Question

A primatologist wonders whether rhesus monkeys possess curiosity. She reasons that, if they do, they should prefer novel stimulation to repetitive stimulation, but if they fear the unexpected, they should prefer repetitive stimuli to novel ones. As of the time she is pondering this question, little research has been done in this area. An experiment is conducted in which 12 rhesus monkeys are randomly selected from the university colony and taught to press two bars. Pressing bar 1 always produces the same sound, whereas bar 2 produces a novel sound each time it is pressed After learning to press the bars, the monkeys are tested for 15 minutes, during which they have free access to both bars. The number of presses on each bar during the 15 minutes is recorded. The resulting data are as follows Subject Bar 1 Bar 2 20 18 24 14 26 15 29 15 9 25 31 40 25 38 27 31 21 32 38 25 18 32 28 10 12 What is the alternative hypothesis? H1: Rhesus monkeys a preference What is the null hypothesis? O Ho: In rhesus monkeys there is no difference in preference between novel and repetitive stimulation O Ho: Rhesus monkeys have a preference for repetitive stimulation O Ho: Rhesus monkeys have no preference or a preference for repetitive stimulation. O Ho: Rhesus monkeys have no preference or a preference for novel stimulation

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Answer #1
Sample 1 Sample 2 Difference = Sample 1 - Sample 2
20 40 -20
18 25 -7
24 38 -14
14 27 -13
5 31 -26
26 21 5
15 32 -17
29 38 -9
15 25 -10
9 18 -9
25 32 -7
31 28 3
Average 19.25 29.583 -10.333
St. Dev. 8.024 6.895 8.752
n 12 12 12

null hypothesis : there is no difference in preferance between novel and repitive stimulation

alternate : rhesus monkeys have a preferance between novel and repitive stimulation

From the sample data, it is found that the corresponding sample means are X 19.25 X2 29.583 Also, the provided sample standard deviations are s1 8.024 89 6.895 and the sample size is n 12. For the score differences we have D-10.333 8D = 8.752 (1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: This corresponds to a two-tailed test, for which a t-test for two paired samples be used (2) Rejection Region Based on the information provided, the significance level is a 0.05, and the degrees of freedom are df 11 Hence, it is found that the critical value for this two-tailed test is te-2.201, for α : 0.05 and df-11 The rejection region for this two-tailed test is R-t: t> 2.201 The t-statistic is computed as shown in the following formula: -10.333 -4.09 8D/Vn 8.752/V12 Since it is observed thatt4.09t2.201, it is then concluded that the null hypothesis is rejected using the P-value approach The p-value is p = 0.0018, and since p concluded that the null hypothesis is rejected 0.0018 < 0.05, it is

It is concluded that the null hypothesis Ho is rejected.  rhesus monkeys have a preferance between novel and repitive stimulation

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type 1 error can be occur.

that is rejecting the null hypothesis when it is true,

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rhesus monkey

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