10a In a reforested area of pine trees, heights of trees planted in a specific year seem to follow a normal distribution. A sample of 100 such trees is selected to test the validity of this hypothesis. The results of measuring tree heights, to the nearest centimetre, are recorded in the first two columns of the table below. Observed frequency Expected frequency Height of tree 15 ≤ h<45 45≤ A <75 15% <105 105 ≤ <135 135 <165 165 < 195 195<225 225 s <255 Total 11 15 20 18 14 10 6 100 Describe what is meant by a goodness of fit test (a complete explanation required): 10b. the level of significance of a hypothesis test. 16 20 b 15 C 5 100 10c. Find the mean and standard deviation of the sample data in the table above. Show how you arrived at your answers.

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