To find the percentage of data items between z = -2 and z = -0.9 in a normal distribution, subtract the lower percentile (17.71%) from the higher percentile (36.12%), resulting in 18.41%.
Here is how you can find it using the table of z-scores and percentiles:
To find the percentage of data items in a normal distribution that lie between two z-scores, you need to subtract the percentile of the lower z-score from the percentile of the higher z-score.
The percentile of a z-score is the percentage of data items that are below that z-score.
You can use the table of z-scores and percentiles to look up the percentiles of the given z-scores. For example, the percentile of z = -2 is 17.71, which means that 17.71% of the data items are below z = -2.
Similarly, the percentile of z = -0.9 is 36.12, which means that 36.12% of the data items are below z = -0.9.
Therefore, the percentage of data items that lie between z = -2 and z = -0.9 is 36.12 - 17.71 = 18.41%.
Complete question:
Use the accompanying table of z-scores and percentiles to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of 0.5. Click the icon to view the table of z-scores and percentiles. a. The percentage of data items that lie below the z-score is %. (Round to two decimal places as needed.)