QUESTION 1 (10 Marks) The average height of a certain tree population is 65 inches with...

 

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QUESTION 1 (10 Marks) The average height of a certain tree population is 65 inches with a standard deviation of 3 inches. Assume that the heights are normally distributed. a) What is the probability that a randomly selected tree from this population is higher than 70 inches? [4 marks] b) If we want to select the top 10% of trees based on height, what is the minimum height required? [4 marks] c) If a sample of 25 trees is taken from this population, what is the standard deviation of the sample mean? [2 marks] QUESTION 1 (10 Marks) The average height of a certain tree population is 65 inches with a standard deviation of 3 inches. Assume that the heights are normally distributed. a) What is the probability that a randomly selected tree from this population is higher than 70 inches? [4 marks] b) If we want to select the top 10% of trees based on height, what is the minimum height required? [4 marks] c) If a sample of 25 trees is taken from this population, what is the standard deviation of the sample mean? [2 marks]