1 Company XYZ know that replacement times for the portable MP3 players it produces are normally distributed with a mean of 3.7 years and a standard deviation of 0.7 years. If the company wants to provide a warranty so that only 0.6% of the portable MP3 players will be replaced before the warranty expires, what is the time length of the warranty? warranty years Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

2 The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a standard deviation of 2.65 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.7 inches and a standard deviation of 2.57 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z =? b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z =? c) Who is relatively taller?