Question

It has been observed that, during various forms of social competition, men experience an increase in testosterone levels. A 2018 study investigated whether a similar effect exists with players in e-sports competition. Researchers recruited 26 male e-sports players and asked them to play the competitive e-game, League of Legends. The study found that participants had an average testosterone increase of 1.11 pg/ml after playing League of Legends, with a standard deviation of 15.18 pg/ml. Obtain a 95% confidence interval for the corresponding population parameter.

Answer 1

= ( -4.725, 6.945) pg/ml

Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml

Explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 1.11 pg/ml

Standard deviation r = 15.18 pg/ml

Number of samples n = 26

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

1.11+/-1.96(15.18/√26)

1.11+/-1.96(2.977042931397)

1.11+/-5.835004145539

1.11+/-5.835

= ( -4.725, 6.945) pg/ml

Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml