Respuesta :
Answer:
Option C) 115 / square of 100 = 11.5
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 496
Standard Deviation, σ = 115
Sample size, n = 100
a) Mean of scores
[tex]\bar{x} = \mu = 496[/tex]
b) The standard Deviation
[tex]s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{115}{\sqrt{100}} = \dfarc{115}{10} = 11.5[/tex]
Thus, the correct answer is
Option C) 115 / square of 100 = 11.5
Answer:
Option C. 115 / square of 100 = 11.5.
Step-by-step explanation:
We are given that Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 496 and standard deviation 115.
An SRS of 100 students is chosen and average their SAT reading scores.
The z score normal probability is given by;
Z = [tex]\frac{xbar-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
So, the mean of the average scores will be close to [tex]\frac{\sigma}{\sqrt{n} }[/tex] i.e.;
= 115 / square root of 100 = [tex]\frac{115}{\sqrt{100} }[/tex] = 115/10 = 11.5
