Express all z scores with two decimal places.

1) z Score for Helen Mirren’s Age As of this writing, the most recent Oscar-winning Best Actress was Helen Mirren, who was 61 at the time of the award. The Oscar-winning Best Actresses have a mean age of 35.8 years and a standard deviation of 11.3 years.

a. What is the difference between Helen Mirren’s age and the mean age?

b. How many standard deviations is that (the difference found in part (a))?

c. Convert Helen Mirren’s age to a z score.

d. If we consider "usual" ages to be those that convert to z scores between -2 and 2, is Helen Mirren’s age usual or unusual?

2) z Score for Philip Seymour Hoffman’s Age Philip Seymour Hoffman was 38 years of age when he won a Best Actor Oscar for his role in Capote. The Oscar-winning Best Actors have a mean age of 43.8 years and a standard deviation of 8.9 years.

a. What is the difference between Hoffman’s age and the mean age?

b. How many standard deviations is that (the difference found in part (a))?

c. Convert Hoffman’s age to a z score.

d. If we consider "usual" ages to be those that convert to z scores between -2 and 2, is Hoffman’s age usual or unusual?

3) z Score for Old Faithful Eruptions of the Old Faithful geyser have duration times with a mean of 245.0 sec and a standard deviation of 36.4 sec (based on Data Set 15 in Appendix B). One eruption had a duration time of 110 sec.

a. What is the difference between a duration time of 110 sec and the mean?

b. How many standard deviations is that (the difference found in part (a))?

c. Convert the duration time of 110 sec to a z score.

d. If we consider "usual" duration times to be those that convert to z scores between - 2 and 2, is a duration time of 110 sec usual or unusua