Question

unit 1. statistical interferences study guide - standard deviation and margin of error are both a measure of variance; they both indicate how spread out or dispersed a set of data is - standard deviation - 1 standard deviation - ____ of the distribution is covered - 2 standard deviations - __ of the distribution is covered - 3 standard deviations - ____ of the distribution is covered - how do we calculate margin of error when given standard deviation? multiply standard deviation by a critical value (z - score)(t - score) and then divide by square root of the sample size (n) - what does it mean when our data set has a large margin of error? small margin of error? the results of a survey or study are less likely to accurately reflect the true population val - why do people running experiments sometimes run additional simulations? what information does it provide?

Explanation:

Step1: Recall normal - distribution property

In a normal distribution, about 68% of the data lies within 1 standard deviation of the mean.

Step2: Recall more normal - distribution properties

About 95% of the data lies within 2 standard deviations of the mean.

Step3: Recall another normal - distribution property

About 99.7% of the data lies within 3 standard deviations of the mean.

Answer:

1 standard deviation - 68% of the distribution is covered
2 standard deviations - 95% of the distribution is covered
3 standard deviations - 99.7% of the distribution is covered