Psychology experiments sometimes involve testing the ability of rats to navigate

Question

Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the data shown on the right. Complete parts a through d.

54.4
36.2
50.4
60.1
55.5
47.4
38.4
62.8
61.6
55.1
43.8
93.8
62.5
44.9
52.8
57.6
35.9
40.2

Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the data shown on the right. Complete parts a through d.

54.4
36.2
50.4
60.1
55.5
47.4
38.4
62.8
61.6
55.1
43.8
93.8
62.5
44.9
52.8
57.6
35.9
40.2

a) Test the hypothesis that the mean completion time for this maze is 60 seconds. Assume = 0.05. Choose the null and alternative hypothesis below OA. HOH#60 C. Ho : -60 B. HOP-60 HA : > 60 D. Ho : -60 HA: #60 HA : = 60 Ha:

Explanation / Answer

The statistical software output for part b) is:

One sample T hypothesis test:
: Mean of variable
H0 : = 60
HA : 60

Hypothesis test results:

Hence,

b) t = -4.18

p - Value = 0.000

Conclusion: Option B is correct.

c) Option D is correct.

Variable Sample Mean Std. Err. DF T-Stat P-value Data 50.564706 2.25545 16 -4.1833312 0.0007

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