In: Statistics and Probability
2. I also want to know if teenage men are bigger sports fans than teenage women. Assuming the populations are approximately normal, I surveyed 15 teenage men and found they watched 6.2 hours of sports per week with a standard deviation of 1.5 hours. I surveyed 13 teenage women and found an average of 7.5 with a standard deviation of 1.6 hours. Find a 95% confidence interval to estimate the difference of men’s to women’s means assuming the variances of the populations are the same.
Answer :
95% confidence interval for mean difference of men's to women's ;
( -2.505 , -0.095 )
Explanation :
If you want to how to find the value in T table then see;
In t table corresponding value of df = 26 & two tailed = 0.05 then value is 2.056 will be obtained