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4.3.1 Statistical hypothesis testing (A-level only)

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Question 1

A football coach measured the heights and weights of 12 players, The data is shown below.

Height (cm)188194178175185175188193180190181169
Weight (kg)7010083697758908671946861
a.

Draw a scatter graph for this information.

[2]
b.

Give an interpretation of the correlation between the height and weight of the footballers.

[1]
c.

The equation of the regression line is w=1.37h−173w = 1.37h - 173w=1.37h−173

Give an interpretation of the gradient of this regression line.

[1]
d.

The product moment correlation coefficient is calculated to be 0.81.

Stating your hypotheses clearly test, at the 5% significance level, whether there is a positive correlation between height and weight

[4]
e.

Determine whether you would reach the same conclusion at the 1% significance level.

[2]

4.3.1 Statistical hypothesis testing (A-level only) Questions

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