To demonstrate flavor aversion learning (that is, learning to dislike a flavor t
ID: 3171952 • Letter: T
Question
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.
(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.)
State the decision to retain or reject the null hypothesis.
Retain the null hypothesis.
OR Reject the null hypothesis.
(b) Compute effect size using eta-squared (2). (Round your answer to two decimal places.)
2 =
by Rats That Were
Made Sick (n = 4) Amount Consumed
by Control Rats
(n = 4) 5 12 2 8 4 11 3 7 To demonstrate flavor aversion learning (that is, earning 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 Amount Consumed by Rats That Were by Control Rats Made Sick (n 4) (n 4) 11 7 (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. 8.51 State the decision to retain or reject the null hypothesis. O Retain the null hypothesis. O Reject the null hypothesis. (b) Compute effect size using eta-squared (ne). Round your answer to two decimal places m2 1.54 You may need to use the appropriate table in Appendix B to answer this question.
Explanation / Answer
(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.)
Here, we have to use the two sample t test for the population mean.
H0: µ1 = µ2 versus Ha: µ1 µ2
We are given alpha = 0.05
Test statistic = t = (X1bar – X2bar) / sqrt[(S1^2/N1)+(S2^2/N2)]
For the given data, we have
Group Statistics
Rats
N
Mean
Std. Deviation
Std. Error Mean
Amount Consumed
Rats that were made sick
4
3.5000
1.29099
.64550
Control Rats
4
9.5000
2.38048
1.19024
Test statistic = t = (3.5 – 9.5)/sqrt[(1.29^2/4)+(2.38^2/4)]
Test statistic = t = -4.433
State the decision to retain or reject the null hypothesis.
Here, df = 4+4 – 2 = 8 – 2 = 6
P-value = 0.004
Alpha value = 0.05
P-value < Alpha value
So, reject the null hypothesis.
(b) Compute effect size using eta-squared (2). (Round your answer to two decimal places.)
2 =
Effect size = (X1bar – X2bar)/Spooled
Spooled = sqr(((4-1)*1.29^2+(4-1)*2.38^2)/(4+4-2)) = 1.914223
Effect size = (9.5 – 3.5) / 1.914223 = 3.13443
Group Statistics
Rats
N
Mean
Std. Deviation
Std. Error Mean
Amount Consumed
Rats that were made sick
4
3.5000
1.29099
.64550
Control Rats
4
9.5000
2.38048
1.19024
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