Section 2-2 Review Worksheet - Mrs. Bogues' Classroom
AP Statistics: Section 2-2 Warm Up/Calculator Commands
For each question, be sure to draw the appropriate pictures and show the appropriate formulas. Show your work as if this was a quiz or a test.
Mr. Kawa spends a full day at Milan Raceway testing some new tires on his Honda Civic. For 400 laps, he records his lap time in minutes. At the end of the day, he plots the distribution of times and realizes that it follows an approximately normal distribution with a mean of 1.84 and a standard deviation of .07.
1. Mr. Kawa would really like his lap times to be consistently between 1.75 and 1.85 minutes. What proportion of his laps were in this range? Interpret your result in the context of the problem.
2. In order to beat Mr. Butzier, Mr. Kawa needs to have lap times that are less than 1.72 minutes. Find the proportion of laps that were faster than 1.72 minutes. Interpret your result in the context of the problem.
3. In what proportion of lap times did it take Mr. Kawa more than 2 minutes? Interpret your result in the context of the problem.
4. What lap time is necessary for Mr. Kawa to be in the fastest 3% of all his laps? Interpret your result in the context of the problem.
Calculator Functions (use for MC or to check your work…. You will NOT get full credit on FRQ using these!!)
Normcdf: Gives area under curve between 2 values.
Normcdf (min, max, mean, st. dev.)
InvNorm: Gives the x value that corresponds to a percentile (area under the normal curve)
InvNorm (area, mean, st. dev.)
Solve the following using the calculator commands (compare these to the answers you got on the front)
1. Mr. Kawa would really like his lap times to be consistently between 1.75 and 1.85 minutes. What proportion of his laps were in this range? Interpret your result in the context of the problem.
2. In order to beat Mr. Butzier, Mr. Kawa needs to have lap times that are less than 1.72 minutes. Find the proportion of laps that were faster than 1.72 minutes. Interpret your result in the context of the problem.
3. In what proportion of lap times did it take Mr. Kawa more than 2 minutes? Interpret your result in the context of the problem.
4. What lap time is necessary for Mr. Kawa to be in the fastest 3% of all his laps? Interpret your result in the context of the problem.
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