Question

Find the area under a standard normal curve below \( z=1.5 \). The picture looks like: Once we have a z-score, we look in the Standard Normal Table to find the corresponding area. We want the shaded region to the left of \( z=1.5 \). We just look for \( z=1.5 \) in the first column (called " \( z \) " at the top). Now since this is \( z=1.50 \) we look in the column called "_ 0 " and see that the value there is .9332 . Let's look at this slowly: area \( = \) TableLookup \( (z) \) Our table gives us the area from the leftmost point on the curve. So if we want to know the area below a \( z \) value this means from the leftmost point on the curve to our given \( z \) value. All we need to do in this case is look up our \( z \) value from the table and it will give us the area. \[ \begin{aligned} \text { area } & =\text { TableLookup (1.50) } \\ \text { area } & =.9332 \end{aligned} \] \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline & .00 & .01 & .02 & .03 & .04 & .05 & .06 & .07 & .08 & .09 \\ \hline 1.4 & .9192 & .9207 & .9222 & .9236 & .9251 & .9265 & .9279 & .9292 & .9306 & .9319 \\ \hline 1.5 & .9332 & .9345 & .9357 & .9370 & .9382 & .9394 & .9406 & .9418 & .9429 & .9441 \\ \hline 1.6 & .9452 & .9463 & .9474 & .9484 & .9495 & .9505 & .9515 & .9525 & .9535 & .9545 \\ \hline \end{tabular}

          Find the area under a standard normal curve below \( z=1.5 \). The picture looks like:

Once we have a z-score, we look in the Standard Normal Table to find the corresponding area. We want the shaded region to the left of \( z=1.5 \).

We just look for \( z=1.5 \) in the first column (called " \( z \) " at the top). Now since this is \( z=1.50 \) we look in the column called "_ 0 " and see that the value there is .9332 . Let's look at this slowly:
area \( = \) TableLookup \( (z) \)

Our table gives us the area from the leftmost point on the curve. So if we want to know the area below a \( z \) value this means from the leftmost point on the curve to our given \( z \) value. All we need to do in this case is look up our \( z \) value from the table and it will give us the area.
\[
\begin{aligned}
\text { area } & =\text { TableLookup (1.50) } \\
\text { area } & =.9332
\end{aligned}
\]
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline & .00 & .01 & .02 & .03 & .04 & .05 & .06 & .07 & .08 & .09 \\
\hline 1.4 & .9192 & .9207 & .9222 & .9236 & .9251 & .9265 & .9279 & .9292 & .9306 & .9319 \\
\hline 1.5 & .9332 & .9345 & .9357 & .9370 & .9382 & .9394 & .9406 & .9418 & .9429 & .9441 \\
\hline 1.6 & .9452 & .9463 & .9474 & .9484 & .9495 & .9505 & .9515 & .9525 & .9535 & .9545 \\
\hline
\end{tabular}

Find the area under a standard normal curve below z=1.5. The picture looks like:

Once we have a z-score, we look in the Standard Normal Table to find the corresponding area. We want the shaded region to the left of z=1.5.

We just look for z=1.5 in the first column (called " z " at the top). Now since this is z=1.50 we look in the column called " 0 " and see that the value there is .9332 . Let's look at this slowly:
area = TableLookup (z)

Our table gives us the area from the leftmost point on the curve. So if we want to know the area below a z value this means from the leftmost point on the curve to our given z value. All we need to do in this case is look up our z value from the table and it will give us the area.

area = TableLookup (1.50)
area =.9332

.00 .01 .02 .03 .04 .05 .06 .07 .08 .09

1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319

1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441

1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545

Added by Lee K.

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