Respuesta :
Answer:
39
Step-by-step explanation:
i just did it on usa test prep
Using the normal distribution, it is found that the missing data value was of 39.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem, we have that:
[tex]\mu = 43, \sigma = 2, Z = -2.1[/tex]
The missing data value is X, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.1 = \frac{X - 43}{2}[/tex]
[tex]X - 43 = -4.2[/tex]
[tex]X = 38.8[/tex]
Rounding up, the missing data value was of 39.
More can be learned about the normal distribution at https://brainly.com/question/14424710
