Find the value of t for the difference between two means based on an assumption of normality and this information about two samples. (Use sample 1 - sample 2. Give your answer correct to two decimal places.)
Sample Number Mean Std. Dev.
1 25 38.6 13.7
2 29 42.1 10.2
.
To find the value of t for the difference between two means, we can use the formula:
t = (mean1 - mean2) / (sqrt((std_dev1^2 / n1) + (std_dev2^2 / n2)))
In this case, we have the following information:
Mean1 = 25
Std. Dev1 = 38.6
n1 = unknown
Mean2 = 29
Std. Dev2 = 42.1
n2 = unknown
Since the sample sizes (n1 and n2) are not provided, we cannot directly calculate the t-value. The t-value depends on the degrees of freedom, which is determined by the sample sizes.
To proceed with the calculation, we need to know the sample sizes (n1 and n2). Once those values are provided, we can substitute them into the formula to find the t-value.