Our students were asked to rate their admiration of Hillary Rodham Clinton on a scale of 1 to 7. They were asked to rate their Jennifer Lopez and Venus Williams on a scale of 1 to 7. The mean rating of Clinton was 4.06 with a standard deviation of 1.70. The mean rating of Jennifer Lopez was 3.72 with a standard deviation of 1.90 and the mean rating of Venus Williams was 2.58 with a standard deviation of 1.46. One of our students rated her admiration of Clinton and Williams at five and her admiration of Lopez at 4.
a. What is her z score of her admiration rating of Clinton?
I know I am suppose to use the population formula( right?)
5-4.06/1.70=0.55
1)
What is her z score of her admiration rating of Clinton?
I know I am suppose to use the population formula( right?)
5-4.06/1.70=0.55
Please explain to me what I am doing incorrectly.
To calculate the z-score for the student's admiration rating of Clinton, you need to use the population formula since you have the population mean and population standard deviation.
The formula to calculate the z-score is:
z = (x - μ) / σ
Where:
- z is the z-score
- x is the individual value (in this case, the student's admiration rating of Clinton)
- μ is the population mean
- σ is the population standard deviation
In this case:
- x = 5 (the student's admiration rating of Clinton)
- μ = 4.06 (the mean rating of Clinton)
- σ = 1.70 (the standard deviation of Clinton)
Substituting these values into the formula:
z = (5 - 4.06) / 1.70
z = 0.55
So, the z-score of the student's admiration rating of Clinton is 0.55.