Answer to Question #167667 in Statistics and Probability for kienth bryan doroin

Question #167667

A new sneaker claims that it can make male athletes jump higher. A sample of 69 male athletes is asked to jump once with their own sneakers on and once wearing the new sneakers. The average jump increased by 5.03 inches with the new sneakers with a standard deviation of 2.53 inch(es). Find the lower bound of a 95% confidence interval.


1
Expert's answer
2021-03-01T15:29:35-0500

Solution


Let μ1=\mu_1 = avg. jump with new sneakers

μ2=\mu_2 = avg jump with own sneakers


H0:μ1μ2=0H_0 : \mu_1 - \mu_2 =0 vs H1:μ1μ2>0H_1 : \mu_1 - \mu_2 >0


Lower bound :


(x1ˉx2ˉ)Zα(σn)(\bar{x_1} - \bar {x_2}) - Z_{ \alpha } ({\sigma \over \sqrt {n}})

=5.031.64(2.5369)=5.03-1.64({2.53 \over \sqrt {69}})

=4.5305 inches


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment