SOLUTION: how do you solve this on ti-84 calculator? Suppose a set of data is exactly Normally distributed with a mean of 6.8, mu=6.8, and a standard deviation of 1.1, sigma=1.1. Acc

Algebra.Com
Question 734795: how do you solve this on ti-84 calculator?
Suppose a set of data is exactly Normally distributed with a mean of 6.8, mu=6.8, and a standard deviation of 1.1, sigma=1.1.

According to the 68-95-99.7 rule, we expect 68% of the observations in the data set to fall
between and .

Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
Suppose a set of data is exactly Normally distributed with a mean of 6.8, mu = 6.8, and a standard deviation of 1.1, sigma=1.1.
You don't use a calculator at all. Calculators won't take the place
of learning what's going on.

Instead of thinking the calculator will keep you from having to
learn the material, you must instead learn what the 68-95-99.7 rule 
is all about.

According to the 68-95-99.7 rule, 

1.  we expect 68% of the observations in the data set to fall
    between 1 standard deviation below the mean and 1 standard 
    deviation above the mean.

2.  we expect 95% of the observations in the data set to fall
    between 2 standard deviations below the mean and 2 standard 
    deviations above the mean.    

3.  we expect 99.7% of the observations in the data set to fall
    between 3 standard deviation below the mean and 3 standard 
    deviation above the mean.

You are asked to fill in these blanks:

We expect 68% of the observations in the data set to fall
between       and      .

So by the rule, we subtract 1 standard deviation 1.1 from the mean 6.8

and get 6.8 - 1.1 = 5.7  to go in the first blank, and

we add 1 standard deviation 1.1 to the mean 6.8 

and get 6.8 + 1.1 = 7.9  to go in the second blank.

we expect 68% of the observations in the data set to fall
between  5.7  and  7.9 .

Edwin

RELATED QUESTIONS

The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are... (answered by ewatrrr)
Suppose that the duration of a particular type of criminal trial is known to be normally... (answered by math_tutor2020)
Assume the random variable X is normally distributed with mean mu equals 50 and... (answered by Boreal)
how do you put the 4th root of 81 into a TI-84 plus... (answered by ilana)
Suppose you have data that is normally distributed with a mean of 36 and a standard... (answered by stanbon)
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a... (answered by ewatrrr)
how do I work this problem? a nurse studied PSA readings and found the data set to be... (answered by stanbon)
Suppose you are working with a data set that is normally distributed with a mean of 400... (answered by stanbon)
Suppose you are working with a data set that is normally distributed with a mean of 400... (answered by ewatrrr)