In the NBA LeBron James averaged 231 points per game with s

In the NBA, LeBron James averaged 23.1 points per game with s = 2.1 for 30 games while Carmelo Anthony averages 28.5 points per game. Use a 98% confidence interval to determine if one player is significantly better than the other player when it comes to scoring points.

Solution

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean
1 30 23.10 2.10 0.38
2 30 28.50 2.10 0.38

Difference = mu (1) - mu (2)
Estimate for difference: -5.400
98% CI for difference: (-6.697, -4.103)
T-Test of difference = 0 (vs not =): T-Value = -9.96 P-Value = 0.000 DF = 58
Both use Pooled StDev = 2.1000

Since P-value is 0.000 we reject the null hypothesis.

hence conclude that the one player is significantly better than the other player when it comes to scoring points.