Z Distrbution Quiz 1 (9 MCQs)

Quiz Instructions

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1. The mean life of a tire is 30, 000 km. The standard deviation is 2000 km. Then, 68% of all tires will have a life between ..... km and ..... km.
2. The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.About what percent of the products last 8 days or more?
3. The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?
4. Find the cumulative area that corresponds to a z-score of 1.25.
5. In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.
6. The monthly phone bills in a city are normally distributed with a mean of 30$ and a standard deviation of 12$ . Find the x-value that correspond to z-scores of 3.17.
7. If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall?
8. The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. Approximately what percent of days in February will have days below 21 degrees? Choose the closest answer.
9. Using a z-score table. Fernando is 60 inches tall. The average height for his age and gender is 68 with a standard deviation of 10 inches. What percent of his peers are shorter than him?