _______ _______ _______ Within Groups _______ _______ 37.83 Total 1336.0 29 a) Fill in the set-right estimates for the forfeiture quantities in the ANOVA judgeation aloft. Profession your computations reporting a culmination of two decimal places. b) Carry out a theory examination to detail whether the moderation amounts of e-mail spam are not all equal across the irrelative university communities. Please furnish: • • • • • Hypotheses Value of examination statistic, to two decimal places The momentous estimate for the selfsame examination statistic at α = .05 (enclose degrees of insubservience) Exact p-estimate using software Conclusion; don’t solely say “reject” or “do not throw-by”; enclose a specifyment after a while serviceable moderationing c) What self-self-reliance of the ANOVA pattern can be examined after a while the notice supposing in the summary judgeation aloft? Explain briefly. Assuming the self-self-reliance is involuntary, profession how the MSE is conducive using the scantling variances. d) Suppose one of the students common 20 spam e-mails. Explain how this would qualify you to inquiry another key self-self-reliance of the ANOVA pattern. What would you close? e) What is the extremity of untruth associated after a while the Bonferroni manner for multiple paired comparisons between the population instrument? Assume a rise self-reliance plane of 95%. Using the Bonferroni method, detail which pairwise differences are or are not statistically indicative. What do you conclude? Profession your effort. f) If instead of regarding singly three university communities, we judge five. For illustration, keep-aparttime instructors, full-time instructors, administrators, undergraduate students and graduate students. How sundry pairwise comparisons are potential? g) Suppose we now ask each assemblage of keep-aparticipants to compute the estimate of spam e-mail messages every day for a seven-day continuance. Identify this experimental artifice. Explain briefly. Question 2 – Discounts and Expected Prices [20 traces] Does the abundance after a while which a supermarket emanation is offered at a discompute influence the expense that customers look-for to pay for the emanation? Does the percent contraction to-boot influence this look-foration? These questions were examined by researchers in a consider conducted on students enrolled in an introductory statistics conduct at a vast Canadian university. For 10 weeks 160 subjects common notice about the emanations. The texture conditions corresponded to the estimate of preferments (1, 3, 5, or 7) during this 10-week continuance and the percent that the emanation was remittanceed (10%, 20%, 30%, and 40%). Ten students were randomly assigned to each of the 4×4 = 16 textures. The look-fored expense postulates is contained in effortsheet eexpense in refine Assign3data.xlsx. a) Identify the experimental artifice. b) Use software to conspire the texture instrument in an interaction conspire and explain the promotive features of the postulates in provisions of deep possessions and interaction. c) Do the postulates furnish adapted exemplification to point-out an interaction between preferments and discount? Conduct the divert examination. Please furnish: • • • • • Hypotheses Value of examination statistic, to two decimal places The momentous estimate for the selfsame examination statistic at α = .05 (enclose degrees of insubservience) Exact p-estimate using software Conclusion; don’t solely say “reject” or “do not throw-by”; enclose a specifyment after a while serviceable moderationing d) Naturalized on your rejoinder to keep-akeep-apart (c), does it reach opinion to examination the chattels of preferments or the chattels of discompute plane on the moderation look-fored expense? If so, are these possessions indicative? Justify your rejoinders. e) Conspire the residuals across the free estimates. What key pattern self-confidences can be examined and do these rejoinder to be involuntary? f) Calculate the Bonferroni extremity of untruth for the self-reliance cessations naturalized on all the pairwise differences between the 16 texture instrument. Assume an overall 95% self-reliance plane. Using the conducive extremity of untruth and a self-reliance cessation way, examination whether the moderation look-fored expense is irrelative for the forthcoming comparisons • • For a discompute of 10%, 1 preferment versus 3 preferments; For 7 preferments, a 10% discompute versus a 20% remittance. Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Promotions Discount Price 1 40 1 40 1 40 1 40 1 40 1 40 1 40 1 40 1 40 1 40 1 30 1 30 1 30 1 30 1 30 1 30 1 30 1 30 1 30 1 30 1 20 1 20 1 20 1 20 1 20 1 20 1 20 1 20 1 20 1 20 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 4.10 4.50 4.47 4.42 4.56 4.69 4.42 4.17 4.31 4.59 3.57 3.77 3.90 4.49 4.00 4.66 4.48 4.64 4.31 4.43 4.94 4.59 4.58 4.48 4.55 4.53 4.59 4.66 4.73 5.24 5.19 4.88 4.78 4.89 4.69 4.96 5.00 4.93 5.10 4.78 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 40 40 40 40 40 40 40 40 40 40 30 30 30 30 30 30 30 30 30 30 20 20 20 20 20 20 20 20 20 20 10 10 10 10 10 10 10 10 10 10 40 4.07 4.13 4.25 4.23 4.57 4.33 4.17 4.47 4.60 4.02 4.20 3.94 4.20 3.88 4.35 3.99 4.01 4.22 3.70 4.48 4.88 4.80 4.46 4.73 3.96 4.42 4.30 4.68 4.45 4.56 4.90 5.15 4.68 4.98 4.66 4.46 4.70 4.37 4.69 4.97 3.89 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 40 40 40 40 40 40 40 40 40 30 30 30 30 30 30 30 30 30 30 20 20 20 20 20 20 20 20 20 20 10 10 10 10 10 10 10 10 10 10 40 40 4.18 3.82 4.09 3.94 4.41 4.14 4.15 4.06 3.90 3.90 3.77 3.86 4.10 4.10 3.81 3.97 3.67 4.05 3.67 4.11 4.35 4.17 4.11 4.02 4.41 4.48 3.76 4.66 4.44 4.31 4.36 4.75 4.62 3.74 4.34 4.52 4.37 4.40 4.52 3.56 3.91 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 40 40 40 40 40 40 40 40 30 30 30 30 30 30 30 30 30 30 20 20 20 20 20 20 20 20 20 20 10 10 10 10 10 10 10 10 10 10 4.05 3.91 4.11 3.61 3.72 3.69 3.79 3.45 3.45 4.06 3.35 3.67 3.74 3.80 3.90 4.08 3.52 4.03 3.89 4.45 3.80 4.15 4.41 3.75 3.98 4.07 4.21 4.23 4.04 4.22 4.39 3.89 4.26 4.41 4.39 4.52 3.87 4.70 0.917175201 1.94545019 ...
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