9645 of the area under the normal distribution curve to the left of it. Your answer should be a z-score of 1.805 that has. Since you are asked to round to 3 decimal places, then your answer would be 1.805 either way. In fact, they are the same when rounded to 4 decimal places. Regardless, both methods will get you an answer that is perfectly acceptable.
The reason is that the interpolation is a straight line interpolation, whereas the calculator is looking at the actual curve itself between the two z-scores, which is not a straight line. That's not exactly equal to 1.805477458, but it's pretty close. If you were to use the z-score normal distribution tables, you would do the following: I used the ti-84 plus calculator to get the more detailed answer. To find the area to the left of z, find the area that corresponds to zin the Standard Normal Table. Find the area by following the directions for each case shown. Sketch the standard normal curve and shade the appropriate area under the curve. This can be seen visually as shown below: Finding Areas Under the Standard Normal Curve 1. 9645 of the area under the normal distribution curve to the left of it would be z = 1.805477458.
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