Question

A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their competition scores were recorded before and after the training. The results are shown below. The claim is that the training technique is effective in raising the gymnasts' scores.

Before	9.6	9.4	9.4	9.7	9.5	9.5	9.6
After	9.7	9.6	9.4	9.6	9.6	9.8	9.4

The mean difference (Before-After) is -0.06 with Sd = 0.17.

Using a 0.01 level of significance, state the decision and conclusion of the problem. (Step 4)

Answer 1

Sol:

Ho:Mud=0

Ha:Mud<0

t=xbar/Sd/sqrt(n)

=-0.06/(0.17/sqrt(7))

= -0.9337946

df=n-1=7-1=6

t critical for alpha=0.01 and 6 df is

=T.INV(0.01,6)

=-3.142668403

test statistic>t critical

Fail to reject Ho

Accept Ho

Also p value in esxcel

=T.DIST(-0.9337946,6,TRUE)

=0.193223845

p>0.01

Fail to reject Ho

There is no suffcient statistical evidence at 1% level of significance to conclude that

the training technique is effective in raising the gymnasts' scores.