To demonstrate flavor aversion learning (that is, learning to dislike a flavor that is associated with becoming sick), researchers gave one group of laboratory rats an injection of lithium chloride immediately following consumption of saccharin-flavored water. Lithium chloride makes rats feel sick. A second control group was not made sick after drinking the flavored water. The next day, both groups were allowed to drink saccharin-flavored water. The amounts consumed (in milliliters) for both groups during this test are given below.
| Amount
Consumed by Rats That Were Made Sick (n = 4) |
Amount
Consumed by Control Rats (n = 4) |
|---|---|
| 4 | 7 |
| 3 | 13 |
| 1 | 8 |
| 5 | 11 |
(a) Test whether or not consumption of saccharin-flavored water differed between groups using a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.)
(b) Compute effect size using eta-squared (η2).
(Round your answer to two decimal places.)
η2 =
a)
| x1 = | 3.250 | x2 = | 9.750 | |
| s1 = | 1.708 | s2 = | 2.754 | |
| n1 = | 4 | n2 = | 4 | |
| Pooled Variance Sp2=((n1-1)s21+(n2-1)*s22)/(n1+n2-2)= | 5.2500 | |||
| Point estimate : x1-x2= | -6.5000 | ||
| standard error se =Sp*√(1/n1+1/n2)= | 1.6202 | ||
| test stat t =(x1-x2-Δo)/Se= | -4.012 | ||
reject the null hypothesis
b)
| effect size =η2=ω2=t2/(t2+df) = | 0.73 | |
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