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A seller on Etsy has decided to get into screen printing t-shirts and is trying to determine which of their products is the most popular.

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  1. A seller on Etsy has decided to get into screen printing t-shirts and is trying to determine which of their products is the most popular. Currently they have four products - patrons can choose either a red or a black t-shirt, featuring either Eleven from Stranger Things or Offred from A Handmaid's Tale. They want to know if there is a difference in the overall sales of different types of shirts, if there is a difference between Eleven and Offred sales, and whether the color of the shirt impacts sales for both Eleven and Offred. Please use the tables below to answer the following questions. Where relevant, please report the effect size and calculations.
    1. Is there a difference in the number of sales across all four types of shirts?
    2. Is there a significant cubic trend in the data?
    3. What does Contrast 2 represent?
    4. Does the contrast table meet the rules for coding contrasts? How can you tell?
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ANOVA Number of shirts sold Sum of Mean Squares df Square F Sig. Between (Combined) 920.458 3 306.819 4.919 003 Groups Linear Term Contrast 848.008 848.008 13.596 001 Deviation 72.450 2 36.225 581 561 Quadratic Contrast 45.375 45.375 .727 396 Term Deviation 27.075 27.075 434 512 Cubic Term Contrast 27.075 27.075 434 .512 Within Groups 5738.167 92 219.279 Total 6658.625 95Red Black Contrast Offred Black Offred Red Eleven Eleven 1 -1 -1 2 -1 0 0 O O C -1 Contrast Tests Value of Std. Sig. (2- Contrast Contrast Error df tailed) Lifespan (in Assumes equal 1 11.58 3.224 3.593 92 001 days) variances 2 3.08 2.280 1.352 92 . 180 3 .33 2.280 .146 92 884 Does not 11.58 3.224 3.593 91.343 001 assume equal 2 3.08 2.234 1.380 45.680 . 174 variances 3 33 2.234 .143 45.797 887

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