A particular scale of personality was designed so that, in the country where it

Question

A particular scale of personality was designed so that, in the country where it was formulated, the distribution of scores for the whole country was approximately normal, with mean 100 and standard deviation 15. Which of the following events is most likely? (A) The mean personality score for a random sample of 9 people from the country is between 95 and 105 (B) The mean personality score for a random sample of 9 people from the country is between 90 and 110 (C) The mean personality score for a random sample of 16 people from the country is between 98 and 102 (D) The mean personality score for a random sample of 16 people from the country is between 95 and 105 (E) The mean personality score for a random sample of 16 people from the country is between 90 and 110

Explanation / Answer

Mean for sample of 9 should still be 100 and standard error will be 15/sqrt(9)= 5

Thus the answer is A

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