Can someone give me the formula to work this out, I am not sure.
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
t = -1.07
this is not right can you explain how to get the right answer by working it out. there is a few of us working together and we all have different problems so it helps to see it worked out.
To find the value of t for the difference between two means, we can use the t-test formula:
t = (mean1 - mean2) / sqrt((std_dev1^2 / n1) + (std_dev2^2 / n2))
Where:
- mean1 and mean2 are the means of the two samples (25 and 29, respectively)
- std_dev1 and std_dev2 are the standard deviations of the two samples (13.7 and 10.2, respectively)
- n1 and n2 are the sizes of the two samples (which are not provided in the information you provided)
Without knowing the sizes of the two samples, we cannot calculate the t-value. Please provide the sample sizes (n1 and n2).
To find the value of t for the difference between two means, we can use the formula for the t-test. The formula is as follows:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
- x1, x2 are the means of the two samples
- s1, s2 are the standard deviations of the two samples
- n1, n2 are the sizes of the two samples
In your case, the given information is as follows:
Sample 1:
Mean (x1) = 25
Standard Deviation (s1) = 13.7
Sample 2:
Mean (x2) = 29
Standard Deviation (s2) = 10.2
Using this information, we can substitute the values into the formula to calculate t:
t = (25 - 29) / sqrt((13.7^2 / n1) + (10.2^2 / n2))
However, we need the sample sizes (n1, n2) in order to calculate the value of t. Please provide the sample sizes and I can help you further.