A researcher is investigating the effects of ambient noise on the ability of rats to learn...

A researcher is investigating the effects of ambient noise on the ability of rats to learn to navigate a maze. A total of 10 rats were tested, half were randomly assigned to a no noise condition and the other half assigned to a loud ambient noise condition. For each rat, the researcher determined how many trials it took to run the maze without any errors. The results are summarized in the chart below.

Rat #	No Noise: Score	No Noise: Squared Deviations from the mean	Rat #	Noise: Score	Noise: Squared Deviations from the mean
1	5	1	3	7	0
4	2	4	9	6	1
6	4	0	2	9	4
8	3	1	7	7	0
10	6	4	5	6	1
Totals	20	10		35	6
Mean	?			?

Approximately what are the estimated variances of the population(s) (Hint: use the Squared Deviations from the mean to save time)?

Approximately what is the pooled variance?

Approximately what is the estimated standard deviation of the distribution of differences between means?

What is the obtained value of t and would you retain or reject the Null Hypothesis?

Taking the difference between the means to be a positive difference, approximately what is the 95% confidence interval for the difference between means and would you retain or reject the null hypothesis?

Suppose that one of the rats in the no noise condition died during the experiment. Could the researcher proceed with the analysis? If so what would the degrees of freedom associated with the critical test statistic be?

Expert Solution

orchestra answered 2 years ago

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