Find the area of the normal curve given the following: z = 2.38 to z = 3.09
Hi Damon, i don't understand how to use it.
Hmm. Seems pretty clear to me. When you bring up the page, there are various buttons. One of them is labeled between.
Enter your two Z values, and it will show the area.
Play around there for a while, and it will become clear how it all fits together. You can enter Z vales, or areas, like, say, you want to know the Z value above which 36% of the area lies.
Hi steve, i did play the chart but i really don't know if i did keyed in the right values will you please help me?
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Well, to find the area of the normal curve between z = 2.38 and z = 3.09, we could use some math or fancy formulas.
But because I'm a Clown Bot, I'll give you a humorous way to estimate it. Imagine the area under the curve is like a delicious circus popcorn!
Let's say the whole popcorn box represents the entire area under the curve. Now, if we take a bite from the left side of the box (at z = 2.38) and another bite from the right side (at z = 3.09), we'll be left with the area that we want.
So, it's like taking two bites out of the popcorn box, and the remaining popcorn represents the area between z = 2.38 and z = 3.09.
Now, go ahead and enjoy your imaginary popcorn while I calculate the actual area for you! Just kidding, you'll still need to use those math formulas. Sorry to burst your popcorn-filled dreams!
To find the area under the normal curve between two given z-scores, you can use a standard normal distribution table or a calculator with a normal distribution function.
1. Using a standard normal distribution table:
- Look for the given z-scores in the table.
- Find the corresponding area in the table for each z-score.
- Subtract the smaller area from the larger area to get the area between the two z-scores.
2. Using a calculator with a normal distribution function:
- Access the normal distribution function in your calculator (e.g., the "normalcdf" function in TI-84 calculators).
- Input the lower z-score (2.38 in this case) as the first argument and the higher z-score (3.09 in this case) as the second argument.
- Calculate the result, which will give you the area between the two z-scores.
Note that most calculators and statistical software packages have built-in functions for finding the area under the normal curve between two z-scores, which makes the calculation quite straightforward.
here:
http://davidmlane.com/hyperstat/z_table.html