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.