美国高中生的概率考试题

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Name:______________
Number:-_________
1.
A high school teacher has a group of 5 students who have been randomly selected to take a statewide proficiency test.
The test is constructed so that the average score students achieve is normally distributed with a mean of 100 and a standard deviation of 10.
a.
What should the high school teacher expect the average test score to be if her students are just like the rest of the state?
We can experiment with this by using a calculator to randomly generate a set of test scores.


b.
We can use a TI-83 or TI-84 calculator to generate these test scores by generating random normal values.
Before doing this we need to initialize the random number generator by entering the last four digits of your student ID number into your calculator then hit STO>
MATH > PRB> 1
and hit enter.


c.
Then to generate the random scores go to
MATH > PRB> 6.
Then enter randNorm(100,10) and press ENTER.
Repeat this process 5 times and record the scores below (round to one decimal place).

Sample 1

d.
What are the average and standard deviation of your sample? (Note you may want to use the built in list function of the calculator to save time.)

e.
Rather than just sampling one time we might want to try several times.
Repeat the process from parts a and b two more times.

Sample 2	Sample 3

Average:______
Average:_______

Standard deviation:_____
Standard deviation:______



2.
What would the standard scores for the averages look like?
For each of the three averages you have found calculate the standard score.
Assume you know the standard deviation of the population is 10.
In calculating the standard score use the true population standard deviation of 10.

Sample 1:


Sample 2:


Sample 3:


3.
How far off might our standard score be if we use the sample standard deviation instead of the true population standard deviation?
Recalculate the standard scores using the standard deviation you found from each sample.

Sample 1:


Sample 2:


Sample 3:


4.
Write your results on the board in the location indicated by your instructor.




5.
Examine the two sets of standard scores your classmates listed on the board.
How do the values compare?


Sample 1:


Sample 2:


Sample 3:

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关键词：美国高中 考试题 高中生 distributed constructed 美国 统计 概率 高中