Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate th probability that a randomly selected commuter spends for the following cases. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places. Part 1 of 2 (a) More than 31 minutes commuting one way P(X> 31) = 0.1627 %3D Part: 1 / 2 Part 2 of 2 (b) Less than 10 minutes commuting one way P(X< 10) =

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I’ve already posted this one, but I’m posting it again, because I need to be shown what to input into my TI-84 Plus calculator to solve.

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.  What is the minimum IQ required to be able to correctly claim to be in the "top 5%" of IQ scores. Round to the nearest whole number.

There are two national college-entrance examinations, the scholastic aptitude test (SAT) and the American College Testing program (ACT).  Scores on the SATs are approximately normal with mean 500 and standard deviation 100.  Scores on the ACTs are approximately normal with mean 18 and standard deviation 6. Use the links provided for the Normal  (Links to an external site.)calculator and the Inverse Normal  (Links to an external site.) calculator to help complete the problems, you do not need to do any work out by hand. (instructions on how to use these calculators can be found in the week 5 star on the home page)  a)  What percent of all SAT scores are above 600? b)  Which is the greater accomplishment, scoring 630 on the SAT or 22 on the ACT ? Explain your reasoning for your choice. c)  How high a score in the SAT is needed to place in the top 2.5%.

z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of 2.7 years. The 7% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. years