Draw a curve and shade the area between z=1.15 and z=1.35
We cannot show you this on this bulletin board.
To draw a curve and shade the area between z = 1.15 and z = 1.35, we need to use a graphing program or a mathematical software that supports graphing capabilities such as Desmos, Geogebra, or MATLAB. Since I can't directly draw graphics here, I will explain the steps you can follow to draw the curve and shade the area using a graphing tool:
Step 1: Open your preferred graphing software or visit a graphing website like Desmos (https://www.desmos.com/).
Step 2: On the graphing tool, create an XY plane.
Step 3: Choose the type of graph you want to plot. To plot a curve, we often use the Cartesian coordinate system. The curve can be any function, but let's assume we want to plot a standard normal distribution curve (bell curve) in this case.
Step 4: Plot the standard normal distribution curve on the XY plane. To do that, you can use the equation for the standard normal distribution curve, which is:
f(x) = (1 / sqrt(2 * pi)) * e^(-x^2 / 2)
Step 5: Depending on the graphing tool you are using, there might be a way to specify the range of x-values to be plotted. Adjust the range to cover a wide enough range to clearly see the curve. You can use values like -3 to 3.
Step 6: Use the "shade" or "highlight" function in the graphing tool to shade the area between z = 1.15 and z = 1.35. This will depend on the specific capabilities of the tool you are using. In Desmos, for example, you can use the "shade" function and specify the intervals where you want to shade.
Step 7: Adjust the axes of the graph as necessary to make the curve and shaded area visible and clear.
By following these steps, you should be able to plot the curve and shade the area between z = 1.15 and z = 1.35 using a graphing program or mathematical software.
To draw a curve and shade the area between z=1.15 and z=1.35, we need to use a statistical distribution curve, such as the standard normal distribution curve (also known as the Z-score curve).
The standard normal distribution curve represents the distribution of z-scores, which are calculated based on a mean of 0 and a standard deviation of 1. This curve is symmetrical and bell-shaped.
To shade the area between z=1.15 and z=1.35, we will need to locate these values on the standard normal distribution curve and shade the corresponding region.
Here are the steps to draw the curve and shade the area:
Step 1: Start by drawing a horizontal axis with the values of z-scores. Place the mean of 0 at the center and extend the axis in both directions. Label the axis accordingly.
Step 2: Use a Z-score table or a calculator to find the corresponding probabilities for z=1.15 and z=1.35. The probabilities represent the areas under the curve.
Step 3: Locate the z=1.15 value on the horizontal axis and mark it.
Step 4: Locate the z=1.35 value on the horizontal axis and mark it.
Step 5: Draw a smooth curve connecting the marked points. This curve represents the standard normal distribution.
Step 6: Shade the area between z=1.15 and z=1.35. The shaded region represents the probability or area under the curve between these two z-scores.
Keep in mind that the shading should be on one side of the curve, depending on the specific question. It could be either to the left or right, depending on the context of the problem.
By following these steps, you should be able to draw a curve and shade the area between z=1.15 and z=1.35 on the standard normal distribution curve.