What is the area under the normal curve between z = 0.55 and z = –1.26?

The 20-year average annual costs for $50,000 5-year-renewable term insurance policies (men, age 35) for ten companies are:
214, 352, 379, 344, 335, 347, 338, 300, 300, 361
These companies represent our population of interest.

Make a table showing your calculations and then answer the following questions.

a. (1 point) x =


b. (1 point) N =


c. (1 point) mean =


d. (1 point) ∑(x – μ)2 =


e. (1 point) population variance =


f. (1 point) population standard deviation =

Bob earned 116 on his accounting midterm and 82 on his biology midterm exams. For the accounting midterm, the mean score was 109 with standard deviation of 14. For the biology midterm, the mean score was 70 with standard deviation 5.

(a) Convert the accounting midterm score to a z-score.




(b) Convert the biology midterm score to a z-score.





(c) Which score was the higher with respect to the rest of the class?

Troy took a standardized test to try to get credit for first-year Spanish by examination. If he got the credit by exam, he would not need to take the course. His z score was 2.9. The mean raw (x) score on the exam was 100 and the standard deviation was 12.

(a) Calculate Troy’s raw (x) score.



(b) The language department requires a raw score of 120 to get credit by examination for first-year Spanish. Will Troy get credit based on this exam?

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