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 annual precipitation amounts in a certain mountain range are normally distributed with a mean of 84 inches, and a standard deviation of 10 inches. What is the likelihood that the mean annual precipitation during 25 randomly picked years will be less than 86.8 inches?
◦ 0.0808
◦ 0.9192
◦ 0.5808
◦ 0.4192
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.
The weights of the fish in a certain lake are normally distributed with a mean of 15 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the likelihood that the mean weight will be between 12.6 and 18.6 lb?
◦ 0.3270
◦ 0.0968
◦ 0.6730
◦ 0.4032
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