Question

Psychology experiments involve testing the ability of rats to navigate mazes. a researcher claims that the mean completion time for maze a is less than 50 seconds. He collected the time for 12 rats. The results are shown below. At the 10% significance level do the data provide sufficient evidence to conclude that the mean time to complete maze a is less than 50 seconds? show all steps in this hypothesis test. 38.4, 46.2, 62.5 , 38, 62.8, 33.9, 50.4, 35, 52.8, 60.1, 55.1, 57.6

Answer 1

Sample size = n = 12

Sample mean = = 49.4

Sample standard deviation = s = 10.81565

Claim: The mean time to complete maze a is less than 50 seconds.

The null and alternative hypothesis is

Level of significance = 0.10

Here population standard deviation is unknown so we have to use the t-test statistic.

Test statistic is

Degrees of freedom = n - 1 = 12 - 1 = 11

Critical value = 1.364

| t | < critical value we fail to reject null hypothesis.

Conclusion: The mean time to complete the maze a is not less than 50 seconds.