Find the to left of z=2.165. Please example how to find on chart
try playing around here:
http://davidmlane.com/hyperstat/z_table.html
To find the value to the left of z = 2.165 on a standard normal distribution chart, follow these steps:
1. Look for the value closest to 2.165 in the body of the chart.
(Note: Some charts may only include values up to a certain decimal place, so you might need to round 2.165 accordingly. For example, if the chart only includes values with two decimal places, you would round 2.165 to 2.17.)
2. Determine the corresponding z-value for the closest value found in step 1. The z-values are typically listed along the sides or the top/bottom of the chart.
3. Identify the area to the left of the z-value found in step 2. This area represents the cumulative probability up to that point.
4. The value to the left of z = 2.165 corresponds to the cumulative probability shown in the chart for the z-value found in step 2.
Note: The chart may provide a direct value for the cumulative probability to the left of the z-value, or it may provide a range or a fraction that needs to be interpreted. Consult the key or legend on the chart to interpret the information accurately.
To find the value to the left of z = 2.165 using a z-score chart, you need to follow these steps:
Step 1: Look for the z-value in the leftmost column of the chart. In this case, locate the row with a z-value closest to 2.165.
Step 2: Find the corresponding value in the column that represents the second decimal place of the z-value. In this case, since 2.165 is rounded to the third decimal place, we need to find the second decimal place, which is 0.06.
Step 3: Determine the value at the intersection of the row and column identified in Steps 1 and 2. This value represents the cumulative probability to the left of the z-value.
Step 4: Read and interpret the cumulative probability value. This value indicates the proportion or percentage of the population to the left of the z-value.
For example, let's say we have a z-score chart and we need to find the value to the left of z = 2.165. Following the steps described above:
Step 1: Locate the row with the z-value closest to 2.165. For instance, if the closest value is 2.17, we would use that row.
Step 2: Find the column that represents the second decimal place of the z-value. Since 2.165 is rounded to the third decimal place, we need to find the second decimal place, which is 0.06.
Step 3: Identify the value at the intersection of the row (2.17) and column (0.06).
Step 4: Interpret the cumulative probability value obtained from the chart. This value represents the proportion or percentage of the population to the left of z = 2.165. For example, if the chart gives a cumulative probability of 0.9857, it means that approximately 98.57% of the population falls to the left of z = 2.165.
Remember that the specific values on the z-score chart may vary, but the general steps for finding the value to the left of a given z-score remain the same.