Suppose that as a military psychologist you know that the population of sonar operators has a mean identification rate of 82 targets out of 100. You have just developed a new sonar training system that, you claim, will increase the number of targets correctly identified. Using the data from the 15 trainees listed below conduct a single sample t test to determine whether they perform significantly better than the population of sonar operators trained using the traditional method.
Number of targets correctly identified
88 79 92 87 82 86 91 80 77 83 91 85 82 89 94
1. First state the hypotheses - The new sonar training system will increase the number of targets correctly identified better than the traditional method
II. Identify the mean of the population - The mean of the population is 85.7333
III. Compute the mean of the sample - The mean of the sample is 85.7333
IV. Compute the standard error of the mean - The standard error of the mean is 1.329
A. Do you have the population standard deviation? The population standard deviation is 4.973
l. If yes then use the formula to compute the standard error of the mean - The Standard error of the mean is 1.329
2. In this case we do not have the population standard deviation and we must estimate it
a. To use this formula we must compute the standard deviation of the sample
3. Compute t
4. The significance of t
A. Compute the degrees of freedom
B. Look up critical value using the column for a one-tail research hypothesis