A psychologist is studying the effect of belly stars on Sneetches. A random sample of four Sneetches is drawn, and a test of self-image is given to each Sneetch before and after having the belly star status changed. (If the Sneetch initially had a star, it was removed; if it did not have a star, one was created on the Sneetch using the patented “Star-off/Star-on” procedure.) From the following sample data, does it appear that changing belly star status increases the average self-image of Sneetches? Select the appropriate critical value (CV), test statistic (TS), and decision. (Useα= 0.10).
| Sneetch number | 1 | 2 | 3 | 4 |
| Image score before | 120 | 88 | 100 | 25 |
| Image score after | 130 | 100 | 110 | 55 |
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CV = –1.6377; TS = –3.19; rejectH0
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CV = –4.5407; TS = –6.38; rejectH0
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CV = –1.3968; TS = –15.50; rejectH0
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CV = –2.8965; TS = –6.38; fail to rejectH0
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