For 2012, the SAT math test had a normally distributed mean of 510 and a standard deviation of 115. The ACT math test had a normally distributed mean of 23 and standard deviation of 5.5.

If one person took the SAT and scored 700, and another person took the ACT and scored 30, who did better and why? Include 2 decimal places in your answers as necessary.

"The person taking the (SAT/ACT)did better because their score was standard deviations above the average whereas the other person's score was standard deviations above the average.

In 2005, 1,532,789 students heading to college took the SAT. The distribution in scores in the math section of the SAT follows a normal distribution with a mean of 515 and a standard deviation of 120.

If an SAT score is 1.5 standard deviations below the mean, what is the score

The time it takes for a dead cell phone battery to fully recharge is normally distributed with a mean of 1.1 hours and a standard deviation of 30 minutes.

What is the probability of your phone taking longer than 1 hour to charge?

The time it takes for a dead cell phone battery to fully recharge is normally distributed with a mean of 1.1 hours and a standard deviation of 30 minutes.

What is the probability that your phone will take between 2 and 2.63 hours to charge? Include 3 decimal places in your answer.

The length of time it takes to drive to work if you leave at 8:30am follows a normal distribution with a mean of 35 minutes and a standard deviation of 12 minutes.

Based on the given information and numerically justified, would you be surprised if it took you less than 20 minutes to drive to work if you leave at 8:30am?