A researcher conducts a t test for dependent means in which it is predicted that there will be a decrease in unemployment from before to after a particular job-skills training program. The cutoff "t" needed is -1.8333. The standard deviation of the distribution of means of change scores is 2.0 and the mean change score for the sample studied is an increase of 5.2.
What is the t score?
-2.84
.38
2.60
.77
To calculate the t score, you need the formula:
t = (mean change score - hypothesized mean) / (standard deviation of the distribution of means of change scores / √sample size)
Given:
Mean change score = 5.2
Hypothesized mean (cutoff "t" needed) = -1.8333
Standard deviation of the distribution of means of change scores = 2.0
The t score can be calculated as:
t = (5.2 - (-1.8333)) / (2.0 / √sample size)
Since the sample size is not explicitly given in the question, we can't solve for the t score without that information.
To find the t score, we can use the formula:
t = (mean change score - hypothesized mean) / (standard deviation / square root of sample size)
Given:
Mean change score (M) = 5.2
Hypothesized mean (μ) = 0 (since it is predicted that there will be a decrease in unemployment)
Standard deviation (σ) = 2.0
We also need to know the sample size (n), which is not provided in the given information. Please provide the sample size so that we can calculate the t score.