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In order to test the hypothesis that the girls in her class are taller than the boys, Mary measures the heights of the first five girls and five boys listed on the class register. She finds the mean height of the girls is 162cm and the mean height of the boys is 158cm. Is she justified in believing her hypothesis has been confirmed? Justify your answer fully. How would you have designed an investigation to test the hypothesis?

I'm quite stuck on the second question. In the first part, I talked about sample being too small/randomness of sample etc Any help would be much appreciated:)

Respuesta :

There are two main problems with the sample size selected in order to test this hypothesis. The first problem is the fact that the sample size is too small to represent the entire class accurately. The second problem is also that the sampling contains a bias; the subjects chosen were chosen on the basis of their names.
Therefore, in order to improve the investigation, you should use a larger sample size and select people randomly from the class.