1. A population of values has a normal distribution with =207.7=207.7 and =30.6=30.6. You intend to draw a random sample of size n=82=82. Find P₆₉, which is the score separating the bottom 69% scores from the top 31% scores. P₆₉ (for single values) = Find P₆₉, which is the mean separating the bottom 69% means from the top 31% means. P₆₉ (for sample means) = Enter your answers as numbers accurate to 1 decimal place. ************NOTE************ round your answer to ONE digit after the decimal point! *********** Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

2. The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 41 and a standard deviation of 6. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 41 and 47? Do not enter the percent symbol. ans = %

3. A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 37 months and a standard deviation of 7 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 44 and 58 months? Do not enter the percent symbol. ans = %