if a data se has a mean of 10.0 seconds & a standard deviation of 2.0 seconds, what is the z score corresponding to the time of 4.0 seconds?

z-score(4s) = (4-10)/2

Z = (score-mean)/SD

Insert values and calculate.

A particular statistician knows that approximately 35% of people do not tell the truth when polled. If 400 people were polled in a survey, how many would be expected to answer before someone answers untruthfully?

To find the z-score corresponding to a specific value, you can use the formula:

z = (x - μ) / σ

Where:
- x represents the value (in this case, 4.0 seconds)
- μ represents the mean (10.0 seconds)
- σ represents the standard deviation (2.0 seconds)

Substituting these values into the formula, we get:

z = (4.0 - 10.0) / 2.0

Simplifying the equation, we have:

z = -6.0 / 2.0

z = -3.0

Therefore, the z-score corresponding to the time of 4.0 seconds is -3.0.