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.
Subject A B C D E F G 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
Using a 0.01 level of significance, test the claim that the training technique is effective in
raising the
gymnasts? scores.

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if you can show me how to use it step by step please it will mean a lot

Answer 1

Ans:

Let d=after-before

n=7

	Before	After	difference(d)
A	9.6	9.7	0.1
B	9.4	9.6	0.2
C	9.4	9.4	0
D	9.7	9.6	-0.1
E	9.5	9.6	0.1
F	9.5	9.8	0.3
G	9.6	9.4	-0.2
		mean(d)=	0.0571
		std dev.(sd)=	0.1718

Test statistic:

t=(0.0571-0)/(0.1718/sqrt(7))

t=0.880

df=7-1=6

p-value=tdist(0.88,6,1)=0.2064

As,p-value>0.01,we fail to reject the null hypothesis.

There is not sufficient evidence to support the claim that the training technique is effective inraising the gymnasts scores.