Question

An exercise scientist wanted to test the effectiveness of a new program designed to increase the flexibility of senior citizens. They recruited participants and rated their flexibility according to a standard scale before starting the program. The participants all went through the program and had their flexibility rated again after a month. The scientist wants to test if the flexibility ratings are significantly higher after a month of the program. Assume that these participants can be considered a representative sample and that all other necessary conditions for inference were met. Which of these is the most appropriate test and alternative hypothesis?

a) Paired t test with H : Mafter before > 0
b) Paired t test with H.: Hafier-before +0
c) Two-sample t test with H: Mbefore > Hafter
d) Two sample t test with H.: wore Manter
e) Two sample t test with H: Meedore Aladder

Answer 1

a) Paired t test with H : Mafter before > 0

Explanation:

As we do not know anything about variances we will perform a paired t test.

We want to check the effectiveness of the new program designed to increase the flexibility of senior citizens.

So we will perform a test where the mean after the program is greater than the mean before the program.

The best option is a.

Option a defines both objectives paired t test and difference of mean after and mean before is greater than zero.

Other options are not correct as they miss out one of the both objectives.