Question 1
Solve the problem. Round the standard score to the nearest tenth before using the z-score tables. Express your answer as a decimal rounded to four decimal places.
The scores on a certain test are normally distributed with a mean score of 51 and a standard deviation of 2. What is the likelihood that a sample of 90 students will have a mean score of at least 51.2108?
◦ 0.1587
◦ 0.8413
◦ 0.3413
◦ 0.3174
Question 2
Solve the problem. Round the standard score to the nearest tenth before using the z-score tables. Express your answer as a decimal rounded to four decimal places.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 70 different applicants are randomly selected, find the likelihood that their mean is above 215.
◦ 0.9938
◦ 0.0026
◦ 0.0062
◦ 0.9398
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