dults have TQ Scores that are normally distributed with a mean of 97 and a standard deviation 24.4. Find the first quartile Q,, which is the 1Q score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is O (Type an integer or decimal rounded to one decimal place as needed.)

A set of data items is normally distributed with a mean of 50 and a standard deviation of 8. Convert 50 to a z-score. 250 (Do not round until the final answer. Then round to the nearest hundredth as needed.) line ces urces

A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 15 cm with a standard deviation of 0.10 cm. For what lengths will a bolt be destroyed? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.) OA. A bolt will be destroyed if the length is less than OB. A bolt will be destroyed if the length is between OC. A bolt will be destroyed if the length is greater than OD. A bolt will be destroyed if the length is less than cm. cm and cm. cm cm or greater than cm. DI

Identify the data value corresponding to the indicated percentile. The amount of sleep an adult gets per day is normally distributed with a mean of 7 hours and a standard deviation of 1.5 hours. Five percent of adults sleep more than how many hours per day?